  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =    0.0000000000000000        b =    0.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =    1.0000000000000000        0.0000000000000000        0.0000000000000000     
 true [c,s,r] =    1.0000000000000000        0.0000000000000000        0.0000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =    0.0000000000000000        b =    2.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =    0.0000000000000000        1.0000000000000000        2.0000000000000000     
 true [c,s,r] =    0.0000000000000000        1.0000000000000000        2.0000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =    6.0000000000000000        b =   -8.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   0.60000000000000009      -0.80000000000000004        10.000000000000000     
 true [c,s,r] =   0.59999999999999998      -0.80000000000000004        10.000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 1.1E-17
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =    8.0000000000000000        b =    6.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   0.80000000000000004       0.60000000000000009        10.000000000000000     
 true [c,s,r] =   0.80000000000000004       0.59999999999999998        10.000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 1.1E-17
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -5.3930794045869475E+307   b =   -7.1907725394492630E+307   relTol =    2.2204460492503131E-016
  
 [c,s,r]      =  -0.60000000000000009      -0.80000000000000004        8.9884656743115785E+307
 true [c,s,r] =  -0.60000000000000009      -0.80000000000000004        8.9884656743115785E+307


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -6.6752215755216041E-308   b =   -8.9002954340288055E-308   relTol =    2.2204460492503131E-016
  
 [c,s,r]      =  -0.60000000000000009      -0.80000000000000004        1.1125369292536007E-307
 true [c,s,r] =  -0.59999999999999998      -0.80000000000000004        1.1125369292536007E-307


  symortho  appears to be successful.  Relative error in [c,s,r] = 1.1E-16
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -5.3930794045869475E+307   b =   -4.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   -1.0000000000000000       -7.4169128616906716E-308   5.3930794045869475E+307
 true [c,s,r] =   -1.0000000000000000       -7.4169128616906716E-308   5.3930794045869475E+307


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -4.0000000000000000        b =   -5.3930794045869475E+307   relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   -7.4169128616906716E-308  -1.0000000000000000        5.3930794045869475E+307
 true [c,s,r] =   -7.4169128616906716E-308  -1.0000000000000000        5.3930794045869475E+307


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -3.0000000000000000        b =   -8.9002954340288055E-308   relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   -1.0000000000000000       -2.9667651446762683E-308   3.0000000000000000     
 true [c,s,r] =   -1.0000000000000000       -2.9667651446762683E-308   3.0000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
 -----------------------------------------------------
 Test of  SYMORTHO.
 -----------------------------------------------------
 a =   -6.6752215755216041E-308   b =   -4.0000000000000000        relTol =    2.2204460492503131E-016
  
 [c,s,r]      =   -1.6688053938804010E-308  -1.0000000000000000        4.0000000000000000     
 true [c,s,r] =   -1.6688053938804010E-308  -1.0000000000000000        4.0000000000000000     


  symortho  appears to be successful.  Relative error in [c,s,r] = 0.0E+00
  
  MINRESQLP tests with use_default =  F


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      1      ||b||    =   1.00E+00   precon   =   F
 itnlim   =      3      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.00E+00  1.00E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0000000000E+00  1.00E+00  0.00E+00  0.00E+00  0.00E+00  0.00E+00  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  0.0000E+00
 Exit  MINRES-QLP.       xnorm =  1.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      1  Itns =      1  Relative error in x = 0.0E+00


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      1      ||b||    =   9.90E-01   precon   =   F
 itnlim   =      3      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  9.90E-01  9.80E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0000000000E+00  1.00E+00  0.00E+00  8.59E-18  0.00E+00  0.00E+00  9.90E-01  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  9.9000E-01     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  8.5869E-18
 Exit  MINRES-QLP.       xnorm =  1.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      1  Itns =      1  Relative error in x = 0.0E+00


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.41E+00   precon   =   F
 itnlim   =      6      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.41E+00  1.12E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2000000000E+00  1.70E+00  4.47E-01  2.83E-01  1.62E-01  6.86E-01  7.91E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  1.11E-16  1.11E-16  3.19E-17  1.08E+00  9.22E-01  1.70E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.2195E-01     Acond  =  1.7000E+00
 Exit  MINRES-QLP.       rnorm =  1.1102E-16     Arnorm =  1.1102E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 5.0E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.39E+00   precon   =   F
 itnlim   =      6      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.39E+00  1.09E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.1854359184E+00  1.69E+00  4.44E-01  2.75E-01  1.64E-01  6.77E-01  7.83E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  0.00E+00  2.47E-16  0.00E+00  0.00E+00  9.15E-01  1.73E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.1479E-01     Acond  =  1.7251E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  2.4721E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 2.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      3      ||b||    =   1.94E+00   precon   =   F
 itnlim   =      9      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.94E+00  1.38E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.3246753247E+00  2.57E+00  6.64E-01  3.88E-01  1.76E-01  6.90E-01  7.09E-01  1.00E+00  
       2   2.4024896266E+00  3.40E+00  2.58E-01  1.37E-01  5.34E-02  6.27E-01  8.47E-01  1.71E+00  
       3   3.0000000000E+00  3.74E+00  6.02E-17  9.93E-16  1.18E-17  1.95E+01  8.47E-01  2.11E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       3
 Exit  MINRES-QLP.       Anorm =  8.4686E-01     Acond  =  2.1087E+00
 Exit  MINRES-QLP.       rnorm =  6.0210E-17     Arnorm =  9.9301E-16
 Exit  MINRES-QLP.       xnorm =  3.7417E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      3  Itns =      3  Relative error in x = 3.6E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      3      ||b||    =   1.91E+00   precon   =   F
 itnlim   =      9      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.91E+00  1.34E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2952305177E+00  2.55E+00  6.57E-01  3.78E-01  1.77E-01  6.84E-01  7.03E-01  1.00E+00  
       2   2.3714135587E+00  3.38E+00  2.60E-01  1.34E-01  5.46E-02  6.13E-01  8.40E-01  1.72E+00  
       3   3.0000000000E+00  3.74E+00  8.39E-17  2.35E-16  1.66E-17  3.34E+00  8.40E-01  2.17E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       3
 Exit  MINRES-QLP.       Anorm =  8.4016E-01     Acond  =  2.1713E+00
 Exit  MINRES-QLP.       rnorm =  8.3912E-17     Arnorm =  2.3522E-16
 Exit  MINRES-QLP.       xnorm =  3.7417E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      3  Itns =      3  Relative error in x = 1.3E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.55E+00   precon   =   F
 itnlim   =     12      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.55E+00  1.70E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.4054054054E+00  3.58E+00  8.89E-01  4.94E-01  1.80E-01  6.93E-01  6.67E-01  1.00E+00  
       2   2.6666666667E+00  4.73E+00  3.92E-01  1.93E-01  6.19E-02  6.15E-01  8.01E-01  1.70E+00  
       3   3.6011080332E+00  5.28E+00  1.58E-01  7.88E-02  2.33E-02  6.23E-01  8.01E-01  2.22E+00  
       4   4.0000000000E+00  5.48E+00  7.24E-17  1.11E-16  1.04E-17  1.91E+00  8.01E-01  2.31E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       4
 Exit  MINRES-QLP.       Anorm =  8.0139E-01     Acond  =  2.3113E+00
 Exit  MINRES-QLP.       rnorm =  7.2378E-17     Arnorm =  1.1102E-16
 Exit  MINRES-QLP.       xnorm =  5.4772E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      4  Relative error in x = 8.1E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.50E+00   precon   =   F
 itnlim   =     12      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.50E+00  1.65E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.3603238653E+00  3.54E+00  8.76E-01  4.80E-01  1.81E-01  6.89E-01  6.61E-01  1.00E+00  
       2   2.6029907054E+00  4.69E+00  3.92E-01  1.88E-01  6.30E-02  6.03E-01  7.95E-01  1.71E+00  
       3   3.5600394552E+00  5.26E+00  1.63E-01  7.84E-02  2.44E-02  6.06E-01  7.95E-01  2.27E+00  
       4   4.0000000000E+00  5.48E+00  5.05E-17  4.07E-16  7.37E-18  1.01E+01  7.95E-01  2.42E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       4
 Exit  MINRES-QLP.       Anorm =  7.9483E-01     Acond  =  2.4183E+00
 Exit  MINRES-QLP.       rnorm =  5.0485E-17     Arnorm =  4.0662E-16
 Exit  MINRES-QLP.       xnorm =  5.4772E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      4  Relative error in x = 3.6E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    150      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.70E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7156869083E+00  1.16E+02  2.40E+01  1.10E+01  1.83E-01  6.97E-01  5.45E-01  1.00E+00  
       2   3.8523730865E+00  1.53E+02  1.15E+01  4.64E+00  6.80E-02  6.15E-01  6.58E-01  1.70E+00  
       3   6.3612950999E+00  1.72E+02  6.41E+00  2.35E+00  3.54E-02  5.57E-01  6.58E-01  2.25E+00  
       4   9.1862129329E+00  1.82E+02  3.96E+00  1.34E+00  2.11E-02  5.14E-01  6.58E-01  2.85E+00  
       5   1.2265258670E+01  1.89E+02  2.62E+00  8.25E-01  1.36E-02  4.79E-01  6.58E-01  3.51E+00  
       6   1.5532966561E+01  1.94E+02  1.82E+00  5.40E-01  9.32E-03  4.51E-01  6.58E-01  4.21E+00  
       7   1.8922387753E+01  1.97E+02  1.32E+00  3.71E-01  6.67E-03  4.28E-01  6.58E-01  4.95E+00  
       8   2.2367150076E+01  1.99E+02  9.82E-01  2.64E-01  4.94E-03  4.08E-01  6.58E-01  5.73E+00  
       9   2.5803271968E+01  2.01E+02  7.50E-01  1.94E-01  3.75E-03  3.93E-01  6.58E-01  6.55E+00  

      10   2.9170501199E+01  2.02E+02  5.84E-01  1.46E-01  2.90E-03  3.80E-01  6.58E-01  7.39E+00  
      20   4.9241903593E+01  2.07E+02  4.33E-02  1.27E-02  2.12E-04  4.46E-01  6.58E-01  1.16E+01  
      30   4.9999933783E+01  2.07E+02  2.65E-04  1.02E-04  1.30E-06  5.86E-01  6.58E-01  1.16E+01  
      40   5.0000000000E+01  2.07E+02  4.50E-08  2.04E-08  2.20E-10  6.87E-01  6.58E-01  1.16E+01  
      44   5.0000000000E+01  2.07E+02  3.14E-10  1.49E-10  1.54E-12  7.22E-01  6.58E-01  1.16E+01  
      45   5.0000000000E+01  2.07E+02  7.35E-11  3.53E-11  3.60E-13  7.30E-01  6.58E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      45
 Exit  MINRES-QLP.       Anorm =  6.5841E-01     Acond  =  1.1664E+01
 Exit  MINRES-QLP.       rnorm =  7.3492E-11     Arnorm =  3.5325E-11
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     45  Relative error in x = 8.9E-13


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   F
 itnlim   =    150      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.62E+01  3.57E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   8.6633684178E-01  1.15E+02  2.34E+01  1.06E+01  1.83E-01  6.97E-01  5.40E-01  1.00E+00  
       2   1.9625553305E+00  1.51E+02  1.12E+01  4.48E+00  6.80E-02  6.15E-01  6.52E-01  1.70E+00  
       3   3.2758289221E+00  1.69E+02  6.25E+00  2.27E+00  3.55E-02  5.57E-01  6.52E-01  2.25E+00  
       4   4.7909221574E+00  1.80E+02  3.86E+00  1.29E+00  2.11E-02  5.13E-01  6.52E-01  2.85E+00  
       5   6.4904351588E+00  1.86E+02  2.55E+00  7.97E-01  1.36E-02  4.79E-01  6.52E-01  3.51E+00  
       6   8.3550675130E+00  1.91E+02  1.78E+00  5.22E-01  9.34E-03  4.50E-01  6.52E-01  4.21E+00  
       7   1.0363892512E+01  1.94E+02  1.29E+00  3.58E-01  6.70E-03  4.25E-01  6.52E-01  4.96E+00  
       8   1.2494651039E+01  1.96E+02  9.67E-01  2.55E-01  4.98E-03  4.04E-01  6.52E-01  5.75E+00  
       9   1.4724115229E+01  1.98E+02  7.45E-01  1.87E-01  3.82E-03  3.84E-01  6.52E-01  6.59E+00  

      10   1.7028636091E+01  1.99E+02  5.88E-01  1.40E-01  3.00E-03  3.65E-01  6.52E-01  7.49E+00  
      20   4.1554012121E+01  2.06E+02  1.18E-01  2.45E-02  5.88E-04  3.20E-01  6.52E-01  2.28E+01  
      30   4.9996790634E+01  2.07E+02  1.82E-03  6.69E-04  9.04E-06  5.64E-01  6.52E-01  2.36E+01  
      40   5.0000000000E+01  2.07E+02  4.36E-07  1.92E-07  2.17E-09  6.75E-01  6.52E-01  2.36E+01  
      45   5.0000000000E+01  2.07E+02  8.10E-10  3.80E-10  4.02E-12  7.20E-01  6.52E-01  2.39E+01  
      46   5.0000000000E+01  2.07E+02  1.72E-10  8.19E-11  8.56E-13  7.29E-01  6.52E-01  2.36E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      46
 Exit  MINRES-QLP.       Anorm =  6.5195E-01     Acond  =  2.3632E+01
 Exit  MINRES-QLP.       rnorm =  1.7223E-10     Arnorm =  8.1861E-11
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     46  Relative error in x = 2.0E-12


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.41E+00   precon   =   T
 itnlim   =      6      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.73E+00  1.73E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.0000000000E+00  1.73E+00  3.33E-16  1.24E-16  9.61E-17  3.73E-01  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  3.3307E-16     Arnorm =  1.2413E-16
 Exit  MINRES-QLP.       xnorm =  1.7321E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      1  Relative error in x = 1.1E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.39E+00   precon   =   T
 itnlim   =      6      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.72E+00  1.72E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.0000000000E+00  1.72E+00  0.00E+00  1.21E-17  0.00E+00  0.00E+00  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  1.2083E-17
 Exit  MINRES-QLP.       xnorm =  1.7176E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      1  Relative error in x = 0.0E+00


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   T
 itnlim   =    150      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.06E+02  1.06E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   5.0000000000E+01  1.06E+02  4.24E-14  1.23E-14  2.00E-16  2.90E-01  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  4              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  4.2450E-14     Arnorm =  1.2305E-14
 Exit  MINRES-QLP.       xnorm =  1.0616E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =      1  Relative error in x = 3.6E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   T
 itnlim   =    150      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.04E+02  1.04E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   5.0000000000E+01  1.04E+02  5.80E-14  1.81E-14  2.78E-16  3.12E-01  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  4              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  5.7955E-14     Arnorm =  1.8094E-14
 Exit  MINRES-QLP.       xnorm =  1.0412E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =      1  Relative error in x = 5.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.1000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   T
 itnlim   =    150      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.05E+02  1.04E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   5.0631333932E+01  1.06E+02  6.42E+00  4.78E+00  3.06E-02  7.51E-01  9.86E-01  1.00E+00  
       2   4.9974146953E+01  1.08E+02  6.94E-01  5.29E-01  3.28E-03  7.69E-01  9.91E-01  1.34E+00  
       3   5.0000435082E+01  1.08E+02  3.95E-02  3.29E-02  1.87E-04  8.41E-01  9.91E-01  1.33E+00  
       4   4.9999997940E+01  1.08E+02  1.04E-03  9.07E-04  4.91E-06  8.79E-01  9.91E-01  1.34E+00  
       5   5.0000000001E+01  1.08E+02  5.81E-06  5.27E-06  2.74E-08  9.16E-01  9.91E-01  1.33E+00  
       6   5.0000000000E+01  1.08E+02  6.37E-18  7.49E-15  3.01E-20  1.19E+03  9.91E-01  1.34E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       6
 Exit  MINRES-QLP.       Anorm =  9.9134E-01     Acond  =  1.3394E+00
 Exit  MINRES-QLP.       rnorm =  6.3677E-18     Arnorm =  7.4852E-15
 Exit  MINRES-QLP.       xnorm =  1.0766E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =      6  Relative error in x = 2.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.1000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   T
 itnlim   =    150      rtol     =   1.00E-12   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.03E+02  1.01E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   5.0639995903E+01  1.04E+02  6.43E+00  4.74E+00  3.13E-02  7.44E-01  9.85E-01  1.00E+00  
       2   4.9971600206E+01  1.06E+02  7.39E-01  5.58E-01  3.56E-03  7.61E-01  9.91E-01  1.35E+00  
       3   5.0000512834E+01  1.06E+02  4.40E-02  3.66E-02  2.12E-04  8.38E-01  9.91E-01  1.35E+00  
       4   4.9999997479E+01  1.06E+02  1.19E-03  1.04E-03  5.73E-06  8.78E-01  9.91E-01  1.35E+00  
       5   5.0000000001E+01  1.06E+02  6.72E-06  6.10E-06  3.24E-08  9.15E-01  9.91E-01  1.35E+00  
       6   5.0000000000E+01  1.06E+02  2.26E-17  6.07E-15  1.09E-19  2.70E+02  9.91E-01  1.35E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       6
 Exit  MINRES-QLP.       Anorm =  9.9129E-01     Acond  =  1.3526E+00
 Exit  MINRES-QLP.       rnorm =  2.2641E-17     Arnorm =  6.0675E-15
 Exit  MINRES-QLP.       xnorm =  1.0565E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =      6  Relative error in x = 2.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   1.80E+00   precon   =   F
 itnlim   =     12      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.80E+00  7.91E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.2000000000E+00  3.97E+00  4.74E-01  1.35E-01  1.34E-01  5.93E-01  4.39E-01  1.00E+00  
       2   4.0000000000E+00  5.00E+00  9.24E-17  2.78E-17  2.20E-17  6.25E-01  4.81E-01  1.85E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  4.8088E-01     Acond  =  1.8500E+00
 Exit  MINRES-QLP.       rnorm =  9.2376E-17     Arnorm =  2.7756E-17
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 8.9E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.3000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   6.32E-01   precon   =   F
 itnlim   =     12      rtol     =   1.00E-12   shift    =   3.00000000000000E-01
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.32E-01  1.20E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -9.6551724138E-01  3.05E+00  2.49E-01  1.31E-02  2.05E-01  2.63E-01  1.90E-01  1.00E+00  
       2   4.0000000000E+00  5.00E+00  3.68E-17  0.00E+00  2.26E-17  0.00E+00  1.99E-01  3.97E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  1.9935E-01     Acond  =  3.9741E+00
 Exit  MINRES-QLP.       rnorm =  3.6799E-17     Arnorm =  0.0000E+00
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 8.9E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    150      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.69E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7180943901E+00  1.16E+02  2.39E+01  1.09E+01  1.82E-01  6.95E-01  5.45E-01  1.00E+00  
       2   3.8644538109E+00  1.53E+02  1.14E+01  4.58E+00  6.77E-02  6.11E-01  6.57E-01  1.70E+00  
       3   6.3954779963E+00  1.72E+02  6.36E+00  2.30E+00  3.52E-02  5.50E-01  6.57E-01  2.26E+00  
       4   9.2579303917E+00  1.82E+02  3.91E+00  1.29E+00  2.08E-02  5.04E-01  6.57E-01  2.88E+00  
       5   1.2389816033E+01  1.89E+02  2.57E+00  7.91E-01  1.34E-02  4.68E-01  6.57E-01  3.55E+00  
       6   1.5722893791E+01  1.94E+02  1.78E+00  5.14E-01  9.14E-03  4.38E-01  6.57E-01  4.27E+00  
       7   1.9185796048E+01  1.97E+02  1.29E+00  3.50E-01  6.52E-03  4.14E-01  6.57E-01  5.05E+00  
       8   2.2706980590E+01  1.99E+02  9.55E-01  2.48E-01  4.80E-03  3.95E-01  6.57E-01  5.86E+00  
       9   2.6217158315E+01  2.01E+02  7.27E-01  1.81E-01  3.63E-03  3.79E-01  6.57E-01  6.71E+00  

      10   2.9651001936E+01  2.03E+02  5.63E-01  1.36E-01  2.80E-03  3.66E-01  6.57E-01  7.58E+00  
      20   4.9405101158E+01  2.07E+02  3.75E-02  1.08E-02  1.84E-04  4.38E-01  6.57E-01  1.17E+01  
      30   4.9999971981E+01  2.07E+02  1.69E-04  6.37E-05  8.27E-07  5.75E-01  6.57E-01  1.17E+01  
      40   5.0000000000E+01  2.07E+02  1.47E-08  6.52E-09  7.22E-11  6.74E-01  6.57E-01  1.17E+01  
      43   5.0000000000E+01  2.07E+02  2.66E-10  1.22E-10  1.30E-12  7.00E-01  6.57E-01  1.18E+01  
      44   5.0000000000E+01  2.07E+02  5.65E-11  2.63E-11  2.77E-13  7.08E-01  6.57E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      44
 Exit  MINRES-QLP.       Anorm =  6.5701E-01     Acond  =  1.1737E+01
 Exit  MINRES-QLP.       rnorm =  5.6494E-11     Arnorm =  2.6284E-11
 Exit  MINRES-QLP.       xnorm =  2.0717E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     44  Relative error in x = 6.8E-13


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.29E+00   precon   =   F
 itnlim   =     12      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.29E+00  7.91E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.2000000000E+00  5.04E+00  1.49E+00  1.35E-01  3.70E-01  1.88E-01  3.45E-01  1.00E+00  
       1   4.0000000000E+00  9.85E+00  1.41E+00  4.41E-16  2.01E-01  6.49E-16  4.81E-01  5.75E+00  
       2   4.0000000000E+00  5.00E+00  1.41E+00  3.33E-16  2.01E-01  4.90E-16  4.81E-01  5.75E+00  

 Exit  MINRES-QLP.       istop =  6              itn    =       2
 Exit  MINRES-QLP.       Anorm =  4.8088E-01     Acond  =  5.7537E+00
 Exit  MINRES-QLP.       rnorm =  1.4142E+00     Arnorm =  3.3307E-16
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 1.4E-15


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    150      rtol     =   1.00E-12   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.69E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7180943901E+00  1.16E+02  2.40E+01  1.09E+01  1.83E-01  6.94E-01  5.44E-01  1.00E+00  
       2   3.8644538109E+00  1.53E+02  1.15E+01  4.58E+00  6.82E-02  6.06E-01  6.57E-01  1.70E+00  
       3   6.3954779963E+00  1.72E+02  6.51E+00  2.30E+00  3.60E-02  5.37E-01  6.57E-01  2.27E+00  
       4   9.2579303917E+00  1.83E+02  4.16E+00  1.29E+00  2.21E-02  4.74E-01  6.57E-01  2.94E+00  
       5   1.2389816033E+01  1.90E+02  2.94E+00  7.91E-01  1.52E-02  4.10E-01  6.57E-01  3.74E+00  
       6   1.5722893791E+01  1.95E+02  2.28E+00  5.14E-01  1.16E-02  3.43E-01  6.57E-01  4.78E+00  
       7   1.9185796048E+01  2.00E+02  1.91E+00  3.50E-01  9.61E-03  2.79E-01  6.57E-01  6.20E+00  
       8   2.2706980590E+01  2.03E+02  1.71E+00  2.48E-01  8.47E-03  2.21E-01  6.57E-01  8.20E+00  
       9   2.6217158315E+01  2.07E+02  1.59E+00  1.81E-01  7.81E-03  1.73E-01  6.57E-01  1.10E+01  

      10   2.9651001936E+01  2.10E+02  1.52E+00  1.36E-01  7.39E-03  1.36E-01  6.57E-01  1.50E+01  
      20   4.9405101158E+01  2.71E+02  1.41E+00  1.08E-02  5.76E-03  1.16E-02  6.57E-01  1.92E+02  
      30   4.9999971981E+01  3.22E+02  1.41E+00  6.37E-05  5.06E-03  6.86E-05  6.57E-01  1.18E+04  
      39   5.0000000000E+01  3.53E+02  1.41E+00  2.15E-08  4.72E-03  2.31E-08  6.57E-01  1.81E+07 P

      40   5.0000000000E+01  3.56E+02  1.41E+00  8.52E-09  4.68E-03  9.17E-09  6.57E-01  5.29E+07  
      45   5.0000000000E+01  7.78E+06  1.41E+00  1.15E-05  2.77E-07  1.23E-05  6.57E-01  2.01E+11  
      46   5.0000000000E+01  2.07E+02  1.41E+00  1.21E-05  2.77E-07  1.31E-05  6.57E-01  2.01E+11  

 Exit  MINRES-QLP.       istop = 12              itn    =      46
 Exit  MINRES-QLP.       Anorm =  6.5701E-01     Acond  =  2.0123E+11
 Exit  MINRES-QLP.       rnorm =  1.4142E+00     Arnorm =  1.2149E-05
 Exit  MINRES-QLP.       xnorm =  2.0717E+02
 Exit  MINRES-QLP.       xnorm has exceeded maxxnorm or will exceed it next iteration.    


  minresqlp appears to be successful.  n =     50  Itns =     46  Relative error in x = 2.9E-07
  
  MINRESQLP tests with use_default =  T


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      1      ||b||    =   1.00E+00   precon   =   F
 itnlim   =      4      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.00E+00  1.00E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0000000000E+00  1.00E+00  0.00E+00  0.00E+00  0.00E+00  0.00E+00  1.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  1.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  0.0000E+00
 Exit  MINRES-QLP.       xnorm =  1.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      1  Itns =      1  Relative error in x = 0.0E+00


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      1      ||b||    =   9.90E-01   precon   =   F
 itnlim   =      4      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  9.90E-01  9.80E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0000000000E+00  1.00E+00  0.00E+00  8.59E-18  0.00E+00  0.00E+00  9.90E-01  1.00E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       1
 Exit  MINRES-QLP.       Anorm =  9.9000E-01     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  8.5869E-18
 Exit  MINRES-QLP.       xnorm =  1.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      1  Itns =      1  Relative error in x = 0.0E+00


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.41E+00   precon   =   F
 itnlim   =      8      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.41E+00  1.12E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2000000000E+00  1.70E+00  4.47E-01  2.83E-01  1.62E-01  6.86E-01  7.91E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  1.11E-16  1.11E-16  3.19E-17  1.08E+00  9.22E-01  1.70E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.2195E-01     Acond  =  1.7000E+00
 Exit  MINRES-QLP.       rnorm =  1.1102E-16     Arnorm =  1.1102E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 5.0E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.39E+00   precon   =   F
 itnlim   =      8      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.39E+00  1.09E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.1854359184E+00  1.69E+00  4.44E-01  2.75E-01  1.64E-01  6.77E-01  7.83E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  0.00E+00  2.47E-16  0.00E+00  0.00E+00  9.15E-01  1.73E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.1479E-01     Acond  =  1.7251E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  2.4721E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 2.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      3      ||b||    =   1.94E+00   precon   =   F
 itnlim   =     12      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.94E+00  1.38E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.3246753247E+00  2.57E+00  6.64E-01  3.88E-01  1.76E-01  6.90E-01  7.09E-01  1.00E+00  
       2   2.4024896266E+00  3.40E+00  2.58E-01  1.37E-01  5.34E-02  6.27E-01  8.47E-01  1.71E+00  
       3   3.0000000000E+00  3.74E+00  6.02E-17  9.93E-16  1.18E-17  1.95E+01  8.47E-01  2.11E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       3
 Exit  MINRES-QLP.       Anorm =  8.4686E-01     Acond  =  2.1087E+00
 Exit  MINRES-QLP.       rnorm =  6.0210E-17     Arnorm =  9.9301E-16
 Exit  MINRES-QLP.       xnorm =  3.7417E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      3  Itns =      3  Relative error in x = 3.6E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      3      ||b||    =   1.91E+00   precon   =   F
 itnlim   =     12      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.91E+00  1.34E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2952305177E+00  2.55E+00  6.57E-01  3.78E-01  1.77E-01  6.84E-01  7.03E-01  1.00E+00  
       2   2.3714135587E+00  3.38E+00  2.60E-01  1.34E-01  5.46E-02  6.13E-01  8.40E-01  1.72E+00  
       3   3.0000000000E+00  3.74E+00  8.39E-17  2.35E-16  1.66E-17  3.34E+00  8.40E-01  2.17E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       3
 Exit  MINRES-QLP.       Anorm =  8.4016E-01     Acond  =  2.1713E+00
 Exit  MINRES-QLP.       rnorm =  8.3912E-17     Arnorm =  2.3522E-16
 Exit  MINRES-QLP.       xnorm =  3.7417E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      3  Itns =      3  Relative error in x = 1.3E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.55E+00   precon   =   F
 itnlim   =     16      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.55E+00  1.70E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.4054054054E+00  3.58E+00  8.89E-01  4.94E-01  1.80E-01  6.93E-01  6.67E-01  1.00E+00  
       2   2.6666666667E+00  4.73E+00  3.92E-01  1.93E-01  6.19E-02  6.15E-01  8.01E-01  1.70E+00  
       3   3.6011080332E+00  5.28E+00  1.58E-01  7.88E-02  2.33E-02  6.23E-01  8.01E-01  2.22E+00  
       4   4.0000000000E+00  5.48E+00  7.24E-17  1.11E-16  1.04E-17  1.91E+00  8.01E-01  2.31E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       4
 Exit  MINRES-QLP.       Anorm =  8.0139E-01     Acond  =  2.3113E+00
 Exit  MINRES-QLP.       rnorm =  7.2378E-17     Arnorm =  1.1102E-16
 Exit  MINRES-QLP.       xnorm =  5.4772E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      4  Relative error in x = 8.1E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.50E+00   precon   =   F
 itnlim   =     16      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.50E+00  1.65E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.3603238653E+00  3.54E+00  8.76E-01  4.80E-01  1.81E-01  6.89E-01  6.61E-01  1.00E+00  
       2   2.6029907054E+00  4.69E+00  3.92E-01  1.88E-01  6.30E-02  6.03E-01  7.95E-01  1.71E+00  
       3   3.5600394552E+00  5.26E+00  1.63E-01  7.84E-02  2.44E-02  6.06E-01  7.95E-01  2.27E+00  
       4   4.0000000000E+00  5.48E+00  5.05E-17  4.07E-16  7.37E-18  1.01E+01  7.95E-01  2.42E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       4
 Exit  MINRES-QLP.       Anorm =  7.9483E-01     Acond  =  2.4183E+00
 Exit  MINRES-QLP.       rnorm =  5.0485E-17     Arnorm =  4.0662E-16
 Exit  MINRES-QLP.       xnorm =  5.4772E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      4  Relative error in x = 3.6E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.70E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7156869083E+00  1.16E+02  2.40E+01  1.10E+01  1.83E-01  6.97E-01  5.45E-01  1.00E+00  
       2   3.8523730865E+00  1.53E+02  1.15E+01  4.64E+00  6.80E-02  6.15E-01  6.58E-01  1.70E+00  
       3   6.3612950999E+00  1.72E+02  6.41E+00  2.35E+00  3.54E-02  5.57E-01  6.58E-01  2.25E+00  
       4   9.1862129329E+00  1.82E+02  3.96E+00  1.34E+00  2.11E-02  5.14E-01  6.58E-01  2.85E+00  
       5   1.2265258670E+01  1.89E+02  2.62E+00  8.25E-01  1.36E-02  4.79E-01  6.58E-01  3.51E+00  
       6   1.5532966561E+01  1.94E+02  1.82E+00  5.40E-01  9.32E-03  4.51E-01  6.58E-01  4.21E+00  
       7   1.8922387753E+01  1.97E+02  1.32E+00  3.71E-01  6.67E-03  4.28E-01  6.58E-01  4.95E+00  
       8   2.2367150076E+01  1.99E+02  9.82E-01  2.64E-01  4.94E-03  4.08E-01  6.58E-01  5.73E+00  
       9   2.5803271968E+01  2.01E+02  7.50E-01  1.94E-01  3.75E-03  3.93E-01  6.58E-01  6.55E+00  

      10   2.9170501199E+01  2.02E+02  5.84E-01  1.46E-01  2.90E-03  3.80E-01  6.58E-01  7.39E+00  
      20   4.9241903593E+01  2.07E+02  4.33E-02  1.27E-02  2.12E-04  4.46E-01  6.58E-01  1.16E+01  
      30   4.9999933783E+01  2.07E+02  2.65E-04  1.02E-04  1.30E-06  5.86E-01  6.58E-01  1.16E+01  
      40   5.0000000000E+01  2.07E+02  4.50E-08  2.04E-08  2.20E-10  6.87E-01  6.58E-01  1.16E+01  
      48   5.0000000000E+01  2.07E+02  3.97E-13  1.97E-13  1.94E-15  7.55E-01  6.58E-01  1.16E+01  
      49   5.0000000000E+01  2.07E+02  4.05E-14  2.51E-14  1.98E-16  9.39E-01  6.58E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      49
 Exit  MINRES-QLP.       Anorm =  6.5841E-01     Acond  =  1.1664E+01
 Exit  MINRES-QLP.       rnorm =  4.0517E-14     Arnorm =  2.5061E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     49  Relative error in x = 5.7E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.62E+01  3.57E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   8.6633684178E-01  1.15E+02  2.34E+01  1.06E+01  1.83E-01  6.97E-01  5.40E-01  1.00E+00  
       2   1.9625553305E+00  1.51E+02  1.12E+01  4.48E+00  6.80E-02  6.15E-01  6.52E-01  1.70E+00  
       3   3.2758289221E+00  1.69E+02  6.25E+00  2.27E+00  3.55E-02  5.57E-01  6.52E-01  2.25E+00  
       4   4.7909221574E+00  1.80E+02  3.86E+00  1.29E+00  2.11E-02  5.13E-01  6.52E-01  2.85E+00  
       5   6.4904351588E+00  1.86E+02  2.55E+00  7.97E-01  1.36E-02  4.79E-01  6.52E-01  3.51E+00  
       6   8.3550675130E+00  1.91E+02  1.78E+00  5.22E-01  9.34E-03  4.50E-01  6.52E-01  4.21E+00  
       7   1.0363892512E+01  1.94E+02  1.29E+00  3.58E-01  6.70E-03  4.25E-01  6.52E-01  4.96E+00  
       8   1.2494651039E+01  1.96E+02  9.67E-01  2.55E-01  4.98E-03  4.04E-01  6.52E-01  5.75E+00  
       9   1.4724115229E+01  1.98E+02  7.45E-01  1.87E-01  3.82E-03  3.84E-01  6.52E-01  6.59E+00  

      10   1.7028636091E+01  1.99E+02  5.88E-01  1.40E-01  3.00E-03  3.65E-01  6.52E-01  7.49E+00  
      20   4.1554012121E+01  2.06E+02  1.18E-01  2.45E-02  5.88E-04  3.20E-01  6.52E-01  2.28E+01  
      30   4.9996790634E+01  2.07E+02  1.82E-03  6.69E-04  9.04E-06  5.64E-01  6.52E-01  2.36E+01  
      40   5.0000000000E+01  2.07E+02  4.36E-07  1.92E-07  2.17E-09  6.75E-01  6.52E-01  2.36E+01  
      49   5.0000000000E+01  2.07E+02  4.89E-13  2.40E-13  2.43E-15  7.54E-01  6.52E-01  2.39E+01  

      50   5.0000000000E+01  2.07E+02  5.67E-17  2.30E-14  2.82E-19  6.21E+02  6.52E-01  2.36E+01  

 Exit  MINRES-QLP.       istop =  5              itn    =      50
 Exit  MINRES-QLP.       Anorm =  6.5195E-01     Acond  =  2.3632E+01
 Exit  MINRES-QLP.       rnorm =  5.6736E-17     Arnorm =  2.2983E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =     50  Relative error in x = 5.1E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.41E+00   precon   =   F
 itnlim   =      8      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.41E+00  1.12E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2000000000E+00  1.70E+00  4.47E-01  2.83E-01  1.62E-01  6.86E-01  7.91E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  1.11E-16  1.11E-16  3.19E-17  1.08E+00  9.22E-01  1.70E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.2195E-01     Acond  =  1.7000E+00
 Exit  MINRES-QLP.       rnorm =  1.1102E-16     Arnorm =  1.1102E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 5.0E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      2      ||b||    =   1.39E+00   precon   =   F
 itnlim   =      8      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.39E+00  1.09E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.1854359184E+00  1.69E+00  4.44E-01  2.75E-01  1.64E-01  6.77E-01  7.83E-01  1.00E+00  
       2   2.0000000000E+00  2.24E+00  0.00E+00  2.47E-16  0.00E+00  0.00E+00  9.15E-01  1.73E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  9.1479E-01     Acond  =  1.7251E+00
 Exit  MINRES-QLP.       rnorm =  0.0000E+00     Arnorm =  2.4721E-16
 Exit  MINRES-QLP.       xnorm =  2.2361E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      2  Itns =      2  Relative error in x = 2.2E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.70E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7156869083E+00  1.16E+02  2.40E+01  1.10E+01  1.83E-01  6.97E-01  5.45E-01  1.00E+00  
       2   3.8523730865E+00  1.53E+02  1.15E+01  4.64E+00  6.80E-02  6.15E-01  6.58E-01  1.70E+00  
       3   6.3612950999E+00  1.72E+02  6.41E+00  2.35E+00  3.54E-02  5.57E-01  6.58E-01  2.25E+00  
       4   9.1862129329E+00  1.82E+02  3.96E+00  1.34E+00  2.11E-02  5.14E-01  6.58E-01  2.85E+00  
       5   1.2265258670E+01  1.89E+02  2.62E+00  8.25E-01  1.36E-02  4.79E-01  6.58E-01  3.51E+00  
       6   1.5532966561E+01  1.94E+02  1.82E+00  5.40E-01  9.32E-03  4.51E-01  6.58E-01  4.21E+00  
       7   1.8922387753E+01  1.97E+02  1.32E+00  3.71E-01  6.67E-03  4.28E-01  6.58E-01  4.95E+00  
       8   2.2367150076E+01  1.99E+02  9.82E-01  2.64E-01  4.94E-03  4.08E-01  6.58E-01  5.73E+00  
       9   2.5803271968E+01  2.01E+02  7.50E-01  1.94E-01  3.75E-03  3.93E-01  6.58E-01  6.55E+00  

      10   2.9170501199E+01  2.02E+02  5.84E-01  1.46E-01  2.90E-03  3.80E-01  6.58E-01  7.39E+00  
      20   4.9241903593E+01  2.07E+02  4.33E-02  1.27E-02  2.12E-04  4.46E-01  6.58E-01  1.16E+01  
      30   4.9999933783E+01  2.07E+02  2.65E-04  1.02E-04  1.30E-06  5.86E-01  6.58E-01  1.16E+01  
      40   5.0000000000E+01  2.07E+02  4.50E-08  2.04E-08  2.20E-10  6.87E-01  6.58E-01  1.16E+01  
      48   5.0000000000E+01  2.07E+02  3.97E-13  1.97E-13  1.94E-15  7.55E-01  6.58E-01  1.16E+01  
      49   5.0000000000E+01  2.07E+02  4.05E-14  2.51E-14  1.98E-16  9.39E-01  6.58E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      49
 Exit  MINRES-QLP.       Anorm =  6.5841E-01     Acond  =  1.1664E+01
 Exit  MINRES-QLP.       rnorm =  4.0517E-14     Arnorm =  2.5061E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     49  Relative error in x = 5.7E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.62E+01  3.57E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   8.6633684178E-01  1.15E+02  2.34E+01  1.06E+01  1.83E-01  6.97E-01  5.40E-01  1.00E+00  
       2   1.9625553305E+00  1.51E+02  1.12E+01  4.48E+00  6.80E-02  6.15E-01  6.52E-01  1.70E+00  
       3   3.2758289221E+00  1.69E+02  6.25E+00  2.27E+00  3.55E-02  5.57E-01  6.52E-01  2.25E+00  
       4   4.7909221574E+00  1.80E+02  3.86E+00  1.29E+00  2.11E-02  5.13E-01  6.52E-01  2.85E+00  
       5   6.4904351588E+00  1.86E+02  2.55E+00  7.97E-01  1.36E-02  4.79E-01  6.52E-01  3.51E+00  
       6   8.3550675130E+00  1.91E+02  1.78E+00  5.22E-01  9.34E-03  4.50E-01  6.52E-01  4.21E+00  
       7   1.0363892512E+01  1.94E+02  1.29E+00  3.58E-01  6.70E-03  4.25E-01  6.52E-01  4.96E+00  
       8   1.2494651039E+01  1.96E+02  9.67E-01  2.55E-01  4.98E-03  4.04E-01  6.52E-01  5.75E+00  
       9   1.4724115229E+01  1.98E+02  7.45E-01  1.87E-01  3.82E-03  3.84E-01  6.52E-01  6.59E+00  

      10   1.7028636091E+01  1.99E+02  5.88E-01  1.40E-01  3.00E-03  3.65E-01  6.52E-01  7.49E+00  
      20   4.1554012121E+01  2.06E+02  1.18E-01  2.45E-02  5.88E-04  3.20E-01  6.52E-01  2.28E+01  
      30   4.9996790634E+01  2.07E+02  1.82E-03  6.69E-04  9.04E-06  5.64E-01  6.52E-01  2.36E+01  
      40   5.0000000000E+01  2.07E+02  4.36E-07  1.92E-07  2.17E-09  6.75E-01  6.52E-01  2.36E+01  
      49   5.0000000000E+01  2.07E+02  4.89E-13  2.40E-13  2.43E-15  7.54E-01  6.52E-01  2.39E+01  

      50   5.0000000000E+01  2.07E+02  5.67E-17  2.30E-14  2.82E-19  6.21E+02  6.52E-01  2.36E+01  

 Exit  MINRES-QLP.       istop =  5              itn    =      50
 Exit  MINRES-QLP.       Anorm =  6.5195E-01     Acond  =  2.3632E+01
 Exit  MINRES-QLP.       rnorm =  5.6736E-17     Arnorm =  2.2983E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =     50  Relative error in x = 5.1E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.1000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.70E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7156869083E+00  1.16E+02  2.40E+01  1.10E+01  1.83E-01  6.97E-01  5.45E-01  1.00E+00  
       2   3.8523730865E+00  1.53E+02  1.15E+01  4.64E+00  6.80E-02  6.15E-01  6.58E-01  1.70E+00  
       3   6.3612950999E+00  1.72E+02  6.41E+00  2.35E+00  3.54E-02  5.57E-01  6.58E-01  2.25E+00  
       4   9.1862129329E+00  1.82E+02  3.96E+00  1.34E+00  2.11E-02  5.14E-01  6.58E-01  2.85E+00  
       5   1.2265258670E+01  1.89E+02  2.62E+00  8.25E-01  1.36E-02  4.79E-01  6.58E-01  3.51E+00  
       6   1.5532966561E+01  1.94E+02  1.82E+00  5.40E-01  9.32E-03  4.51E-01  6.58E-01  4.21E+00  
       7   1.8922387753E+01  1.97E+02  1.32E+00  3.71E-01  6.67E-03  4.28E-01  6.58E-01  4.95E+00  
       8   2.2367150076E+01  1.99E+02  9.82E-01  2.64E-01  4.94E-03  4.08E-01  6.58E-01  5.73E+00  
       9   2.5803271968E+01  2.01E+02  7.50E-01  1.94E-01  3.75E-03  3.93E-01  6.58E-01  6.55E+00  

      10   2.9170501199E+01  2.02E+02  5.84E-01  1.46E-01  2.90E-03  3.80E-01  6.58E-01  7.39E+00  
      20   4.9241903593E+01  2.07E+02  4.33E-02  1.27E-02  2.12E-04  4.46E-01  6.58E-01  1.16E+01  
      30   4.9999933783E+01  2.07E+02  2.65E-04  1.02E-04  1.30E-06  5.86E-01  6.58E-01  1.16E+01  
      40   5.0000000000E+01  2.07E+02  4.50E-08  2.04E-08  2.20E-10  6.87E-01  6.58E-01  1.16E+01  
      48   5.0000000000E+01  2.07E+02  3.97E-13  1.97E-13  1.94E-15  7.55E-01  6.58E-01  1.16E+01  
      49   5.0000000000E+01  2.07E+02  4.05E-14  2.51E-14  1.98E-16  9.39E-01  6.58E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      49
 Exit  MINRES-QLP.       Anorm =  6.5841E-01     Acond  =  1.1664E+01
 Exit  MINRES-QLP.       rnorm =  4.0517E-14     Arnorm =  2.5061E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     50  Itns =     49  Relative error in x = 5.7E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0100      pertM  =      0.1000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.62E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   1.00000000000000E-02
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.62E+01  3.57E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   8.6633684178E-01  1.15E+02  2.34E+01  1.06E+01  1.83E-01  6.97E-01  5.40E-01  1.00E+00  
       2   1.9625553305E+00  1.51E+02  1.12E+01  4.48E+00  6.80E-02  6.15E-01  6.52E-01  1.70E+00  
       3   3.2758289221E+00  1.69E+02  6.25E+00  2.27E+00  3.55E-02  5.57E-01  6.52E-01  2.25E+00  
       4   4.7909221574E+00  1.80E+02  3.86E+00  1.29E+00  2.11E-02  5.13E-01  6.52E-01  2.85E+00  
       5   6.4904351588E+00  1.86E+02  2.55E+00  7.97E-01  1.36E-02  4.79E-01  6.52E-01  3.51E+00  
       6   8.3550675130E+00  1.91E+02  1.78E+00  5.22E-01  9.34E-03  4.50E-01  6.52E-01  4.21E+00  
       7   1.0363892512E+01  1.94E+02  1.29E+00  3.58E-01  6.70E-03  4.25E-01  6.52E-01  4.96E+00  
       8   1.2494651039E+01  1.96E+02  9.67E-01  2.55E-01  4.98E-03  4.04E-01  6.52E-01  5.75E+00  
       9   1.4724115229E+01  1.98E+02  7.45E-01  1.87E-01  3.82E-03  3.84E-01  6.52E-01  6.59E+00  

      10   1.7028636091E+01  1.99E+02  5.88E-01  1.40E-01  3.00E-03  3.65E-01  6.52E-01  7.49E+00  
      20   4.1554012121E+01  2.06E+02  1.18E-01  2.45E-02  5.88E-04  3.20E-01  6.52E-01  2.28E+01  
      30   4.9996790634E+01  2.07E+02  1.82E-03  6.69E-04  9.04E-06  5.64E-01  6.52E-01  2.36E+01  
      40   5.0000000000E+01  2.07E+02  4.36E-07  1.92E-07  2.17E-09  6.75E-01  6.52E-01  2.36E+01  
      49   5.0000000000E+01  2.07E+02  4.89E-13  2.40E-13  2.43E-15  7.54E-01  6.52E-01  2.39E+01  

      50   5.0000000000E+01  2.07E+02  5.67E-17  2.30E-14  2.82E-19  6.21E+02  6.52E-01  2.36E+01  

 Exit  MINRES-QLP.       istop =  5              itn    =      50
 Exit  MINRES-QLP.       Anorm =  6.5195E-01     Acond  =  2.3632E+01
 Exit  MINRES-QLP.       rnorm =  5.6736E-17     Arnorm =  2.2983E-14
 Exit  MINRES-QLP.       xnorm =  2.0718E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =     50  Relative error in x = 5.1E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   1.80E+00   precon   =   F
 itnlim   =     16      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.80E+00  7.91E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.2000000000E+00  3.97E+00  4.74E-01  1.35E-01  1.34E-01  5.93E-01  4.39E-01  1.00E+00  
       2   4.0000000000E+00  5.00E+00  9.24E-17  2.78E-17  2.20E-17  6.25E-01  4.81E-01  1.85E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  4.8088E-01     Acond  =  1.8500E+00
 Exit  MINRES-QLP.       rnorm =  9.2376E-17     Arnorm =  2.7756E-17
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 8.9E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.3000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   6.32E-01   precon   =   F
 itnlim   =     16      rtol     =   2.22E-16   shift    =   3.00000000000000E-01
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.32E-01  1.20E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -9.6551724138E-01  3.05E+00  2.49E-01  1.31E-02  2.05E-01  2.63E-01  1.90E-01  1.00E+00  
       2   4.0000000000E+00  5.00E+00  3.68E-17  0.00E+00  2.26E-17  0.00E+00  1.99E-01  3.97E+00  

 Exit  MINRES-QLP.       istop =  5              itn    =       2
 Exit  MINRES-QLP.       Anorm =  1.9935E-01     Acond  =  3.9741E+00
 Exit  MINRES-QLP.       rnorm =  3.6799E-17     Arnorm =  0.0000E+00
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 8.9E-17


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.69E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7180943901E+00  1.16E+02  2.39E+01  1.09E+01  1.82E-01  6.95E-01  5.45E-01  1.00E+00  
       2   3.8644538109E+00  1.53E+02  1.14E+01  4.58E+00  6.77E-02  6.11E-01  6.57E-01  1.70E+00  
       3   6.3954779963E+00  1.72E+02  6.36E+00  2.30E+00  3.52E-02  5.50E-01  6.57E-01  2.26E+00  
       4   9.2579303917E+00  1.82E+02  3.91E+00  1.29E+00  2.08E-02  5.04E-01  6.57E-01  2.88E+00  
       5   1.2389816033E+01  1.89E+02  2.57E+00  7.91E-01  1.34E-02  4.68E-01  6.57E-01  3.55E+00  
       6   1.5722893791E+01  1.94E+02  1.78E+00  5.14E-01  9.14E-03  4.38E-01  6.57E-01  4.27E+00  
       7   1.9185796048E+01  1.97E+02  1.29E+00  3.50E-01  6.52E-03  4.14E-01  6.57E-01  5.05E+00  
       8   2.2706980590E+01  1.99E+02  9.55E-01  2.48E-01  4.80E-03  3.95E-01  6.57E-01  5.86E+00  
       9   2.6217158315E+01  2.01E+02  7.27E-01  1.81E-01  3.63E-03  3.79E-01  6.57E-01  6.71E+00  

      10   2.9651001936E+01  2.03E+02  5.63E-01  1.36E-01  2.80E-03  3.66E-01  6.57E-01  7.58E+00  
      20   4.9405101158E+01  2.07E+02  3.75E-02  1.08E-02  1.84E-04  4.38E-01  6.57E-01  1.17E+01  
      30   4.9999971981E+01  2.07E+02  1.69E-04  6.37E-05  8.27E-07  5.75E-01  6.57E-01  1.17E+01  
      40   5.0000000000E+01  2.07E+02  1.47E-08  6.52E-09  7.22E-11  6.74E-01  6.57E-01  1.17E+01  
      47   5.0000000000E+01  2.07E+02  1.60E-13  7.70E-14  7.85E-16  7.33E-01  6.57E-01  1.18E+01  
      48   5.0000000000E+01  2.07E+02  2.43E-17  2.67E-14  1.19E-19  1.67E+03  6.57E-01  1.17E+01  

 Exit  MINRES-QLP.       istop =  5              itn    =      48
 Exit  MINRES-QLP.       Anorm =  6.5701E-01     Acond  =  1.1737E+01
 Exit  MINRES-QLP.       rnorm =  2.4346E-17     Arnorm =  2.6677E-14
 Exit  MINRES-QLP.       xnorm =  2.0717E+02
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given eps.          


  minresqlp appears to be successful.  n =     50  Itns =     48  Relative error in x = 6.9E-16


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =      4      ||b||    =   2.29E+00   precon   =   F
 itnlim   =     16      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.29E+00  7.91E-01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.2000000000E+00  5.04E+00  1.49E+00  1.35E-01  3.70E-01  1.88E-01  3.45E-01  1.00E+00  
       1   4.0000000000E+00  9.85E+00  1.41E+00  4.41E-16  2.01E-01  6.49E-16  4.81E-01  5.75E+00  
       2   4.0000000000E+00  5.00E+00  1.41E+00  3.33E-16  2.01E-01  4.90E-16  4.81E-01  5.75E+00  

 Exit  MINRES-QLP.       istop = 13              itn    =       2
 Exit  MINRES-QLP.       Anorm =  4.8088E-01     Acond  =  5.7537E+00
 Exit  MINRES-QLP.       rnorm =  1.4142E+00     Arnorm =  3.3307E-16
 Exit  MINRES-QLP.       xnorm =  5.0000E+00
 Exit  MINRES-QLP.       Acond has exceeded Acondlim or 0.1/eps.                          


  minresqlp appears to be successful.  n =      4  Itns =      2  Relative error in x = 1.4E-15


-----------------------------------------------------
Test of  MINRESQLP.
-----------------------------------------------------
shift  =      0.0000      pertM  =      0.0000


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     50      ||b||    =   6.78E+01   precon   =   F
 itnlim   =    200      rtol     =   2.22E-16   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+07  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.78E+01  3.69E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.7180943901E+00  1.16E+02  2.40E+01  1.09E+01  1.83E-01  6.94E-01  5.44E-01  1.00E+00  
       2   3.8644538109E+00  1.53E+02  1.15E+01  4.58E+00  6.82E-02  6.06E-01  6.57E-01  1.70E+00  
       3   6.3954779963E+00  1.72E+02  6.51E+00  2.30E+00  3.60E-02  5.37E-01  6.57E-01  2.27E+00  
       4   9.2579303917E+00  1.83E+02  4.16E+00  1.29E+00  2.21E-02  4.74E-01  6.57E-01  2.94E+00  
       5   1.2389816033E+01  1.90E+02  2.94E+00  7.91E-01  1.52E-02  4.10E-01  6.57E-01  3.74E+00  
       6   1.5722893791E+01  1.95E+02  2.28E+00  5.14E-01  1.16E-02  3.43E-01  6.57E-01  4.78E+00  
       7   1.9185796048E+01  2.00E+02  1.91E+00  3.50E-01  9.61E-03  2.79E-01  6.57E-01  6.20E+00  
       8   2.2706980590E+01  2.03E+02  1.71E+00  2.48E-01  8.47E-03  2.21E-01  6.57E-01  8.20E+00  
       9   2.6217158315E+01  2.07E+02  1.59E+00  1.81E-01  7.81E-03  1.73E-01  6.57E-01  1.10E+01  

      10   2.9651001936E+01  2.10E+02  1.52E+00  1.36E-01  7.39E-03  1.36E-01  6.57E-01  1.50E+01  
      20   4.9405101158E+01  2.71E+02  1.41E+00  1.08E-02  5.76E-03  1.16E-02  6.57E-01  1.92E+02  
      30   4.9999971981E+01  3.22E+02  1.41E+00  6.37E-05  5.06E-03  6.86E-05  6.57E-01  1.18E+04  
      39   5.0000000000E+01  3.53E+02  1.41E+00  2.15E-08  4.72E-03  2.31E-08  6.57E-01  1.81E+07 P

      40   5.0000000000E+01  3.56E+02  1.41E+00  8.52E-09  4.68E-03  9.17E-09  6.57E-01  5.29E+07  
      45   5.0000000000E+01  7.78E+06  1.41E+00  1.15E-05  2.77E-07  1.23E-05  6.57E-01  2.01E+11  
      46   5.0000000000E+01  2.07E+02  1.41E+00  1.21E-05  2.77E-07  1.31E-05  6.57E-01  2.01E+11  

 Exit  MINRES-QLP.       istop = 12              itn    =      46
 Exit  MINRES-QLP.       Anorm =  6.5701E-01     Acond  =  2.0123E+11
 Exit  MINRES-QLP.       rnorm =  1.4142E+00     Arnorm =  1.2149E-05
 Exit  MINRES-QLP.       xnorm =  2.0717E+02
 Exit  MINRES-QLP.       xnorm has exceeded maxxnorm or will exceed it next iteration.    


  minresqlp appears to be successful.  n =     50  Itns =     46  Relative error in x = 2.9E-07
  
  MINRESQLP tests on MM CDS examples


---------------------------------------
 Test of MINRESQLP on an MM CDS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   1000      ||b||    =   1.08E+01   precon   =   F
 itnlim   =   3000      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.08E+01  1.08E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -5.7375155079E-06  1.08E+01  5.16E-01  1.60E+00  2.40E-02  9.98E-01  1.00E+00  1.00E+00  
       2  -1.5856141250E-05  1.08E+01  3.59E-01  1.52E-01  8.13E-03  9.56E-02  3.10E+00  3.10E+00  
       3  -6.6665995807E-05  1.08E+01  3.23E-01  3.53E-01  5.52E-03  2.47E-01  4.42E+00  1.18E+01  
       4  -2.5508734707E-04  1.10E+01  2.10E-01  3.43E-01  3.53E-03  3.70E-01  4.42E+00  2.53E+01  
       5  -3.4193153489E-04  1.11E+01  1.68E-01  1.38E-01  2.81E-03  1.85E-01  4.42E+00  1.50E+01  
       6  -4.1286704294E-04  1.11E+01  1.58E-01  9.33E-02  2.63E-03  1.34E-01  4.42E+00  2.53E+01  
       7  -6.7130101719E-04  1.12E+01  1.40E-01  1.62E-01  2.32E-03  2.62E-01  4.42E+00  2.50E+01  
       8  -9.6262996663E-04  1.13E+01  1.24E-01  8.16E-02  2.04E-03  1.49E-01  4.42E+00  2.69E+01  
       9  -1.1926697750E-03  1.14E+01  1.17E-01  6.75E-02  1.92E-03  1.30E-01  4.42E+00  2.50E+01  

      10  -1.5434935431E-03  1.14E+01  1.10E-01  6.68E-02  1.80E-03  1.37E-01  4.42E+00  3.19E+01  
      20  -1.0919906907E-02  1.26E+01  4.52E-02  2.31E-02  6.78E-04  1.16E-01  4.42E+00  5.61E+01  
      30  -2.8794184408E-02  1.35E+01  2.64E-02  8.29E-03  3.75E-04  7.11E-02  4.42E+00  1.01E+02  
      40  -4.6040250594E-02  1.42E+01  1.76E-02  8.12E-03  2.39E-04  1.05E-01  4.42E+00  1.46E+02  
      50  -6.1270662960E-02  1.48E+01  1.26E-02  5.29E-03  1.66E-04  9.48E-02  4.42E+00  2.20E+02  
      60  -7.3118732672E-02  1.54E+01  9.74E-03  3.10E-03  1.24E-04  7.19E-02  4.42E+00  3.06E+02  
      70  -7.9492464518E-02  1.59E+01  7.65E-03  1.75E-03  9.44E-05  5.19E-02  4.42E+00  3.58E+02  
      80  -7.3702138722E-02  1.66E+01  5.70E-03  1.95E-03  6.78E-05  7.72E-02  4.42E+00  5.39E+02  
      90  -5.7411363731E-02  1.72E+01  3.88E-03  1.47E-03  4.46E-05  8.58E-02  4.42E+00  6.29E+02  
     100  -3.3858274214E-02  1.77E+01  2.49E-03  1.01E-03  2.80E-05  9.20E-02  4.42E+00  6.29E+02  
     110  -1.7164422921E-02  1.79E+01  1.73E-03  6.65E-04  1.93E-05  8.70E-02  4.42E+00  6.29E+02  
     120  -4.7136432065E-03  1.80E+01  1.22E-03  3.09E-04  1.36E-05  5.73E-02  4.42E+00  6.29E+02  
     130   8.2758296494E-04  1.80E+01  9.65E-04  2.33E-04  1.07E-05  5.47E-02  4.42E+00  6.29E+02  
     140   3.9586820699E-03  1.81E+01  7.44E-04  2.77E-04  8.21E-06  8.43E-02  4.42E+00  6.29E+02  
     150   4.3815339434E-03  1.81E+01  5.69E-04  2.65E-04  6.27E-06  1.05E-01  4.42E+00  6.29E+02  
     160   3.1440009888E-03  1.81E+01  4.12E-04  1.87E-04  4.53E-06  1.03E-01  4.42E+00  6.29E+02  
     170   1.5486565017E-03  1.81E+01  2.87E-04  1.53E-04  3.16E-06  1.20E-01  4.42E+00  6.29E+02  
     180   7.1457344541E-04  1.81E+01  2.27E-04  7.05E-05  2.49E-06  7.04E-02  4.42E+00  6.29E+02  
     190   1.9663848490E-04  1.82E+01  1.77E-04  8.06E-05  1.94E-06  1.03E-01  4.42E+00  6.29E+02  
     200   9.3189721462E-05  1.82E+01  1.36E-04  4.99E-05  1.50E-06  8.29E-02  4.42E+00  6.29E+02  
     210   2.7287006544E-04  1.82E+01  9.73E-05  3.79E-05  1.07E-06  8.81E-02  4.42E+00  6.29E+02  
     220   5.4938365201E-04  1.82E+01  7.13E-05  2.52E-05  7.83E-07  7.99E-02  4.42E+00  7.45E+02  
     230   7.4470789251E-04  1.82E+01  6.09E-05  1.38E-05  6.70E-07  5.11E-02  4.42E+00  7.45E+02  
     240   9.2884737063E-04  1.82E+01  5.41E-05  1.77E-05  5.95E-07  7.39E-02  4.42E+00  7.45E+02  
     250   1.0713491768E-03  1.82E+01  4.86E-05  1.19E-05  5.34E-07  5.54E-02  4.42E+00  8.80E+02  
     260   1.1196900178E-03  1.82E+01  4.47E-05  7.10E-06  4.91E-07  3.60E-02  4.42E+00  1.11E+03  
     270   1.0751195738E-03  1.82E+01  4.03E-05  9.39E-06  4.43E-07  5.27E-02  4.42E+00  1.64E+03  
     280   9.5257576525E-04  1.82E+01  3.36E-05  6.08E-06  3.69E-07  4.09E-02  4.42E+00  2.23E+03  
     290   8.9809080320E-04  1.82E+01  2.79E-05  7.16E-06  3.07E-07  5.80E-02  4.42E+00  2.25E+03  
     300   9.1524923912E-04  1.82E+01  2.27E-05  3.35E-06  2.50E-07  3.33E-02  4.42E+00  2.25E+03  
     310   9.7536144452E-04  1.82E+01  1.71E-05  3.39E-06  1.88E-07  4.47E-02  4.42E+00  2.25E+03  
     320   1.0204578555E-03  1.82E+01  1.28E-05  5.63E-06  1.41E-07  9.95E-02  4.42E+00  2.25E+03  
     330   1.0389486864E-03  1.82E+01  9.33E-06  2.53E-06  1.02E-07  6.13E-02  4.42E+00  2.25E+03  
     331   1.0390217030E-03  1.82E+01  8.94E-06  4.55E-06  9.82E-08  1.15E-01  4.42E+00  2.24E+03  

 Exit  MINRES-QLP.       istop =  4              itn    =     331
 Exit  MINRES-QLP.       Anorm =  4.4187E+00     Acond  =  2.2395E+03
 Exit  MINRES-QLP.       rnorm =  8.9405E-06     Arnorm =  4.5519E-06
 Exit  MINRES-QLP.       xnorm =  1.8163E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   1000  Itns =    331  test(r) = 9.82E-08  test(Ar) = 1.15E-01


---------------------------------------
 Test of MINRESQLP on an MM CDS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    100      ||b||    =   1.27E+01   precon   =   F
 itnlim   =    300      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.27E+01  3.67E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   7.1292562211E-02  3.99E+00  5.56E+00  1.01E+01  2.29E-01  6.12E-01  2.88E+00  1.00E+00  
       2   5.7313736446E-03  4.36E+00  2.50E+00  2.60E+00  9.75E-02  3.51E-01  2.96E+00  1.63E+00  
       3   6.8977481911E-02  4.97E+00  8.02E-01  3.21E-01  2.92E-02  1.35E-01  2.96E+00  2.90E+00  
       4   4.1250893084E-02  5.25E+00  1.05E-01  5.24E-03  3.69E-03  1.69E-02  2.96E+00  7.55E+00  
       5  -3.0569750064E-01  5.50E+00  5.45E-02  1.45E-03  1.88E-03  8.99E-03  2.96E+00  5.94E+01  
       6  -1.3298730518E-02  5.48E+00  4.58E-02  1.55E-03  1.58E-03  1.14E-02  2.96E+00  1.08E+02  
       7  -6.3791123997E-04  5.81E+00  8.72E-04  3.54E-06  2.91E-05  1.37E-03  2.96E+00  1.01E+02  
       8  -7.5860408174E-02  5.81E+00  4.26E-04  8.13E-05  1.42E-05  6.45E-02  2.96E+00  7.30E+02  
       9  -7.5915601200E-02  5.81E+00  4.25E-04  8.39E-06  1.42E-05  6.62E-03  2.96E+00  1.01E+02  

      10  -6.7911339198E-02  5.81E+00  4.09E-04  2.05E-04  1.36E-05  1.68E-01  2.99E+00  7.36E+02  
      13   1.9388493987E-02  5.82E+00  5.15E-06  1.41E-06  1.71E-07  9.14E-02  2.99E+00  2.67E+04  
      14   3.3280624435E-03  5.82E+00  1.72E-07  2.55E-11  5.72E-09  4.96E-05  2.99E+00  2.77E+04  

 Exit  MINRES-QLP.       istop =  4              itn    =      14
 Exit  MINRES-QLP.       Anorm =  2.9851E+00     Acond  =  2.7726E+04
 Exit  MINRES-QLP.       rnorm =  1.7233E-07     Arnorm =  2.5529E-11
 Exit  MINRES-QLP.       xnorm =  5.8168E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    100  Itns =     14  test(r) = 5.72E-09  test(Ar) = 4.96E-05


---------------------------------------
 Test of MINRESQLP on an MM CDS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   1000      ||b||    =   3.16E+01   precon   =   F
 itnlim   =   3000      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  3.16E+01  1.78E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -1.0113388858E+00  3.20E+01  2.60E+01  6.59E-01  5.25E-01  2.53E-02  5.61E-01  1.00E+00  
       2  -1.0030276858E+01  2.62E+02  2.54E+01  1.68E+01  8.66E-02  2.10E-01  1.00E+00  4.19E+01  
       3  -2.4375149528E+01  6.34E+02  2.45E+01  6.21E+00  1.21E-02  8.06E-02  3.15E+00  1.70E+02  
       4  -2.6527013749E+01  6.89E+02  2.43E+01  3.73E+00  1.11E-02  3.81E-02  3.15E+00  1.32E+02  
       5  -5.7136390211E+01  1.45E+03  2.30E+01  9.02E+00  3.91E-03  9.73E-02  4.03E+00  3.89E+02  
       6  -6.1889708922E+01  1.57E+03  2.28E+01  4.41E+00  3.59E-03  4.61E-02  4.03E+00  1.69E+02  
       7  -7.1305700506E+01  1.80E+03  2.25E+01  1.05E+01  2.97E-03  1.11E-01  4.19E+00  4.05E+02  
       8  -8.4963388330E+01  2.13E+03  2.20E+01  3.58E+00  2.46E-03  3.89E-02  4.19E+00  3.02E+02  
       9  -9.0887726101E+01  2.27E+03  2.18E+01  7.34E+00  2.29E-03  8.03E-02  4.19E+00  4.05E+02  

      10  -1.0137504996E+02  2.52E+03  2.15E+01  5.92E+00  2.04E-03  6.56E-02  4.19E+00  3.02E+02  
      20  -2.8978725737E+02  6.99E+03  1.67E+01  6.42E+00  5.69E-04  9.20E-02  4.19E+00  4.86E+02  
      30  -4.5674699762E+02  1.15E+04  1.16E+01  3.94E+00  2.40E-04  8.13E-02  4.19E+00  5.64E+02  
      40  -5.2064577477E+02  1.41E+04  8.02E+00  3.61E+00  1.36E-04  1.07E-01  4.19E+00  5.64E+02  
      50  -5.2257067146E+02  1.55E+04  5.73E+00  2.42E+00  8.82E-05  1.01E-01  4.19E+00  5.64E+02  
      60  -4.9959190604E+02  1.62E+04  4.62E+00  1.54E+00  6.82E-05  7.94E-02  4.19E+00  5.64E+02  
      70  -4.7313689008E+02  1.66E+04  4.00E+00  1.00E+00  5.76E-05  5.98E-02  4.19E+00  5.64E+02  
      80  -4.4797411334E+02  1.69E+04  3.53E+00  1.31E+00  4.98E-05  8.87E-02  4.19E+00  6.99E+02  
      90  -4.3135091747E+02  1.73E+04  3.13E+00  7.08E-01  4.31E-05  5.40E-02  4.19E+00  7.22E+02  
     100  -4.2969961490E+02  1.77E+04  2.81E+00  4.13E-01  3.79E-05  3.51E-02  4.19E+00  9.92E+02  
     110  -4.3684439812E+02  1.80E+04  2.65E+00  3.19E-01  3.52E-05  2.88E-02  4.19E+00  9.92E+02  
     120  -4.4744511380E+02  1.82E+04  2.53E+00  2.77E-01  3.31E-05  2.61E-02  4.19E+00  1.22E+03  
     130  -4.5625519924E+02  1.85E+04  2.45E+00  2.54E-01  3.16E-05  2.48E-02  4.19E+00  1.51E+03  
     140  -4.6517678024E+02  1.89E+04  2.34E+00  3.33E-01  2.95E-05  3.40E-02  4.19E+00  2.37E+03  
     150  -4.6628182413E+02  1.94E+04  2.25E+00  2.53E-01  2.77E-05  2.68E-02  4.19E+00  3.08E+03  
     160  -4.6186579759E+02  1.98E+04  2.19E+00  2.09E-01  2.64E-05  2.28E-02  4.19E+00  3.08E+03  
     170  -4.5577590961E+02  2.02E+04  2.16E+00  1.89E-01  2.55E-05  2.09E-02  4.19E+00  3.08E+03  
     180  -4.4950268970E+02  2.07E+04  2.12E+00  1.30E-01  2.44E-05  1.46E-02  4.19E+00  3.25E+03  
     190  -4.4627422004E+02  2.13E+04  2.08E+00  2.39E-01  2.32E-05  2.75E-02  4.19E+00  4.42E+03  
     200  -4.4759650440E+02  2.21E+04  2.04E+00  1.50E-01  2.20E-05  1.75E-02  4.19E+00  5.59E+03  
     210  -4.5079208299E+02  2.26E+04  2.02E+00  1.54E-01  2.13E-05  1.82E-02  4.19E+00  5.59E+03  
     220  -4.5380205529E+02  2.29E+04  2.00E+00  7.71E-02  2.09E-05  9.19E-03  4.19E+00  5.59E+03  
     230  -4.5465364533E+02  2.31E+04  2.00E+00  1.55E-02  2.07E-05  1.84E-03  4.19E+00  5.59E+03  
     240  -4.5491868776E+02  2.33E+04  2.00E+00  4.34E-02  2.06E-05  5.18E-03  4.19E+00  7.18E+03  
     250  -4.5476902519E+02  2.34E+04  2.00E+00  1.06E-02  2.04E-05  1.26E-03  4.19E+00  1.34E+04  
     260  -4.5456273180E+02  2.36E+04  2.00E+00  1.36E-02  2.02E-05  1.63E-03  4.19E+00  1.66E+04  
     270  -4.5444523083E+02  2.38E+04  2.00E+00  1.28E-02  2.01E-05  1.53E-03  4.19E+00  2.02E+04  
     280  -4.5439660792E+02  2.40E+04  2.00E+00  7.37E-03  1.99E-05  8.81E-04  4.19E+00  3.04E+04  
     290  -4.5441808311E+02  2.42E+04  2.00E+00  7.51E-03  1.97E-05  8.97E-04  4.19E+00  5.70E+04  
     300  -4.5448111875E+02  2.45E+04  2.00E+00  5.78E-03  1.95E-05  6.91E-04  4.19E+00  6.50E+04  
     310  -4.5453218221E+02  2.47E+04  2.00E+00  2.70E-03  1.94E-05  3.22E-04  4.19E+00  7.68E+04  
     320  -4.5455808621E+02  2.49E+04  2.00E+00  2.85E-03  1.92E-05  3.40E-04  4.19E+00  1.51E+05  
     330  -4.5455254670E+02  2.52E+04  2.00E+00  1.72E-03  1.90E-05  2.05E-04  4.19E+00  1.88E+05  
     340  -4.5453227463E+02  2.54E+04  2.00E+00  1.59E-03  1.88E-05  1.90E-04  4.19E+00  2.04E+05  
     350  -4.5450954842E+02  2.56E+04  2.00E+00  7.51E-04  1.87E-05  8.97E-05  4.19E+00  2.67E+05  
     360  -4.5449227410E+02  2.58E+04  2.00E+00  8.07E-04  1.85E-05  9.64E-05  4.19E+00  3.50E+05  
     370  -4.5448511224E+02  2.60E+04  2.00E+00  3.78E-04  1.83E-05  4.51E-05  4.19E+00  4.70E+05  
     380  -4.5448835745E+02  2.62E+04  2.00E+00  3.69E-04  1.82E-05  4.41E-05  4.19E+00  7.02E+05  
     390  -4.5449431240E+02  2.64E+04  2.00E+00  1.01E-04  1.81E-05  1.20E-05  4.19E+00  9.13E+05  
     400  -4.5449886983E+02  2.65E+04  2.00E+00  5.85E-05  1.80E-05  6.99E-06  4.19E+00  2.49E+06  
     410  -4.5450176542E+02  2.67E+04  2.00E+00  4.19E-05  1.79E-05  5.00E-06  4.19E+00  3.93E+06  
     420  -4.5450310394E+02  2.68E+04  2.00E+00  2.22E-05  1.78E-05  2.66E-06  4.19E+00  5.62E+06  
     428  -4.5450352894E+02  2.69E+04  2.00E+00  1.81E-05  1.77E-05  2.16E-06  4.19E+00  1.09E+07  
     430  -4.5450356641E+02  2.69E+04  2.00E+00  1.66E-05  1.77E-05  1.98E-06  4.19E+00  1.09E+07  
     440  -4.5450367286E+02  2.71E+04  2.00E+00  9.21E-06  1.76E-05  1.10E-06  4.19E+00  1.91E+07  
     450  -4.5450357042E+02  2.73E+04  2.00E+00  6.65E-06  1.75E-05  7.94E-07  4.19E+00  3.45E+07  
     460  -4.5450343209E+02  2.75E+04  2.00E+00  4.54E-06  1.74E-05  5.43E-07  4.19E+00  6.08E+07  
     470  -4.5450332115E+02  2.77E+04  2.00E+00  5.37E-06  1.72E-05  6.41E-07  4.19E+00  8.18E+07  
     480  -4.5450327368E+02  2.79E+04  2.00E+00  2.35E-06  1.71E-05  2.81E-07  4.19E+00  8.85E+07  
     480  -4.5450327248E+02  2.80E+04  2.00E+00  8.11E-07  1.71E-05  9.68E-08  4.19E+00  8.78E+07  
     481  -4.5450327223E+02  2.80E+04  2.00E+00  1.69E-06  1.71E-05  2.01E-07  4.19E+00  8.78E+07  

 Exit  MINRES-QLP.       istop =  6              itn    =     481
 Exit  MINRES-QLP.       Anorm =  4.1866E+00     Acond  =  8.7844E+07
 Exit  MINRES-QLP.       rnorm =  2.0000E+00     Arnorm =  1.6850E-06
 Exit  MINRES-QLP.       xnorm =  2.7959E+04
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =   1000  Itns =    481  test(r) = 1.71E-05  test(Ar) = 2.01E-07


---------------------------------------
 Test of MINRESQLP on an MM CDS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    100      ||b||    =   1.00E+01   precon   =   F
 itnlim   =    300      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.00E+01  2.44E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.5876385517E-01  3.59E+00  4.87E+00  3.49E+00  2.60E-01  2.44E-01  2.44E+00  1.00E+00  
       2   1.2086782868E+00  7.28E+00  3.83E+00  1.57E-01  1.22E-01  1.40E-02  2.94E+00  4.55E+00  
       3   4.0376114374E+00  1.89E+01  3.79E+00  1.34E-01  5.77E-02  1.20E-02  2.94E+00  7.32E+01  
       4  -3.1166304839E+01  1.27E+02  5.11E-01  6.79E-04  1.33E-03  4.52E-04  2.94E+00  1.08E+02  
       5   1.1154340942E+02  3.97E+02  3.04E-02  3.02E-07  2.58E-05  3.38E-06  2.94E+00  2.23E+03  
       6   1.0366626584E+03  3.05E+03  6.03E-03  4.68E-03  6.71E-07  2.64E-01  2.94E+00  2.97E+05  
       7   1.0392144549E+03  3.06E+03  5.83E-03  1.38E-04  6.46E-07  8.07E-03  2.94E+00  1.56E+04  
       8   1.0392209200E+03  3.06E+03  5.83E-03  4.22E-07  6.46E-07  2.46E-05  2.94E+00  2.97E+05  
       9   1.0393917237E+03  3.06E+03  5.83E-03  4.60E-05  6.46E-07  2.68E-03  2.94E+00  4.85E+04  

      10   1.0396780933E+03  3.06E+03  5.83E-03  3.44E-05  6.46E-07  2.01E-03  2.94E+00  2.97E+05  
      11   3.4773025695E+03  1.13E+04  2.84E-04  2.89E-06  8.53E-09  3.46E-03  2.94E+00  5.79E+06  

 Exit  MINRES-QLP.       istop =  4              itn    =      11
 Exit  MINRES-QLP.       Anorm =  2.9419E+00     Acond  =  5.7899E+06
 Exit  MINRES-QLP.       rnorm =  2.8405E-04     Arnorm =  2.8912E-06
 Exit  MINRES-QLP.       xnorm =  1.1311E+04
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    100  Itns =     11  test(r) = 8.53E-09  test(Ar) = 3.46E-03
  
  MINRESQLP tests on MM CPS examples


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     25      ||b||    =   1.96E+01   precon   =   F
 itnlim   =     75      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.96E+01  1.40E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   8.8568787666E-02  2.71E+00  2.56E+00  1.15E+01  6.57E-02  6.14E-01  7.16E+00  1.00E+00  
       2   5.7651386300E-02  2.86E+00  1.21E+00  2.94E+00  2.99E-02  3.32E-01  7.32E+00  1.66E+00  
       3   5.9028749125E-02  2.86E+00  1.21E+00  2.85E+00  2.98E-02  3.22E-01  7.32E+00  3.04E+00  
       4   1.4724734530E-01  2.93E+00  2.28E-01  3.92E-01  5.57E-03  2.35E-01  7.32E+00  3.33E+00  
       5   1.3907985707E-01  2.93E+00  1.68E-01  2.28E-01  4.10E-03  1.85E-01  7.32E+00  4.29E+00  
       6   1.1591054817E-01  2.93E+00  9.99E-02  1.04E-01  2.43E-03  1.43E-01  7.32E+00  5.12E+00  
       7   1.3705778341E-01  2.94E+00  5.47E-02  4.24E-02  1.33E-03  1.06E-01  7.32E+00  7.14E+00  
       8   1.5927362777E-01  2.94E+00  4.57E-03  2.45E-03  1.11E-04  7.33E-02  7.32E+00  9.78E+00  
       9   1.6000000000E-01  2.94E+00  6.95E-11  5.19E-10  1.69E-12  1.02E+00  7.32E+00  1.36E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =       9
 Exit  MINRES-QLP.       Anorm =  7.3182E+00     Acond  =  1.3650E+01
 Exit  MINRES-QLP.       rnorm =  6.9473E-11     Arnorm =  5.1852E-10
 Exit  MINRES-QLP.       xnorm =  2.9380E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     25  Itns =      9  test(r) = 1.69E-12  test(Ar) = 1.02E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     72      ||b||    =   1.55E+01   precon   =   F
 itnlim   =    216      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.55E+01  5.04E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2708258157E-02  4.72E+00  1.81E+00  4.34E+00  5.86E-02  7.24E-01  3.26E+00  1.00E+00  
       2   1.3911157553E-02  4.86E+00  1.20E+00  1.85E+00  3.81E-02  4.62E-01  3.32E+00  1.40E+00  
       3   1.4500784755E-02  4.86E+00  7.86E-01  1.67E+00  2.49E-02  6.41E-01  3.32E+00  2.10E+00  
       4   1.3852406481E-02  4.91E+00  2.94E-01  5.29E-01  9.26E-03  5.43E-01  3.32E+00  1.92E+00  
       5   1.3843797487E-02  4.92E+00  2.06E-01  1.95E-01  6.47E-03  2.86E-01  3.32E+00  2.10E+00  
       6   1.2927567301E-02  4.92E+00  1.94E-01  1.98E-01  6.11E-03  3.08E-01  3.32E+00  3.25E+00  
       7   1.2929995303E-02  4.92E+00  1.45E-01  1.47E-01  4.57E-03  3.04E-01  3.32E+00  2.53E+00  
       8   1.3716090818E-02  4.92E+00  1.31E-01  8.40E-02  4.10E-03  1.94E-01  3.32E+00  4.28E+00  
       9   1.3233686054E-02  4.92E+00  1.28E-01  1.05E-01  4.01E-03  2.48E-01  3.32E+00  4.12E+00  

      10   1.2497493646E-02  4.93E+00  9.86E-02  9.18E-02  3.10E-03  2.81E-01  3.32E+00  4.28E+00  
      20   9.2432328489E-03  4.94E+00  2.94E-02  1.40E-02  9.23E-04  1.44E-01  3.32E+00  6.75E+00  
      30  -1.9915752615E-03  4.94E+00  1.21E-02  5.24E-03  3.79E-04  1.31E-01  3.32E+00  7.61E+00  
      40   9.3957412377E-03  4.95E+00  6.54E-03  1.71E-03  2.05E-04  7.90E-02  3.32E+00  1.37E+01  
      50   1.5703393952E-02  4.95E+00  2.93E-03  6.94E-04  9.18E-05  7.15E-02  3.32E+00  2.56E+01  
      60   1.0724898727E-02  4.95E+00  6.33E-04  3.68E-04  1.98E-05  1.75E-01  3.32E+00  4.01E+01  
      65   1.3885780119E-02  4.95E+00  1.83E-05  2.56E-05  5.75E-07  4.21E-01  3.32E+00  7.60E+01  
      66   1.3888888417E-02  4.95E+00  2.16E-07  7.03E-07  6.78E-09  9.80E-01  3.32E+00  5.44E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      66
 Exit  MINRES-QLP.       Anorm =  3.3153E+00     Acond  =  5.4379E+01
 Exit  MINRES-QLP.       rnorm =  2.1638E-07     Arnorm =  7.0299E-07
 Exit  MINRES-QLP.       xnorm =  4.9499E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     72  Itns =     66  test(r) = 6.78E-09  test(Ar) = 9.80E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     84      ||b||    =   1.92E+01   precon   =   F
 itnlim   =    252      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.92E+01  7.47E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.9531300954E-01  4.61E+00  6.67E+00  2.01E+01  1.79E-01  7.67E-01  3.90E+00  1.00E+00  
       2   3.0097265013E-01  4.85E+00  2.46E+00  5.27E+00  6.44E-02  5.43E-01  3.94E+00  1.30E+00  
       3   3.0752776501E-01  4.92E+00  1.94E+00  3.83E+00  5.04E-02  5.02E-01  3.94E+00  1.81E+00  
       4   2.4735631896E-01  4.99E+00  1.28E+00  2.52E+00  3.30E-02  5.01E-01  3.94E+00  1.79E+00  
       5   2.3207130358E-01  5.01E+00  1.12E+00  1.85E+00  2.89E-02  4.19E-01  3.94E+00  1.89E+00  
       6   1.8917543329E-01  5.04E+00  8.67E-01  9.65E-01  2.22E-02  2.83E-01  3.94E+00  2.22E+00  
       7   1.7976090546E-01  5.05E+00  8.41E-01  9.46E-01  2.15E-02  2.86E-01  3.94E+00  3.31E+00  
       8   1.5903334361E-01  5.08E+00  6.77E-01  7.93E-01  1.73E-02  2.98E-01  3.94E+00  2.68E+00  
       9   1.5961050108E-01  5.08E+00  6.75E-01  8.05E-01  1.72E-02  3.03E-01  3.94E+00  3.31E+00  

      10   1.3877529191E-01  5.12E+00  5.28E-01  7.11E-01  1.34E-02  3.42E-01  3.94E+00  2.93E+00  
      20  -2.7296584028E-02  5.25E+00  1.60E-01  2.11E-01  4.02E-03  3.35E-01  3.94E+00  3.93E+00  
      30  -3.5243969351E-03  5.28E+00  5.88E-02  3.00E-02  1.47E-03  1.30E-01  3.94E+00  4.13E+00  
      40   1.6041452483E-02  5.29E+00  3.48E-02  2.87E-02  8.71E-04  2.09E-01  3.94E+00  1.37E+01  
      50   2.9997439468E-02  5.30E+00  1.04E-02  4.32E-03  2.61E-04  1.05E-01  3.94E+00  1.64E+01  
      58   1.1904898115E-02  5.31E+00  7.47E-06  2.48E-05  1.87E-07  8.44E-01  3.94E+00  2.83E+01  
      59   1.1904762707E-02  5.31E+00  1.49E-07  4.63E-07  3.73E-09  7.88E-01  3.94E+00  7.94E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      59
 Exit  MINRES-QLP.       Anorm =  3.9360E+00     Acond  =  7.9352E+01
 Exit  MINRES-QLP.       rnorm =  1.4926E-07     Arnorm =  4.6325E-07
 Exit  MINRES-QLP.       xnorm =  5.3059E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     84  Itns =     59  test(r) = 3.73E-09  test(Ar) = 7.88E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     66      ||b||    =   3.17E+01   precon   =   F
 itnlim   =    198      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  3.17E+01  2.14E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.3680414209E-02  4.70E+00  1.43E+00  8.20E+00  2.26E-02  8.48E-01  6.74E+00  1.00E+00  
       2   9.2937946178E-03  4.72E+00  4.54E-01  1.04E+00  7.13E-03  3.40E-01  6.76E+00  1.18E+00  
       3   1.6381755917E-02  4.73E+00  3.86E-01  5.70E-01  6.06E-03  2.18E-01  6.76E+00  3.06E+00  
       4   4.0629118550E-02  4.73E+00  2.04E-01  2.79E-01  3.20E-03  2.03E-01  6.76E+00  4.77E+00  
       5   2.2565200519E-02  4.73E+00  1.91E-01  1.61E-01  3.00E-03  1.25E-01  6.76E+00  4.66E+00  
       6   4.7372736537E-02  4.73E+00  1.78E-01  2.14E-01  2.79E-03  1.78E-01  6.76E+00  7.31E+00  
       7   3.2361286096E-02  4.74E+00  8.34E-02  1.35E-01  1.31E-03  2.40E-01  6.76E+00  7.13E+00  
       8   3.4885336396E-02  4.74E+00  8.21E-02  1.61E-01  1.29E-03  2.89E-01  6.76E+00  7.31E+00  
       9   4.3020904984E-02  4.74E+00  3.79E-02  2.84E-02  5.94E-04  1.11E-01  6.76E+00  7.13E+00  

      10   4.6154129407E-02  4.74E+00  3.47E-02  1.56E-02  5.43E-04  6.66E-02  6.76E+00  9.59E+00  
      12   4.3729152671E-02  4.74E+00  1.09E-02  1.73E-03  1.72E-04  2.34E-02  6.76E+00  2.20E+01  
      13   1.5151512959E-02  4.74E+00  1.89E-07  1.30E-06  2.96E-09  1.02E+00  6.76E+00  8.83E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      13
 Exit  MINRES-QLP.       Anorm =  6.7640E+00     Acond  =  8.8325E+01
 Exit  MINRES-QLP.       rnorm =  1.8908E-07     Arnorm =  1.3003E-06
 Exit  MINRES-QLP.       xnorm =  4.7437E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     66  Itns =     13  test(r) = 2.96E-09  test(Ar) = 1.02E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    112      ||b||    =   1.69E+01   precon   =   F
 itnlim   =    336      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.69E+01  4.94E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   4.5919963796E-01  5.19E+00  7.25E+00  1.68E+01  2.26E-01  7.80E-01  2.93E+00  1.00E+00  
       2   3.5373940454E-01  5.67E+00  2.35E+00  3.95E+00  6.98E-02  5.66E-01  2.97E+00  1.28E+00  
       3   3.6150612189E-01  5.68E+00  2.28E+00  3.78E+00  6.76E-02  5.58E-01  2.97E+00  1.74E+00  
       4   1.9376759810E-01  5.86E+00  1.18E+00  1.95E+00  3.43E-02  5.58E-01  2.97E+00  1.61E+00  
       5   2.2646358064E-01  5.91E+00  9.56E-01  1.76E+00  2.78E-02  6.22E-01  2.97E+00  1.87E+00  
       6   2.0078603277E-01  5.98E+00  4.12E-01  5.49E-01  1.19E-02  4.49E-01  2.97E+00  1.68E+00  
       7   1.8340887427E-01  5.99E+00  3.89E-01  4.82E-01  1.12E-02  4.17E-01  2.97E+00  2.32E+00  
       8   1.8665580147E-01  6.00E+00  3.19E-01  2.45E-01  9.20E-03  2.59E-01  2.97E+00  1.68E+00  
       9   1.7858427226E-01  6.00E+00  3.05E-01  2.46E-01  8.79E-03  2.71E-01  2.97E+00  3.87E+00  

      10   1.7981635688E-01  6.00E+00  2.81E-01  1.90E-01  8.10E-03  2.27E-01  2.97E+00  2.08E+00  
      19   1.8055532372E-01  6.08E+00  3.22E-03  1.98E-03  9.21E-05  2.08E-01  2.97E+00  6.50E+00  

      20   1.7987351191E-01  6.08E+00  7.83E-12  2.35E-11  2.24E-13  1.01E+00  2.97E+00  9.02E+00  

 Exit  MINRES-QLP.       istop =  4              itn    =      20
 Exit  MINRES-QLP.       Anorm =  2.9693E+00     Acond  =  9.0221E+00
 Exit  MINRES-QLP.       rnorm =  7.8317E-12     Arnorm =  2.3488E-11
 Exit  MINRES-QLP.       xnorm =  6.0806E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    112  Itns =     20  test(r) = 2.24E-13  test(Ar) = 1.01E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     61      ||b||    =   3.65E+01   precon   =   F
 itnlim   =    183      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  3.65E+01  3.90E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.5245038885E-01  3.40E+00  4.60E+00  2.22E+01  6.33E-02  4.47E-01  1.07E+01  1.00E+00  
       2   1.7892299981E-01  3.49E+00  4.05E+00  8.42E+00  5.45E-02  1.92E-01  1.08E+01  2.25E+00  
       3   1.3922158766E-01  3.48E+00  3.32E+00  1.38E+01  4.48E-02  3.83E-01  1.08E+01  5.58E+00  
       4   1.3955677299E-01  3.72E+00  2.18E+00  7.03E+00  2.83E-02  2.99E-01  1.08E+01  3.75E+00  
       5   1.2781085242E-01  3.73E+00  2.07E+00  3.81E+00  2.69E-02  1.70E-01  1.08E+01  5.58E+00  
       6   1.6720278898E-01  3.93E+00  1.66E+00  5.32E+00  2.10E-02  2.97E-01  1.08E+01  7.10E+00  
       7   2.1638714292E-01  4.19E+00  9.26E-01  2.61E+00  1.13E-02  2.61E-01  1.08E+01  5.58E+00  
       8   1.9777064597E-01  4.21E+00  8.36E-01  1.66E+00  1.02E-02  1.84E-01  1.08E+01  7.10E+00  
       9   2.1072339198E-01  4.29E+00  5.86E-01  2.04E+00  7.07E-03  3.23E-01  1.08E+01  5.70E+00  

      10   2.0693443732E-01  4.33E+00  3.88E-01  7.83E-01  4.66E-03  1.87E-01  1.08E+01  7.10E+00  
      20   2.5140431557E-01  4.39E+00  1.01E-01  1.26E-01  1.21E-03  1.15E-01  1.08E+01  9.59E+00  
      30   2.4636690729E-01  4.40E+00  5.23E-02  2.35E-02  6.22E-04  4.16E-02  1.08E+01  4.17E+01  
      40   2.4583099850E-01  4.42E+00  1.80E-02  1.53E-02  2.13E-04  7.85E-02  1.08E+01  6.14E+01  
      50   2.4596525320E-01  4.43E+00  7.09E-03  1.33E-02  8.40E-05  1.73E-01  1.08E+01  6.14E+01  
      60   2.4590730561E-01  4.44E+00  1.93E-04  7.12E-04  2.28E-06  3.42E-01  1.08E+01  6.14E+01  
      66   2.4590121473E-01  4.44E+00  1.11E-05  1.69E-05  1.31E-07  1.41E-01  1.08E+01  6.14E+01  
      67   2.4590167231E-01  4.44E+00  7.85E-07  2.37E-06  9.29E-09  2.79E-01  1.08E+01  9.08E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      67
 Exit  MINRES-QLP.       Anorm =  1.0808E+01     Acond  =  9.0794E+01
 Exit  MINRES-QLP.       rnorm =  7.8503E-07     Arnorm =  2.3686E-06
 Exit  MINRES-QLP.       xnorm =  4.4363E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     61  Itns =     67  test(r) = 9.29E-09  test(Ar) = 2.79E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    162      ||b||    =   5.01E+01   precon   =   F
 itnlim   =    486      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  5.01E+01  3.80E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.2669951571E-02  6.58E+00  6.00E+00  2.45E+01  6.00E-02  5.32E-01  7.57E+00  1.00E+00  
       2   1.4407291177E-02  6.90E+00  3.36E+00  9.78E+00  3.26E-02  3.79E-01  7.69E+00  1.90E+00  
       3   1.5243473261E-02  6.99E+00  3.19E+00  6.45E+00  3.07E-02  2.63E-01  7.69E+00  2.95E+00  
       4   1.9302424054E-02  6.96E+00  2.56E+00  8.97E+00  2.47E-02  4.55E-01  7.69E+00  3.32E+00  
       5   9.2098043749E-03  7.10E+00  1.56E+00  3.85E+00  1.49E-02  3.21E-01  7.69E+00  2.95E+00  
       6   8.8764079201E-03  7.18E+00  1.27E+00  2.47E+00  1.21E-02  2.52E-01  7.69E+00  3.81E+00  
       7   8.1909373344E-03  7.18E+00  1.27E+00  2.55E+00  1.21E-02  2.61E-01  7.69E+00  3.82E+00  
       8   1.8268714710E-03  7.25E+00  8.86E-01  2.83E+00  8.36E-03  4.16E-01  7.69E+00  3.81E+00  
       9   1.5773690910E-02  7.31E+00  6.38E-01  1.09E+00  6.00E-03  2.22E-01  7.69E+00  4.00E+00  

      10   1.1410172932E-02  7.31E+00  6.22E-01  1.57E+00  5.85E-03  3.28E-01  7.69E+00  4.17E+00  
      20   1.9834737714E-02  7.36E+00  1.37E-01  2.51E-01  1.29E-03  2.37E-01  7.69E+00  5.20E+00  
      30   3.0854797532E-02  7.37E+00  7.11E-02  5.02E-02  6.66E-04  9.18E-02  7.69E+00  1.12E+01  
      40   2.7028579201E-02  7.37E+00  4.76E-02  4.51E-02  4.45E-04  1.23E-01  7.69E+00  1.12E+01  
      50   1.6829214237E-02  7.37E+00  3.44E-02  2.90E-02  3.22E-04  1.10E-01  7.69E+00  1.13E+01  
      60   1.6541770941E-02  7.38E+00  2.17E-02  2.03E-02  2.03E-04  1.22E-01  7.69E+00  1.44E+01  
      70   1.9201993655E-02  7.38E+00  1.66E-02  9.45E-03  1.55E-04  7.42E-02  7.69E+00  1.59E+01  
      80   2.7382065555E-02  7.38E+00  1.07E-02  1.10E-02  1.00E-04  1.33E-01  7.69E+00  1.59E+01  
      90   3.1128904103E-02  7.38E+00  6.67E-03  5.02E-03  6.24E-05  9.78E-02  7.69E+00  1.67E+01  
     100   3.3401276026E-02  7.38E+00  3.27E-03  4.04E-03  3.06E-05  1.61E-01  7.69E+00  1.84E+01  
     110   3.4439898199E-02  7.38E+00  1.66E-03  1.48E-03  1.55E-05  1.16E-01  7.69E+00  1.84E+01  
     120   3.4643513555E-02  7.38E+00  1.16E-03  4.91E-04  1.09E-05  5.50E-02  7.69E+00  1.84E+01  
     130   3.4165727206E-02  7.38E+00  6.55E-04  3.89E-04  6.12E-06  7.73E-02  7.69E+00  2.66E+01  
     140   3.3855263351E-02  7.38E+00  2.00E-04  1.58E-04  1.87E-06  1.02E-01  7.69E+00  2.66E+01  
     150   3.3800480099E-02  7.38E+00  1.14E-04  9.20E-05  1.07E-06  1.05E-01  7.69E+00  2.66E+01  
     160   3.3770213219E-02  7.38E+00  5.75E-05  2.50E-05  5.38E-07  5.66E-02  7.69E+00  2.66E+01  
     170   3.3771387078E-02  7.38E+00  3.75E-05  2.00E-05  3.51E-07  6.94E-02  7.69E+00  2.66E+01  
     180   3.3778746594E-02  7.38E+00  2.03E-05  1.41E-05  1.90E-07  9.06E-02  7.69E+00  2.66E+01  
     187   3.3782732201E-02  7.38E+00  1.10E-05  7.04E-06  1.03E-07  8.32E-02  7.69E+00  2.40E+01  
     188   3.3782727371E-02  7.38E+00  1.03E-05  9.58E-06  9.65E-08  1.21E-01  7.69E+00  2.66E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =     188
 Exit  MINRES-QLP.       Anorm =  7.6888E+00     Acond  =  2.6598E+01
 Exit  MINRES-QLP.       rnorm =  1.0314E-05     Arnorm =  9.5761E-06
 Exit  MINRES-QLP.       xnorm =  7.3786E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    162  Itns =    188  test(r) = 9.65E-08  test(Ar) = 1.21E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    144      ||b||    =   5.40E+01   precon   =   F
 itnlim   =    432      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  5.40E+01  5.30E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.4360088171E-01  5.47E+00  4.80E+00  1.27E+01  4.45E-02  2.68E-01  9.82E+00  1.00E+00  
       2   3.8612681293E-01  5.46E+00  4.52E+00  1.95E+01  4.19E-02  4.39E-01  9.86E+00  3.74E+00  
       3   4.0368189436E-01  5.70E+00  2.53E+00  8.46E+00  2.29E-02  3.39E-01  9.86E+00  3.81E+00  
       4   3.9794188215E-01  5.71E+00  2.29E+00  2.96E+00  2.08E-02  1.31E-01  9.86E+00  3.74E+00  
       5   3.6625851006E-01  5.79E+00  2.15E+00  6.26E+00  1.94E-02  2.95E-01  9.86E+00  7.76E+00  
       6   2.0906951797E-01  6.31E+00  1.34E+00  5.53E+00  1.15E-02  4.19E-01  9.86E+00  9.67E+00  
       7   1.2634209360E-01  6.58E+00  7.41E-01  2.84E+00  6.24E-03  3.88E-01  9.86E+00  7.76E+00  
       8   1.0528565157E-01  6.61E+00  6.21E-01  1.28E+00  5.22E-03  2.09E-01  9.86E+00  9.67E+00  
       9   1.1980295987E-01  6.63E+00  5.71E-01  2.11E+00  4.78E-03  3.75E-01  9.86E+00  7.76E+00  

      10   1.4818841928E-01  6.70E+00  2.94E-01  1.33E+00  2.45E-03  4.60E-01  9.86E+00  9.67E+00  
      20   1.6354227527E-01  6.73E+00  2.46E-02  3.18E-02  2.04E-04  1.31E-01  9.86E+00  9.67E+00  
      30   1.6397721184E-01  6.73E+00  1.80E-03  2.96E-03  1.49E-05  1.67E-01  9.86E+00  1.26E+01  
      40   1.6394791592E-01  6.73E+00  1.46E-04  1.75E-04  1.21E-06  1.22E-01  9.86E+00  1.26E+01  
      48   1.6395249944E-01  6.73E+00  1.58E-05  4.41E-05  1.31E-07  2.83E-01  9.86E+00  1.26E+01  
      49   1.6395280031E-01  6.73E+00  5.78E-06  4.84E-06  4.80E-08  8.49E-02  9.86E+00  1.26E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      49
 Exit  MINRES-QLP.       Anorm =  9.8587E+00     Acond  =  1.2562E+01
 Exit  MINRES-QLP.       rnorm =  5.7796E-06     Arnorm =  4.8359E-06
 Exit  MINRES-QLP.       xnorm =  6.7316E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    144  Itns =     49  test(r) = 4.80E-08  test(Ar) = 8.49E-02


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    187      ||b||    =   6.09E+01   precon   =   F
 itnlim   =    561      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  6.09E+01  4.92E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0936139957E-01  7.51E+00  6.45E+00  3.68E+01  5.30E-02  6.96E-01  8.07E+00  1.00E+00  
       2   7.5210147729E-02  7.76E+00  2.51E+00  7.67E+00  2.02E-02  3.72E-01  8.20E+00  1.46E+00  
       3   8.1405758525E-02  7.78E+00  2.45E+00  6.36E+00  1.97E-02  3.16E-01  8.20E+00  2.75E+00  
       4   7.5772598159E-02  7.80E+00  1.50E+00  3.97E+00  1.20E-02  3.24E-01  8.20E+00  3.07E+00  
       5   1.0933747484E-01  7.84E+00  1.05E+00  3.55E+00  8.36E-03  4.14E-01  8.20E+00  3.19E+00  
       6   1.0974106417E-01  7.87E+00  8.89E-01  1.40E+00  7.09E-03  1.93E-01  8.20E+00  3.95E+00  
       7   1.3164159048E-01  7.87E+00  7.85E-01  2.45E+00  6.25E-03  3.81E-01  8.20E+00  4.49E+00  
       8   1.4258631677E-01  7.88E+00  5.84E-01  1.01E+00  4.65E-03  2.10E-01  8.20E+00  3.95E+00  
       9   1.4244403331E-01  7.88E+00  5.75E-01  1.24E+00  4.58E-03  2.63E-01  8.20E+00  4.95E+00  

      10   1.2559313582E-01  7.90E+00  3.80E-01  1.28E+00  3.02E-03  4.12E-01  8.20E+00  5.94E+00  
      20   9.9490866891E-02  7.92E+00  9.10E-02  1.17E-01  7.23E-04  1.57E-01  8.20E+00  5.94E+00  
      30   1.0191051465E-01  7.92E+00  3.92E-02  3.75E-02  3.11E-04  1.17E-01  8.20E+00  8.49E+00  
      40   9.6518812539E-02  7.92E+00  2.28E-02  2.91E-02  1.81E-04  1.55E-01  8.20E+00  9.04E+00  
      50   9.4584486395E-02  7.92E+00  1.49E-02  1.43E-02  1.18E-04  1.17E-01  8.20E+00  1.09E+01  
      60   9.1788421785E-02  7.92E+00  9.49E-03  1.22E-02  7.54E-05  1.57E-01  8.20E+00  1.29E+01  
      70   8.9947414590E-02  7.92E+00  6.65E-03  3.76E-03  5.28E-05  6.89E-02  8.20E+00  1.29E+01  
      80   8.8594516772E-02  7.92E+00  4.95E-03  3.29E-03  3.93E-05  8.11E-02  8.20E+00  1.33E+01  
      90   8.7619340687E-02  7.92E+00  4.00E-03  2.89E-03  3.18E-05  8.81E-02  8.20E+00  1.67E+01  
     100   8.7772241607E-02  7.92E+00  3.42E-03  1.36E-03  2.72E-05  4.83E-02  8.20E+00  2.37E+01  
     110   8.7741718944E-02  7.92E+00  3.06E-03  1.80E-03  2.43E-05  7.15E-02  8.20E+00  2.45E+01  
     120   8.7991470611E-02  7.92E+00  2.83E-03  2.14E-03  2.25E-05  9.21E-02  8.20E+00  2.65E+01  
     130   8.8253980836E-02  7.92E+00  2.60E-03  8.38E-04  2.07E-05  3.93E-02  8.20E+00  3.38E+01  
     140   8.9009062795E-02  7.92E+00  2.13E-03  8.06E-04  1.69E-05  4.61E-02  8.20E+00  4.98E+01  
     150   8.9446678858E-02  7.92E+00  1.87E-03  8.55E-04  1.49E-05  5.57E-02  8.20E+00  4.98E+01  
     160   8.9707410173E-02  7.92E+00  1.67E-03  5.93E-04  1.33E-05  4.33E-02  8.20E+00  4.98E+01  
     170   8.9872459430E-02  7.92E+00  1.52E-03  9.33E-04  1.20E-05  7.51E-02  8.20E+00  4.98E+01  
     180   8.9994594924E-02  7.92E+00  1.32E-03  6.94E-04  1.05E-05  6.43E-02  8.20E+00  4.98E+01  
     190   9.0531508495E-02  7.92E+00  1.14E-03  5.91E-04  9.09E-06  6.30E-02  8.20E+00  4.98E+01  
     200   9.0725861655E-02  7.92E+00  9.88E-04  5.29E-04  7.85E-06  6.53E-02  8.20E+00  4.98E+01  
     210   9.0844229424E-02  7.92E+00  8.73E-04  4.74E-04  6.94E-06  6.61E-02  8.20E+00  4.98E+01  
     220   9.1028175928E-02  7.92E+00  6.89E-04  2.66E-04  5.47E-06  4.70E-02  8.20E+00  4.98E+01  
     230   9.0970977257E-02  7.92E+00  6.18E-04  1.31E-04  4.91E-06  2.59E-02  8.20E+00  4.98E+01  
     240   9.0972269890E-02  7.92E+00  5.81E-04  1.20E-04  4.61E-06  2.52E-02  8.20E+00  4.98E+01  
     250   9.0920146973E-02  7.92E+00  4.98E-04  3.60E-04  3.96E-06  8.81E-02  8.20E+00  5.49E+01  
     260   9.0904667893E-02  7.92E+00  4.42E-04  1.02E-04  3.51E-06  2.81E-02  8.20E+00  5.49E+01  
     270   9.0863370062E-02  7.92E+00  3.84E-04  2.59E-04  3.05E-06  8.23E-02  8.20E+00  5.49E+01  
     280   9.0853238655E-02  7.92E+00  3.15E-04  1.29E-04  2.50E-06  4.98E-02  8.20E+00  5.49E+01  
     290   9.0837008150E-02  7.92E+00  2.59E-04  6.77E-05  2.05E-06  3.19E-02  8.20E+00  5.90E+01  
     300   9.0855161274E-02  7.92E+00  1.57E-04  2.05E-04  1.25E-06  1.59E-01  8.20E+00  9.84E+01  
     310   9.0852185536E-02  7.92E+00  6.56E-05  1.30E-04  5.21E-07  2.41E-01  8.20E+00  9.84E+01  
     320   9.0857546095E-02  7.92E+00  3.77E-05  5.01E-05  2.99E-07  1.62E-01  8.20E+00  9.84E+01  
     330   9.0866242389E-02  7.92E+00  2.70E-05  1.03E-05  2.14E-07  4.67E-02  8.20E+00  9.84E+01  
     340   9.0864914541E-02  7.92E+00  2.51E-05  1.55E-05  2.00E-07  7.50E-02  8.20E+00  9.84E+01  
     350   9.0865149803E-02  7.92E+00  2.23E-05  3.88E-06  1.77E-07  2.12E-02  8.20E+00  9.84E+01  
     360   9.0865405449E-02  7.92E+00  2.00E-05  8.96E-06  1.59E-07  5.47E-02  8.20E+00  9.84E+01  
     370   9.0868965132E-02  7.92E+00  1.68E-05  8.10E-06  1.33E-07  5.88E-02  8.20E+00  9.84E+01  
     380   9.0873215320E-02  7.92E+00  1.40E-05  1.97E-06  1.12E-07  1.71E-02  8.20E+00  9.84E+01  
     390   9.0876447385E-02  7.92E+00  1.31E-05  1.16E-05  1.04E-07  1.07E-01  8.20E+00  1.36E+02  
     393   9.0878458720E-02  7.92E+00  1.26E-05  4.96E-06  1.00E-07  4.79E-02  8.20E+00  1.01E+02  
     394   9.0880032586E-02  7.92E+00  1.23E-05  1.09E-05  9.80E-08  1.07E-01  8.20E+00  1.44E+02  

 Exit  MINRES-QLP.       istop =  4              itn    =     394
 Exit  MINRES-QLP.       Anorm =  8.1986E+00     Acond  =  1.4392E+02
 Exit  MINRES-QLP.       rnorm =  1.2343E-05     Arnorm =  1.0854E-05
 Exit  MINRES-QLP.       xnorm =  7.9213E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    187  Itns =    394  test(r) = 9.80E-08  test(Ar) = 1.07E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   2114      ||b||    =   8.19E+01   precon   =   F
 itnlim   =   6342      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  8.19E+01  4.80E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   0.0000000000E+00  9.68E+00  5.91E+01  3.15E+02  4.26E-01  7.96E-01  5.87E+00  1.00E+00  
       2   0.0000000000E+00  1.07E+01  3.96E+01  1.50E+02  2.57E-01  5.64E-01  6.71E+00  1.14E+00  
       3   0.0000000000E+00  1.32E+01  3.26E+01  1.25E+02  1.91E-01  5.69E-01  6.73E+00  1.73E+00  
       4   0.0000000000E+00  1.44E+01  2.46E+01  7.61E+01  1.38E-01  4.59E-01  6.73E+00  1.51E+00  
       5   0.0000000000E+00  1.56E+01  2.17E+01  6.20E+01  1.16E-01  4.24E-01  6.73E+00  2.13E+00  
       6   0.0000000000E+00  1.62E+01  1.83E+01  5.39E+01  9.60E-02  4.37E-01  6.73E+00  1.94E+00  
       7   0.0000000000E+00  1.74E+01  1.55E+01  3.70E+01  7.81E-02  3.54E-01  6.73E+00  2.24E+00  
       8   0.0000000000E+00  1.75E+01  1.45E+01  3.68E+01  7.25E-02  3.77E-01  6.73E+00  2.51E+00  
       9   0.0000000000E+00  1.87E+01  1.15E+01  2.49E+01  5.52E-02  3.22E-01  6.73E+00  2.46E+00  

      10   0.0000000000E+00  1.87E+01  1.13E+01  2.58E+01  5.44E-02  3.40E-01  6.73E+00  2.95E+00  
      20   0.0000000000E+00  2.18E+01  3.90E+00  7.44E+00  1.70E-02  2.83E-01  6.73E+00  3.38E+00  
      30   0.0000000000E+00  2.27E+01  1.62E+00  2.36E+00  6.88E-03  2.17E-01  6.73E+00  3.46E+00  
      40   0.0000000000E+00  2.30E+01  9.68E-01  1.18E+00  4.10E-03  1.82E-01  6.73E+00  5.02E+00  
      50   0.0000000000E+00  2.31E+01  6.16E-01  6.26E-01  2.60E-03  1.51E-01  6.73E+00  5.45E+00  
      60   0.0000000000E+00  2.32E+01  4.25E-01  5.46E-01  1.79E-03  1.91E-01  6.73E+00  5.72E+00  
      70   0.0000000000E+00  2.32E+01  2.93E-01  3.02E-01  1.23E-03  1.53E-01  6.73E+00  7.13E+00  
      80   0.0000000000E+00  2.32E+01  2.18E-01  2.57E-01  9.16E-04  1.75E-01  6.73E+00  7.13E+00  
      90   0.0000000000E+00  2.33E+01  1.62E-01  2.01E-01  6.78E-04  1.85E-01  6.73E+00  8.64E+00  
     100   0.0000000000E+00  2.33E+01  1.23E-01  9.49E-02  5.14E-04  1.15E-01  6.73E+00  8.64E+00  
     110   0.0000000000E+00  2.33E+01  1.04E-01  6.97E-02  4.38E-04  9.91E-02  6.73E+00  9.45E+00  
     120   0.0000000000E+00  2.33E+01  8.50E-02  6.19E-02  3.56E-04  1.08E-01  6.73E+00  1.50E+01  
     130   0.0000000000E+00  2.33E+01  7.08E-02  6.63E-02  2.97E-04  1.39E-01  6.73E+00  1.50E+01  
     140   0.0000000000E+00  2.33E+01  5.73E-02  4.73E-02  2.40E-04  1.23E-01  6.73E+00  1.50E+01  
     150   0.0000000000E+00  2.33E+01  4.48E-02  4.39E-02  1.88E-04  1.46E-01  6.73E+00  1.50E+01  
     160   0.0000000000E+00  2.33E+01  3.55E-02  2.28E-02  1.48E-04  9.54E-02  6.73E+00  1.50E+01  
     170   0.0000000000E+00  2.33E+01  2.81E-02  1.98E-02  1.18E-04  1.05E-01  6.73E+00  1.50E+01  
     180   0.0000000000E+00  2.33E+01  2.45E-02  1.24E-02  1.03E-04  7.52E-02  6.73E+00  1.50E+01  
     190   0.0000000000E+00  2.33E+01  2.20E-02  1.28E-02  9.21E-05  8.62E-02  6.73E+00  1.50E+01  
     200   0.0000000000E+00  2.33E+01  2.06E-02  8.17E-03  8.61E-05  5.90E-02  6.73E+00  1.71E+01  
     210   0.0000000000E+00  2.33E+01  1.92E-02  6.56E-03  8.05E-05  5.07E-02  6.73E+00  1.88E+01  
     220   0.0000000000E+00  2.33E+01  1.82E-02  8.28E-03  7.60E-05  6.77E-02  6.73E+00  2.04E+01  
     230   0.0000000000E+00  2.33E+01  1.70E-02  6.11E-03  7.13E-05  5.33E-02  6.73E+00  2.04E+01  
     240   0.0000000000E+00  2.33E+01  1.58E-02  8.58E-03  6.63E-05  8.05E-02  6.73E+00  2.09E+01  
     250   0.0000000000E+00  2.33E+01  1.46E-02  7.99E-03  6.09E-05  8.15E-02  6.73E+00  2.09E+01  
     260   0.0000000000E+00  2.33E+01  1.30E-02  7.83E-03  5.44E-05  8.95E-02  6.73E+00  2.09E+01  
     270   0.0000000000E+00  2.33E+01  1.10E-02  9.60E-03  4.60E-05  1.30E-01  6.73E+00  2.09E+01  
     280   0.0000000000E+00  2.33E+01  8.23E-03  7.64E-03  3.44E-05  1.38E-01  6.73E+00  2.23E+01  
     290   0.0000000000E+00  2.33E+01  6.23E-03  6.57E-03  2.61E-05  1.57E-01  6.73E+00  2.23E+01  
     300   0.0000000000E+00  2.33E+01  4.38E-03  3.00E-03  1.83E-05  1.02E-01  6.73E+00  2.23E+01  
     310   0.0000000000E+00  2.33E+01  3.41E-03  2.39E-03  1.43E-05  1.04E-01  6.73E+00  2.23E+01  
     320   0.0000000000E+00  2.33E+01  2.85E-03  2.63E-03  1.19E-05  1.37E-01  6.73E+00  2.23E+01  
     330   0.0000000000E+00  2.33E+01  2.24E-03  2.35E-03  9.37E-06  1.56E-01  6.73E+00  2.23E+01  
     340   0.0000000000E+00  2.33E+01  1.76E-03  1.60E-03  7.36E-06  1.35E-01  6.73E+00  2.23E+01  
     350   0.0000000000E+00  2.33E+01  1.34E-03  1.02E-03  5.61E-06  1.13E-01  6.73E+00  2.23E+01  
     360   0.0000000000E+00  2.33E+01  1.01E-03  1.15E-03  4.24E-06  1.68E-01  6.73E+00  2.23E+01  
     370   0.0000000000E+00  2.33E+01  7.78E-04  6.19E-04  3.26E-06  1.18E-01  6.73E+00  2.23E+01  
     380   0.0000000000E+00  2.33E+01  5.67E-04  5.18E-04  2.37E-06  1.36E-01  6.73E+00  2.23E+01  
     390   0.0000000000E+00  2.33E+01  3.77E-04  3.87E-04  1.58E-06  1.52E-01  6.73E+00  2.23E+01  
     400   0.0000000000E+00  2.33E+01  2.56E-04  2.23E-04  1.07E-06  1.29E-01  6.73E+00  2.23E+01  
     410   0.0000000000E+00  2.33E+01  1.66E-04  1.32E-04  6.95E-07  1.18E-01  6.73E+00  2.23E+01  
     420   0.0000000000E+00  2.33E+01  1.16E-04  1.72E-04  4.87E-07  2.20E-01  6.73E+00  2.23E+01  
     430   0.0000000000E+00  2.33E+01  8.11E-05  1.29E-04  3.39E-07  2.36E-01  6.73E+00  2.23E+01  
     440   0.0000000000E+00  2.33E+01  5.32E-05  5.03E-05  2.23E-07  1.40E-01  6.73E+00  2.23E+01  
     450   0.0000000000E+00  2.33E+01  3.79E-05  3.04E-05  1.58E-07  1.19E-01  6.73E+00  2.23E+01  
     460   0.0000000000E+00  2.33E+01  2.97E-05  2.04E-05  1.24E-07  1.02E-01  6.73E+00  2.23E+01  
     470   0.0000000000E+00  2.33E+01  2.47E-05  1.94E-05  1.03E-07  1.17E-01  6.73E+00  2.23E+01  
     472   0.0000000000E+00  2.33E+01  2.41E-05  2.26E-05  1.01E-07  1.39E-01  6.73E+00  2.23E+01  
     473   0.0000000000E+00  2.33E+01  2.30E-05  1.88E-05  9.64E-08  1.21E-01  6.73E+00  2.21E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =     473
 Exit  MINRES-QLP.       Anorm =  6.7326E+00     Acond  =  2.2077E+01
 Exit  MINRES-QLP.       rnorm =  2.3022E-05     Arnorm =  1.8823E-05
 Exit  MINRES-QLP.       xnorm =  2.3310E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   2114  Itns =    473  test(r) = 9.64E-08  test(Ar) = 1.21E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     25      ||b||    =   5.00E+00   precon   =   F
 itnlim   =     75      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  5.00E+00  3.50E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.3795918367E-01  6.90E-01  1.30E+00  3.40E+00  1.32E-01  3.54E-01  7.00E+00  1.00E+00  
       2   2.5243781095E-01  8.51E-01  1.00E+00  2.05E+00  8.86E-02  2.77E-01  7.40E+00  2.92E+00  
       3   1.9442354487E-01  9.30E-01  2.96E-01  2.90E-01  2.49E-02  1.32E-01  7.40E+00  3.64E+00  
       4   2.8748511540E-01  9.71E-01  1.85E-01  1.41E-01  1.52E-02  1.03E-01  7.40E+00  7.62E+00  
       5   2.4760476844E-01  9.99E-01  1.82E-02  9.76E-03  1.47E-03  7.26E-02  7.40E+00  9.91E+00  
       6   2.5000000000E-01  1.00E+00  6.53E-12  4.87E-11  5.26E-13  1.01E+00  7.40E+00  1.38E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =       6
 Exit  MINRES-QLP.       Anorm =  7.4000E+00     Acond  =  1.3798E+01
 Exit  MINRES-QLP.       rnorm =  6.5263E-12     Arnorm =  4.8715E-11
 Exit  MINRES-QLP.       xnorm =  1.0000E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     25  Itns =      6  test(r) = 5.26E-13  test(Ar) = 1.01E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     72      ||b||    =   8.49E+00   precon   =   F
 itnlim   =    216      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  8.49E+00  2.67E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.1179775281E-01  2.65E+00  1.67E+00  3.18E+00  9.92E-02  5.85E-01  3.14E+00  1.00E+00  
       2   3.8054059934E-01  2.73E+00  1.57E+00  2.31E+00  9.02E-02  4.52E-01  3.26E+00  1.73E+00  
       3   3.2919103940E-01  2.77E+00  9.90E-01  1.18E+00  5.66E-02  3.67E-01  3.26E+00  2.17E+00  
       4   4.6292560324E-01  2.87E+00  7.68E-01  6.31E-01  4.31E-02  2.52E-01  3.26E+00  2.67E+00  
       5   5.3413698621E-01  2.95E+00  7.37E-01  3.98E-01  4.08E-02  1.66E-01  3.26E+00  4.91E+00  
       6   5.0371787763E-01  2.91E+00  7.08E-01  4.37E-01  3.94E-02  1.90E-01  3.26E+00  4.13E+00  
       7   5.9522042757E-01  3.06E+00  6.26E-01  3.22E-01  3.39E-02  1.58E-01  3.26E+00  4.95E+00  
       8   6.1319940009E-01  3.09E+00  6.23E-01  2.79E-01  3.36E-02  1.37E-01  3.26E+00  7.06E+00  
       9   6.0709067597E-01  3.10E+00  5.92E-01  3.61E-01  3.18E-02  1.88E-01  3.26E+00  4.95E+00  

      10   7.1380061637E-01  3.47E+00  5.01E-01  3.24E-01  2.53E-02  1.99E-01  3.26E+00  8.66E+00  
      20   1.0517174580E+00  4.86E+00  3.92E-01  1.04E-01  1.61E-02  8.12E-02  3.26E+00  1.69E+01  
      30   1.3683731211E+00  6.28E+00  3.20E-01  1.45E-01  1.11E-02  1.39E-01  3.26E+00  2.41E+01  
      40   1.8336485071E+00  9.41E+00  2.29E-01  1.03E-01  5.86E-03  1.38E-01  3.26E+00  3.68E+01  
      50   1.9446225468E+00  1.41E+01  4.83E-02  3.50E-02  8.88E-04  2.22E-01  3.26E+00  4.48E+01  
      60   1.9859937509E+00  1.44E+01  5.29E-03  3.49E-03  9.55E-05  2.03E-01  3.26E+00  4.48E+01  
      64   1.9999999843E+00  1.44E+01  1.29E-05  4.27E-05  2.33E-07  1.00E+00  3.26E+00  4.48E+01  
      65   1.9999999990E+00  1.44E+01  3.69E-07  7.56E-07  6.57E-09  6.20E-01  3.31E+00  4.31E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      65
 Exit  MINRES-QLP.       Anorm =  3.3072E+00     Acond  =  4.3061E+01
 Exit  MINRES-QLP.       rnorm =  3.6892E-07     Arnorm =  7.5624E-07
 Exit  MINRES-QLP.       xnorm =  1.4422E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     72  Itns =     65  test(r) = 6.57E-09  test(Ar) = 6.20E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     84      ||b||    =   9.17E+00   precon   =   F
 itnlim   =    252      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  9.17E+00  3.63E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.5227963526E-01  2.31E+00  4.93E-01  8.08E-01  2.69E-02  4.13E-01  3.96E+00  1.00E+00  
       2   2.4199288256E-01  2.31E+00  4.92E-01  8.17E-01  2.68E-02  4.19E-01  3.96E+00  2.42E+00  
       3   2.2699386503E-01  2.32E+00  3.13E-01  4.27E-01  1.71E-02  3.44E-01  3.96E+00  1.87E+00  
       4   2.3422862403E-01  2.32E+00  3.12E-01  3.64E-01  1.70E-02  2.95E-01  3.96E+00  2.91E+00  
       5   1.5387576120E-01  2.34E+00  1.89E-01  2.18E-01  1.02E-02  2.91E-01  3.96E+00  4.86E+00  
       6   1.5159120593E-01  2.34E+00  1.88E-01  2.30E-01  1.02E-02  3.08E-01  3.96E+00  3.57E+00  
       7   1.0631162020E-01  2.37E+00  1.14E-01  2.28E-02  6.12E-03  5.07E-02  3.96E+00  5.20E+00  
       8  -7.0346506398E-14  2.55E+00  3.68E-12  1.46E-11  1.91E-13  1.00E+00  3.96E+00  2.66E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =       8
 Exit  MINRES-QLP.       Anorm =  3.9645E+00     Acond  =  2.6599E+01
 Exit  MINRES-QLP.       rnorm =  3.6760E-12     Arnorm =  1.4583E-11
 Exit  MINRES-QLP.       xnorm =  2.5495E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     84  Itns =      8  test(r) = 1.91E-13  test(Ar) = 1.00E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     66      ||b||    =   8.12E+00   precon   =   F
 itnlim   =    198      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  8.12E+00  5.56E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.4563106796E-01  1.18E+00  6.83E-01  1.21E+00  4.21E-02  2.58E-01  6.84E+00  1.00E+00  
       2   2.0861372813E-01  1.21E+00  6.23E-01  5.62E-01  3.79E-02  1.31E-01  6.87E+00  3.87E+00  
       3  -9.0909090909E-02  1.46E+00  1.68E-13  1.17E-12  9.28E-15  1.01E+00  6.87E+00  1.13E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =       3
 Exit  MINRES-QLP.       Anorm =  6.8735E+00     Acond  =  1.1281E+01
 Exit  MINRES-QLP.       rnorm =  1.6849E-13     Arnorm =  1.1676E-12
 Exit  MINRES-QLP.       xnorm =  1.4602E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     66  Itns =      3  test(r) = 9.36E-15  test(Ar) = 1.00E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    112      ||b||    =   1.06E+01   precon   =   F
 itnlim   =    336      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.06E+01  3.17E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.3333333333E-01  3.53E+00  8.29E-15  1.76E-14  3.92E-16  7.09E-01  3.00E+00  1.00E+00  

 Exit  MINRES-QLP.       istop =  4              itn    =       1
 Exit  MINRES-QLP.       Anorm =  3.0000E+00     Acond  =  1.0000E+00
 Exit  MINRES-QLP.       rnorm =  8.2897E-15     Arnorm =  1.7624E-14
 Exit  MINRES-QLP.       xnorm =  3.5277E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    112  Itns =      1  test(r) = 2.78E-16  test(Ar) = 1.00E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =     61      ||b||    =   7.81E+00   precon   =   F
 itnlim   =    183      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  7.81E+00  7.75E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   9.2817863689E-02  7.25E-01  3.05E+00  6.82E+00  2.03E-01  2.07E-01  9.92E+00  1.00E+00  
       2   8.5742086085E-02  7.07E-01  3.05E+00  7.29E+00  1.97E-01  2.22E-01  1.08E+01  4.82E+00  
       3   4.6930368859E-02  1.14E+00  2.36E+00  7.02E+00  1.17E-01  2.75E-01  1.08E+01  6.10E+00  
       4   1.2630819910E-01  1.48E+00  1.76E+00  3.26E+00  7.41E-02  1.71E-01  1.08E+01  4.82E+00  
       5   1.0344531578E-01  1.54E+00  1.73E+00  4.06E+00  7.07E-02  2.17E-01  1.08E+01  6.10E+00  
       6   4.0498519220E-02  2.00E+00  1.23E+00  6.06E+00  4.18E-02  4.57E-01  1.08E+01  5.85E+00  
       7   3.2095933049E-02  2.27E+00  7.72E-01  1.90E+00  2.39E-02  2.28E-01  1.08E+01  6.10E+00  
       8   3.6874809096E-02  2.26E+00  7.64E-01  1.54E+00  2.37E-02  1.87E-01  1.08E+01  5.85E+00  
       9  -5.5224837385E-03  2.37E+00  5.89E-01  1.39E+00  1.76E-02  2.18E-01  1.08E+01  6.10E+00  

      10   4.3992344483E-03  2.41E+00  4.84E-01  7.07E-01  1.43E-02  1.35E-01  1.08E+01  5.85E+00  
      20  -3.7564654181E-03  2.53E+00  2.07E-01  2.25E-01  5.89E-03  1.01E-01  1.08E+01  1.23E+01  
      30   7.7864148409E-04  2.58E+00  1.35E-01  4.37E-02  3.80E-03  2.98E-02  1.08E+01  3.05E+01  
      40   9.2190183108E-05  2.91E+00  5.64E-02  3.18E-02  1.44E-03  5.22E-02  1.08E+01  6.95E+01  
      50  -2.3990512094E-04  3.05E+00  8.45E-03  9.12E-03  2.07E-04  9.99E-02  1.08E+01  8.03E+01  
      60  -8.8268054833E-06  3.06E+00  4.16E-04  6.12E-04  1.02E-05  1.36E-01  1.08E+01  8.03E+01  
      65   8.6177446026E-08  3.06E+00  2.15E-05  1.71E-04  5.28E-07  7.35E-01  1.08E+01  8.33E+01  
      66   4.3262518551E-08  3.06E+00  2.75E-06  6.63E-06  6.72E-08  2.22E-01  1.08E+01  8.05E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =      66
 Exit  MINRES-QLP.       Anorm =  1.0832E+01     Acond  =  8.0545E+01
 Exit  MINRES-QLP.       rnorm =  2.7502E-06     Arnorm =  6.6279E-06
 Exit  MINRES-QLP.       xnorm =  3.0551E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =     61  Itns =     66  test(r) = 6.72E-08  test(Ar) = 2.22E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    162      ||b||    =   1.27E+01   precon   =   F
 itnlim   =    486      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.27E+01  9.55E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2971905180E-01  1.65E+00  2.94E+00  8.24E+00  1.17E-01  3.56E-01  7.50E+00  1.00E+00  
       2   2.6216236601E-01  2.03E+00  1.99E+00  4.93E+00  6.95E-02  3.15E-01  7.85E+00  2.90E+00  
       3   3.0328097678E-01  2.18E+00  1.91E+00  3.21E+00  6.40E-02  2.14E-01  7.85E+00  3.85E+00  
       4   2.6704216502E-01  2.13E+00  1.71E+00  3.95E+00  5.82E-02  2.93E-01  7.85E+00  3.45E+00  
       5   2.9058282700E-01  2.37E+00  1.33E+00  2.88E+00  4.26E-02  2.75E-01  7.85E+00  3.85E+00  
       6   3.3444186418E-01  2.52E+00  1.24E+00  1.61E+00  3.81E-02  1.66E-01  7.85E+00  4.98E+00  
       7   2.9183493890E-01  2.50E+00  1.13E+00  2.55E+00  3.48E-02  2.88E-01  7.85E+00  4.71E+00  
       8   3.0430318550E-01  2.67E+00  8.55E-01  1.70E+00  2.53E-02  2.53E-01  7.85E+00  4.98E+00  
       9   3.0485092001E-01  2.68E+00  8.55E-01  1.68E+00  2.53E-02  2.50E-01  7.85E+00  4.71E+00  

      10   2.5069523944E-01  2.78E+00  5.97E-01  1.34E+00  1.73E-02  2.86E-01  7.85E+00  6.66E+00  
      20   2.9770758315E-01  2.94E+00  3.07E-01  1.79E-01  8.56E-03  7.46E-02  7.85E+00  8.86E+00  
      30   2.7626350225E-01  3.01E+00  2.36E-01  1.75E-01  6.48E-03  9.45E-02  7.85E+00  1.62E+01  
      40   2.3083365565E-01  3.12E+00  1.81E-01  1.43E-01  4.87E-03  1.01E-01  7.85E+00  1.65E+01  
      50   1.1829983658E-01  3.31E+00  1.19E-01  5.92E-02  3.08E-03  6.32E-02  7.85E+00  2.49E+01  
      60   3.6055295443E-02  3.52E+00  6.09E-02  3.00E-02  1.51E-03  6.28E-02  7.85E+00  2.58E+01  
      70   3.1108378038E-02  3.59E+00  3.35E-02  2.81E-02  8.18E-04  1.07E-01  7.85E+00  2.58E+01  
      80   3.1396257042E-02  3.61E+00  1.75E-02  1.61E-02  4.26E-04  1.17E-01  7.85E+00  2.58E+01  
      90   3.7617074882E-02  3.62E+00  8.24E-03  5.68E-03  2.00E-04  8.78E-02  7.85E+00  3.24E+01  
     100   4.1045011075E-02  3.62E+00  2.35E-03  2.31E-03  5.70E-05  1.25E-01  7.85E+00  3.24E+01  
     110   4.1610199070E-02  3.62E+00  6.71E-04  4.22E-04  1.63E-05  8.01E-02  7.85E+00  3.24E+01  
     120   4.1627829113E-02  3.62E+00  2.32E-04  8.05E-05  5.63E-06  4.43E-02  7.85E+00  3.24E+01  
     130   4.1666505859E-02  3.62E+00  3.63E-05  1.31E-04  8.82E-07  4.61E-01  7.85E+00  3.24E+01  
     133   4.1666713249E-02  3.62E+00  4.69E-06  1.78E-05  1.14E-07  4.83E-01  7.85E+00  2.44E+01  
     134   4.1666698754E-02  3.62E+00  1.86E-06  6.34E-06  4.51E-08  4.34E-01  7.85E+00  3.24E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =     134
 Exit  MINRES-QLP.       Anorm =  7.8512E+00     Acond  =  3.2437E+01
 Exit  MINRES-QLP.       rnorm =  1.8585E-06     Arnorm =  6.3362E-06
 Exit  MINRES-QLP.       xnorm =  3.6228E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    162  Itns =    134  test(r) = 4.51E-08  test(Ar) = 4.34E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    144      ||b||    =   1.20E+01   precon   =   F
 itnlim   =    432      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.20E+01  1.14E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.0000000000E-01  1.20E+00  3.79E+00  5.50E+00  1.62E-01  1.47E-01  9.49E+00  1.00E+00  
       2   4.6391752577E-02  2.30E+00  1.93E+00  2.07E+00  5.56E-02  1.09E-01  9.88E+00  7.00E+00  
       3   2.0000000000E-01  4.38E+00  1.98E-13  1.97E-12  3.57E-15  1.01E+00  9.88E+00  1.32E+01  

 Exit  MINRES-QLP.       istop =  4              itn    =       3
 Exit  MINRES-QLP.       Anorm =  9.8776E+00     Acond  =  1.3226E+01
 Exit  MINRES-QLP.       rnorm =  1.9759E-13     Arnorm =  1.9682E-12
 Exit  MINRES-QLP.       xnorm =  4.3818E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    144  Itns =      3  test(r) = 3.60E-15  test(Ar) = 1.00E+00


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    187      ||b||    =   1.37E+01   precon   =   F
 itnlim   =    561      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.37E+01  1.11E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2152579672E-01  1.66E+00  2.41E+00  7.99E+00  8.88E-02  3.99E-01  8.10E+00  1.00E+00  
       2   1.7652564332E-01  1.83E+00  1.83E+00  2.30E+00  6.34E-02  1.51E-01  8.32E+00  2.55E+00  
       3   1.0045276731E-01  1.88E+00  1.31E+00  4.99E+00  4.45E-02  4.60E-01  8.32E+00  7.13E+00  
       4   8.8218443494E-02  1.98E+00  1.07E+00  1.95E+00  3.56E-02  2.18E-01  8.32E+00  2.95E+00  
       5   8.2761417288E-02  2.01E+00  1.06E+00  2.35E+00  3.49E-02  2.66E-01  8.32E+00  7.13E+00  
       6   1.3280863471E-01  2.41E+00  5.38E-01  2.08E+00  1.60E-02  4.65E-01  8.32E+00  7.11E+00  
       7   1.5311135237E-01  2.45E+00  4.28E-01  7.54E-01  1.25E-02  2.12E-01  8.32E+00  7.13E+00  
       8   1.5380021691E-01  2.47E+00  4.17E-01  9.31E-01  1.22E-02  2.68E-01  8.32E+00  7.11E+00  
       9   1.7403902033E-01  2.51E+00  3.35E-01  6.34E-01  9.71E-03  2.27E-01  8.32E+00  7.13E+00  

      10   1.8023674783E-01  2.51E+00  3.08E-01  3.76E-01  8.92E-03  1.46E-01  8.32E+00  7.11E+00  
      20   1.7133475590E-01  2.56E+00  1.70E-01  1.57E-01  4.85E-03  1.11E-01  8.32E+00  8.67E+00  
      30   1.7964102209E-01  2.59E+00  1.19E-01  1.19E-01  3.38E-03  1.20E-01  8.32E+00  1.04E+01  
      40   1.8935057867E-01  2.60E+00  1.01E-01  5.26E-02  2.87E-03  6.24E-02  8.32E+00  1.82E+01  
      50   2.0231227429E-01  2.62E+00  8.76E-02  5.26E-02  2.47E-03  7.21E-02  8.32E+00  1.82E+01  
      60   2.0303274876E-01  2.63E+00  7.99E-02  2.36E-02  2.25E-03  3.55E-02  8.32E+00  2.42E+01  
      70   1.9787951813E-01  2.64E+00  7.34E-02  3.26E-02  2.06E-03  5.35E-02  8.32E+00  2.72E+01  
      80   1.9661175732E-01  2.65E+00  6.88E-02  2.13E-02  1.92E-03  3.71E-02  8.32E+00  3.64E+01  
      90   1.8909987977E-01  2.67E+00  6.37E-02  2.57E-02  1.77E-03  4.85E-02  8.32E+00  3.64E+01  
     100   1.8938815200E-01  2.69E+00  5.98E-02  1.67E-02  1.66E-03  3.36E-02  8.32E+00  3.64E+01  
     110   1.9076882077E-01  2.71E+00  5.57E-02  2.64E-02  1.54E-03  5.70E-02  8.32E+00  3.64E+01  
     120   1.9571354304E-01  2.74E+00  5.23E-02  3.10E-02  1.44E-03  7.11E-02  8.32E+00  4.38E+01  
     130   2.0216546335E-01  2.77E+00  4.88E-02  2.33E-02  1.33E-03  5.74E-02  8.32E+00  4.71E+01  
     140   2.0465436593E-01  2.79E+00  4.60E-02  1.81E-02  1.24E-03  4.74E-02  8.32E+00  4.71E+01  
     150   2.0806399797E-01  2.82E+00  4.34E-02  1.69E-02  1.17E-03  4.68E-02  8.32E+00  5.89E+01  
     160   2.1394117303E-01  2.86E+00  4.10E-02  9.63E-03  1.10E-03  2.82E-02  8.32E+00  6.81E+01  
     170   2.2661001864E-01  2.91E+00  3.78E-02  1.36E-02  9.98E-04  4.32E-02  8.32E+00  6.81E+01  
     180   2.3234456646E-01  2.94E+00  3.63E-02  5.94E-03  9.53E-04  1.96E-02  8.32E+00  6.81E+01  
     190   2.3671619533E-01  2.98E+00  3.40E-02  1.03E-02  8.85E-04  3.64E-02  8.32E+00  6.81E+01  
     200   2.3771955588E-01  2.99E+00  3.31E-02  3.88E-03  8.60E-04  1.41E-02  8.32E+00  6.84E+01  
     210   2.3424554127E-01  3.01E+00  3.18E-02  8.86E-03  8.21E-04  3.35E-02  8.32E+00  6.84E+01  
     220   2.2986250006E-01  3.03E+00  3.04E-02  3.23E-03  7.81E-04  1.28E-02  8.32E+00  9.04E+01  
     230   2.2671152998E-01  3.04E+00  2.98E-02  4.15E-03  7.64E-04  1.67E-02  8.32E+00  9.04E+01  
     240   2.2538724273E-01  3.06E+00  2.89E-02  3.58E-03  7.40E-04  1.49E-02  8.32E+00  9.39E+01  
     250   2.2239758571E-01  3.08E+00  2.78E-02  1.06E-02  7.09E-04  4.56E-02  8.32E+00  9.39E+01  
     260   2.1863315002E-01  3.11E+00  2.65E-02  6.33E-03  6.70E-04  2.87E-02  8.32E+00  1.60E+02  
     270   2.0626830963E-01  3.23E+00  2.34E-02  5.26E-03  5.76E-04  2.70E-02  8.32E+00  1.60E+02  
     280   1.9795151097E-01  3.39E+00  2.01E-02  4.59E-03  4.80E-04  2.75E-02  8.32E+00  1.80E+02  
     290   1.8815139989E-01  3.55E+00  1.69E-02  7.29E-03  3.90E-04  5.20E-02  8.32E+00  1.80E+02  
     300   1.7492219333E-01  3.76E+00  1.13E-02  1.39E-02  2.51E-04  1.48E-01  8.32E+00  1.80E+02  
     310   1.6735176324E-01  3.88E+00  6.85E-03  5.98E-03  1.49E-04  1.05E-01  8.32E+00  1.80E+02  
     320   1.6784886184E-01  3.94E+00  3.64E-03  3.08E-03  7.84E-05  1.02E-01  8.32E+00  1.80E+02  
     330   1.6768915391E-01  3.95E+00  2.50E-03  1.49E-03  5.38E-05  7.16E-02  8.32E+00  1.80E+02  
     340   1.6738140325E-01  3.95E+00  1.57E-03  9.04E-04  3.36E-05  6.93E-02  8.32E+00  1.80E+02  
     350   1.6709751996E-01  3.96E+00  1.30E-03  7.44E-04  2.79E-05  6.89E-02  8.32E+00  1.80E+02  
     360   1.6700228172E-01  3.96E+00  1.10E-03  2.77E-04  2.36E-05  3.03E-02  8.32E+00  1.80E+02  
     370   1.6688132599E-01  3.96E+00  8.96E-04  1.44E-03  1.92E-05  1.94E-01  8.32E+00  1.80E+02  
     380   1.6668158410E-01  3.96E+00  4.07E-04  1.05E-03  8.73E-06  3.09E-01  8.32E+00  1.80E+02  
     390   1.6663577444E-01  3.96E+00  1.11E-04  1.27E-04  2.39E-06  1.37E-01  8.32E+00  1.80E+02  
     400   1.6665149643E-01  3.96E+00  3.02E-05  2.28E-05  6.49E-07  9.06E-02  8.32E+00  1.80E+02  
     410   1.6666528922E-01  3.96E+00  6.34E-06  9.59E-06  1.36E-07  1.82E-01  8.32E+00  1.80E+02  
     411   1.6666526545E-01  3.96E+00  6.28E-06  1.26E-05  1.35E-07  2.40E-01  8.32E+00  2.24E+02  
     412   1.6666583726E-01  3.96E+00  3.70E-06  6.69E-06  7.94E-08  2.18E-01  8.32E+00  1.80E+02  

 Exit  MINRES-QLP.       istop =  4              itn    =     412
 Exit  MINRES-QLP.       Anorm =  8.3182E+00     Acond  =  1.8014E+02
 Exit  MINRES-QLP.       rnorm =  3.6982E-06     Arnorm =  6.6933E-06
 Exit  MINRES-QLP.       xnorm =  3.9581E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    187  Itns =    412  test(r) = 7.94E-08  test(Ar) = 2.18E-01


---------------------------------------
 Test of MINRESQLP on an MM CPS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   2114      ||b||    =   4.60E+01   precon   =   F
 itnlim   =   6342      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  4.60E+01  1.71E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.5374056280E-01  7.07E+00  3.78E+01  1.17E+02  5.23E-01  5.02E-01  3.71E+00  1.00E+00  
       2   7.4150680054E-02  5.61E+00  3.58E+01  8.70E+01  4.44E-01  3.79E-01  6.19E+00  1.67E+00  
       3   2.5955626028E-01  1.15E+01  3.13E+01  6.50E+01  2.62E-01  3.25E-01  6.40E+00  2.63E+00  
       4   1.6716274410E-01  1.03E+01  3.03E+01  5.66E+01  2.72E-01  2.92E-01  6.40E+00  2.52E+00  
       5   3.3103988453E-01  1.46E+01  2.79E+01  4.56E+01  2.00E-01  2.55E-01  6.40E+00  3.02E+00  
       6   2.1887804304E-01  1.35E+01  2.72E+01  4.52E+01  2.06E-01  2.60E-01  6.40E+00  3.26E+00  
       7   3.5130623310E-01  1.67E+01  2.54E+01  3.33E+01  1.66E-01  2.05E-01  6.40E+00  3.02E+00  
       8   2.6835418788E-01  1.59E+01  2.52E+01  3.54E+01  1.70E-01  2.20E-01  6.40E+00  4.46E+00  
       9   3.3885888402E-01  1.85E+01  2.35E+01  2.73E+01  1.43E-01  1.82E-01  6.40E+00  3.02E+00  

      10   3.0933754554E-01  1.83E+01  2.35E+01  2.78E+01  1.44E-01  1.85E-01  6.40E+00  5.42E+00  
      20   6.6565421948E-02  2.36E+01  1.98E+01  1.03E+01  1.01E-01  8.10E-02  6.40E+00  1.13E+01  
      30  -3.0402797172E-01  2.71E+01  1.89E+01  4.75E+00  8.64E-02  3.92E-02  6.40E+00  1.25E+01  
      40  -2.6013114572E-01  2.90E+01  1.86E+01  3.41E+00  8.04E-02  2.86E-02  6.40E+00  1.25E+01  
      50  -1.5970167612E-01  3.02E+01  1.85E+01  2.39E+00  7.74E-02  2.02E-02  6.40E+00  1.93E+01  
      60  -1.2313928983E-01  3.12E+01  1.84E+01  1.75E+00  7.51E-02  1.48E-02  6.40E+00  6.24E+01  
      70   6.6283020115E-01  3.43E+01  1.84E+01  1.84E+00  6.92E-02  1.56E-02  6.40E+00  7.46E+01  
      80   1.6267850275E+00  4.45E+01  1.83E+01  1.16E+00  5.55E-02  9.89E-03  6.40E+00  1.04E+02  
      90   2.4871542622E+00  5.68E+01  1.83E+01  9.57E-01  4.47E-02  8.18E-03  6.40E+00  1.18E+02  
     100   2.8648884368E+00  6.29E+01  1.83E+01  9.57E-01  4.08E-02  8.18E-03  6.40E+00  1.18E+02  
     110   2.7168386570E+00  6.12E+01  1.83E+01  7.51E-01  4.18E-02  6.42E-03  6.40E+00  1.57E+02  
     120   2.4995334952E+00  5.87E+01  1.83E+01  1.11E+00  4.33E-02  9.47E-03  6.40E+00  1.57E+02  
     130   2.0803156931E+00  5.39E+01  1.82E+01  8.67E-01  4.67E-02  7.43E-03  6.40E+00  1.57E+02  
     140   2.0195413128E+00  5.37E+01  1.82E+01  5.26E-01  4.68E-02  4.51E-03  6.40E+00  1.92E+02  
     150   1.9021938612E+00  5.29E+01  1.82E+01  5.83E-01  4.74E-02  5.00E-03  6.40E+00  1.92E+02  
     160   2.0926410395E+00  5.58E+01  1.82E+01  4.55E-01  4.52E-02  3.90E-03  6.40E+00  1.92E+02  
     170   3.2662227239E+00  7.25E+01  1.82E+01  4.24E-01  3.57E-02  3.64E-03  6.40E+00  3.06E+02  
     180   4.7760968095E+00  9.66E+01  1.82E+01  4.97E-01  2.74E-02  4.27E-03  6.40E+00  3.95E+02  
     190   6.9609791898E+00  1.34E+02  1.82E+01  3.66E-01  2.02E-02  3.14E-03  6.40E+00  4.45E+02  
     200   9.5901129768E+00  1.80E+02  1.82E+01  3.91E-01  1.52E-02  3.36E-03  6.40E+00  6.07E+02  
     210   1.2731503119E+01  2.36E+02  1.82E+01  4.19E-01  1.17E-02  3.60E-03  6.40E+00  6.07E+02  
     220   1.4924463202E+01  2.75E+02  1.82E+01  2.87E-01  1.01E-02  2.46E-03  6.40E+00  6.07E+02  
     230   1.6887831754E+01  3.11E+02  1.82E+01  2.32E-01  8.95E-03  2.00E-03  6.40E+00  6.89E+02  
     240   1.8169605895E+01  3.34E+02  1.82E+01  1.35E-01  8.34E-03  1.16E-03  6.40E+00  6.89E+02  
     250   1.9277133504E+01  3.54E+02  1.82E+01  1.39E-01  7.88E-03  1.19E-03  6.40E+00  7.31E+02  
     260   2.0184079498E+01  3.70E+02  1.82E+01  1.05E-01  7.54E-03  9.03E-04  6.40E+00  7.31E+02  
     270   2.1103652564E+01  3.87E+02  1.82E+01  6.04E-02  7.22E-03  5.19E-04  6.40E+00  2.33E+03  
     280   2.2422948932E+01  4.11E+02  1.82E+01  4.69E-02  6.81E-03  4.03E-04  6.40E+00  2.71E+03  
     290   2.3531798657E+01  4.31E+02  1.82E+01  4.23E-02  6.50E-03  3.63E-04  6.40E+00  2.71E+03  
     300   2.5095789594E+01  4.59E+02  1.82E+01  2.59E-02  6.10E-03  2.22E-04  6.40E+00  3.17E+03  
     310   2.6268297825E+01  4.80E+02  1.82E+01  2.57E-02  5.84E-03  2.21E-04  6.40E+00  3.17E+03  
     320   2.7768468608E+01  5.07E+02  1.82E+01  2.36E-02  5.53E-03  2.03E-04  6.40E+00  5.93E+03  
     330   2.8664280154E+01  5.24E+02  1.82E+01  1.99E-02  5.36E-03  1.71E-04  6.40E+00  7.62E+03  
     340   2.9652763484E+01  5.42E+02  1.82E+01  1.05E-02  5.18E-03  9.04E-05  6.40E+00  1.08E+04  
     350   3.0585480377E+01  5.58E+02  1.82E+01  6.83E-03  5.03E-03  5.87E-05  6.40E+00  1.08E+04  
     360   3.1904482621E+01  5.82E+02  1.82E+01  6.23E-03  4.82E-03  5.35E-05  6.40E+00  2.23E+04  
     370   3.3280594708E+01  6.07E+02  1.82E+01  5.44E-03  4.56E-03  4.61E-05  6.49E+00  2.36E+04  
     380   3.4907093708E+01  6.37E+02  1.82E+01  3.31E-03  4.35E-03  2.81E-05  6.49E+00  3.22E+04  
     390   3.6133549162E+01  6.59E+02  1.82E+01  2.99E-03  4.21E-03  2.53E-05  6.49E+00  3.22E+04  
     400   3.8349155655E+01  6.99E+02  1.82E+01  3.72E-03  3.97E-03  3.15E-05  6.49E+00  3.26E+04  
     410   4.1767542152E+01  7.61E+02  1.82E+01  2.64E-03  3.65E-03  2.24E-05  6.49E+00  7.89E+04  
     420   4.5111739553E+01  8.22E+02  1.82E+01  3.30E-03  3.38E-03  2.80E-05  6.49E+00  7.89E+04  
     430   4.9127766879E+01  8.95E+02  1.82E+01  2.04E-03  3.11E-03  1.73E-05  6.49E+00  1.08E+05  
     440   5.0865435916E+01  9.27E+02  1.82E+01  1.33E-03  3.00E-03  1.12E-05  6.49E+00  1.08E+05  
     450   5.2286793780E+01  9.53E+02  1.82E+01  8.78E-04  2.92E-03  7.44E-06  6.49E+00  1.18E+05  
     460   5.2458253678E+01  9.56E+02  1.82E+01  4.95E-04  2.91E-03  4.19E-06  6.49E+00  1.81E+05  
     470   5.3128881534E+01  9.68E+02  1.82E+01  3.78E-04  2.88E-03  3.20E-06  6.49E+00  2.04E+05  
     480   5.3728298651E+01  9.79E+02  1.82E+01  3.39E-04  2.84E-03  2.87E-06  6.49E+00  2.08E+05  
     490   5.4982352864E+01  1.00E+03  1.82E+01  2.60E-04  2.78E-03  2.20E-06  6.49E+00  5.89E+05  
     500   5.6420806650E+01  1.03E+03  1.82E+01  1.80E-04  2.71E-03  1.53E-06  6.49E+00  7.34E+05  
     510   5.7587060866E+01  1.05E+03  1.82E+01  1.48E-04  2.66E-03  1.25E-06  6.49E+00  7.67E+05  
     520   5.8432423525E+01  1.06E+03  1.82E+01  1.16E-04  2.62E-03  9.83E-07  6.49E+00  7.67E+05  
     530   5.9876801996E+01  1.09E+03  1.82E+01  9.72E-05  2.55E-03  8.23E-07  6.49E+00  1.43E+06  
     540   6.0879922920E+01  1.11E+03  1.82E+01  9.22E-05  2.51E-03  7.81E-07  6.49E+00  1.43E+06  
     550   6.1967473670E+01  1.13E+03  1.82E+01  4.56E-05  2.47E-03  3.86E-07  6.49E+00  2.38E+06  
     560   6.2505827526E+01  1.14E+03  1.82E+01  3.55E-05  2.45E-03  3.00E-07  6.49E+00  2.38E+06  
     570   6.2858153210E+01  1.14E+03  1.82E+01  2.17E-05  2.43E-03  1.83E-07  6.49E+00  3.22E+06  
     575   6.3230350918E+01  1.15E+03  1.82E+01  1.18E-05  2.42E-03  1.00E-07  6.49E+00  1.00E+07  
     578   6.3388311207E+01  1.15E+03  1.82E+01  1.07E-05  2.41E-03  9.02E-08  6.49E+00  1.00E+07  
     579   6.3288104911E+01  1.15E+03  1.82E+01  1.33E-05  2.41E-03  1.13E-07  6.49E+00  1.00E+07  

 Exit  MINRES-QLP.       istop =  6              itn    =     579
 Exit  MINRES-QLP.       Anorm =  6.4899E+00     Acond  =  1.0045E+07
 Exit  MINRES-QLP.       rnorm =  1.8197E+01     Arnorm =  1.3342E-05
 Exit  MINRES-QLP.       xnorm =  1.1526E+03
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =   2114  Itns =    579  test(r) = 2.42E-03  test(Ar) = 1.13E-07
  
  MINRESQLP tests on MM CRS examples


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   1000      ||b||    =   1.08E+01   precon   =   F
 itnlim   =   3000      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.08E+01  1.08E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -5.7375152357E-06  1.08E+01  5.16E-01  1.60E+00  2.40E-02  9.98E-01  1.00E+00  1.00E+00  
       2  -1.5856141122E-05  1.08E+01  3.59E-01  1.52E-01  8.13E-03  9.56E-02  3.10E+00  3.10E+00  
       3  -6.6665967786E-05  1.08E+01  3.23E-01  3.53E-01  5.52E-03  2.47E-01  4.42E+00  1.18E+01  
       4  -2.5508730956E-04  1.10E+01  2.10E-01  3.43E-01  3.53E-03  3.70E-01  4.42E+00  2.53E+01  
       5  -3.4193151125E-04  1.11E+01  1.68E-01  1.38E-01  2.81E-03  1.85E-01  4.42E+00  1.50E+01  
       6  -4.1286702337E-04  1.11E+01  1.58E-01  9.33E-02  2.63E-03  1.34E-01  4.42E+00  2.53E+01  
       7  -6.7130081128E-04  1.12E+01  1.40E-01  1.62E-01  2.32E-03  2.62E-01  4.42E+00  2.50E+01  
       8  -9.6262989901E-04  1.13E+01  1.24E-01  8.16E-02  2.04E-03  1.49E-01  4.42E+00  2.69E+01  
       9  -1.1926696151E-03  1.14E+01  1.17E-01  6.75E-02  1.92E-03  1.30E-01  4.42E+00  2.50E+01  

      10  -1.5434935147E-03  1.14E+01  1.10E-01  6.68E-02  1.80E-03  1.37E-01  4.42E+00  3.19E+01  
      20  -1.0919906508E-02  1.26E+01  4.52E-02  2.31E-02  6.78E-04  1.16E-01  4.42E+00  5.61E+01  
      30  -2.8794182177E-02  1.35E+01  2.64E-02  8.29E-03  3.75E-04  7.11E-02  4.42E+00  1.01E+02  
      40  -4.6040244172E-02  1.42E+01  1.76E-02  8.12E-03  2.39E-04  1.05E-01  4.42E+00  1.46E+02  
      50  -6.1270665617E-02  1.48E+01  1.26E-02  5.29E-03  1.66E-04  9.48E-02  4.42E+00  2.20E+02  
      60  -7.3118743170E-02  1.54E+01  9.74E-03  3.10E-03  1.24E-04  7.19E-02  4.42E+00  3.06E+02  
      70  -7.9492465483E-02  1.59E+01  7.65E-03  1.75E-03  9.44E-05  5.19E-02  4.42E+00  3.58E+02  
      80  -7.3702104535E-02  1.66E+01  5.70E-03  1.95E-03  6.78E-05  7.72E-02  4.42E+00  5.39E+02  
      90  -5.7409965616E-02  1.72E+01  3.88E-03  1.48E-03  4.46E-05  8.61E-02  4.42E+00  6.29E+02  
     100  -3.3858276276E-02  1.77E+01  2.49E-03  1.01E-03  2.80E-05  9.20E-02  4.42E+00  6.29E+02  
     110  -1.7346563926E-02  1.79E+01  1.74E-03  8.59E-04  1.94E-05  1.12E-01  4.42E+00  6.29E+02  
     120  -4.7192839376E-03  1.80E+01  1.22E-03  2.95E-04  1.36E-05  5.47E-02  4.42E+00  6.29E+02  
     130   8.3443250353E-04  1.80E+01  9.65E-04  2.04E-04  1.07E-05  4.79E-02  4.42E+00  6.29E+02  
     140   3.9675341961E-03  1.81E+01  7.43E-04  2.62E-04  8.20E-06  7.98E-02  4.42E+00  6.29E+02  
     150   4.3754611988E-03  1.81E+01  5.68E-04  2.08E-04  6.25E-06  8.28E-02  4.42E+00  6.29E+02  
     160   3.1441579571E-03  1.81E+01  4.12E-04  1.87E-04  4.53E-06  1.03E-01  4.42E+00  6.29E+02  
     170   1.5437228014E-03  1.81E+01  2.87E-04  1.47E-04  3.15E-06  1.16E-01  4.42E+00  6.29E+02  
     180   7.1447814110E-04  1.81E+01  2.27E-04  6.89E-05  2.49E-06  6.87E-02  4.42E+00  6.29E+02  
     190   1.9137235701E-04  1.82E+01  1.76E-04  1.00E-04  1.93E-06  1.29E-01  4.42E+00  6.29E+02  
     200   1.0158468417E-04  1.82E+01  1.32E-04  3.63E-05  1.45E-06  6.23E-02  4.42E+00  7.78E+02  
     210   2.7604313412E-04  1.82E+01  9.69E-05  3.63E-05  1.07E-06  8.47E-02  4.42E+00  7.78E+02  
     220   5.4646004509E-04  1.82E+01  7.15E-05  2.48E-05  7.86E-07  7.85E-02  4.42E+00  7.78E+02  
     230   7.4098350750E-04  1.82E+01  6.11E-05  1.76E-05  6.71E-07  6.53E-02  4.42E+00  7.78E+02  
     240   9.1922736379E-04  1.82E+01  5.45E-05  1.28E-05  5.99E-07  5.31E-02  4.42E+00  7.78E+02  
     250   1.0680220133E-03  1.82E+01  4.88E-05  8.63E-06  5.36E-07  4.01E-02  4.42E+00  7.78E+02  
     260   1.1196621778E-03  1.82E+01  4.47E-05  9.78E-06  4.91E-07  4.95E-02  4.42E+00  1.17E+03  
     270   1.0740769003E-03  1.82E+01  4.03E-05  1.20E-05  4.42E-07  6.77E-02  4.42E+00  1.80E+03  
     280   9.5790929446E-04  1.82E+01  3.39E-05  1.39E-05  3.73E-07  9.27E-02  4.42E+00  2.38E+03  
     290   8.9860068553E-04  1.82E+01  2.81E-05  6.79E-06  3.09E-07  5.47E-02  4.42E+00  2.38E+03  
     300   9.1589483420E-04  1.82E+01  2.27E-05  3.55E-06  2.49E-07  3.54E-02  4.42E+00  2.38E+03  
     310   9.7620975062E-04  1.82E+01  1.71E-05  3.91E-06  1.87E-07  5.18E-02  4.42E+00  2.38E+03  
     320   1.0207501895E-03  1.82E+01  1.28E-05  7.70E-06  1.40E-07  1.36E-01  4.42E+00  2.38E+03  
     330   1.0389219710E-03  1.82E+01  9.33E-06  3.54E-06  1.02E-07  8.58E-02  4.42E+00  2.38E+03  
     331   1.0390339435E-03  1.82E+01  8.96E-06  4.37E-06  9.85E-08  1.10E-01  4.42E+00  2.12E+03  

 Exit  MINRES-QLP.       istop =  4              itn    =     331
 Exit  MINRES-QLP.       Anorm =  4.4187E+00     Acond  =  2.1222E+03
 Exit  MINRES-QLP.       rnorm =  8.9648E-06     Arnorm =  4.3702E-06
 Exit  MINRES-QLP.       xnorm =  1.8163E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   1000  Itns =    331  test(r) = 9.85E-08  test(Ar) = 1.10E-01


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   3002      ||b||    =   4.76E+01   precon   =   F
 itnlim   =   9006      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  4.76E+01  1.63E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.5095809991E-02  1.07E+01  3.01E+01  3.17E+01  3.56E-01  2.51E-01  3.43E+00  1.00E+00  
       2  -3.2886088598E-02  1.20E+01  2.62E+01  2.42E+01  2.68E-01  2.20E-01  4.19E+00  3.99E+00  
       3   7.0503609215E-03  3.16E+01  2.56E-01  2.42E-01  1.42E-03  2.25E-01  4.19E+00  4.70E+00  
       4  -3.4629773180E-03  3.16E+01  2.43E-01  3.36E-01  1.35E-03  3.30E-01  4.19E+00  4.70E+00  
       5  -1.0784826263E-02  3.16E+01  2.02E-01  2.37E-01  1.12E-03  2.79E-01  4.19E+00  4.70E+00  
       6   3.0901994278E-03  3.16E+01  8.45E-02  6.24E-02  4.69E-04  1.76E-01  4.19E+00  5.82E+00  
       7  -3.5038447189E-03  3.16E+01  6.62E-02  3.98E-02  3.67E-04  1.44E-01  4.19E+00  5.56E+00  
       8   2.5737437482E-04  3.16E+01  3.87E-02  6.97E-02  2.15E-04  4.30E-01  4.19E+00  6.81E+00  
       9   7.8545286878E-04  3.16E+01  3.75E-02  3.84E-02  2.08E-04  2.45E-01  4.19E+00  5.56E+00  

      10  -1.1732696266E-03  3.16E+01  2.56E-02  1.37E-02  1.42E-04  1.27E-01  4.19E+00  6.81E+00  
      20   1.2695677421E-04  3.16E+01  1.27E-03  8.77E-04  7.04E-06  1.65E-01  4.19E+00  8.65E+00  
      30   1.4047775696E-04  3.16E+01  1.32E-04  2.04E-04  7.32E-07  3.69E-01  4.19E+00  8.98E+00  
      36   1.4078005482E-04  3.16E+01  2.15E-05  1.36E-05  1.19E-07  1.52E-01  4.19E+00  9.37E+00  
      37   1.4078141250E-04  3.16E+01  1.63E-05  9.72E-06  9.07E-08  1.42E-01  4.19E+00  9.25E+00  

 Exit  MINRES-QLP.       istop =  4              itn    =      37
 Exit  MINRES-QLP.       Anorm =  4.1886E+00     Acond  =  9.2486E+00
 Exit  MINRES-QLP.       rnorm =  1.6329E-05     Arnorm =  9.7190E-06
 Exit  MINRES-QLP.       xnorm =  3.1640E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   3002  Itns =     37  test(r) = 9.07E-08  test(Ar) = 1.42E-01


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    100      ||b||    =   1.27E+01   precon   =   F
 itnlim   =    300      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.27E+01  3.67E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   7.1292561616E-02  3.99E+00  5.56E+00  1.01E+01  2.29E-01  6.12E-01  2.88E+00  1.00E+00  
       2   5.7313736298E-03  4.36E+00  2.50E+00  2.60E+00  9.75E-02  3.51E-01  2.96E+00  1.63E+00  
       3   6.8977481362E-02  4.97E+00  8.02E-01  3.21E-01  2.92E-02  1.35E-01  2.96E+00  2.90E+00  
       4   4.1250892392E-02  5.25E+00  1.05E-01  5.24E-03  3.69E-03  1.69E-02  2.96E+00  7.55E+00  
       5  -3.0569749752E-01  5.50E+00  5.45E-02  1.45E-03  1.88E-03  8.99E-03  2.96E+00  5.94E+01  
       6  -1.3298717695E-02  5.48E+00  4.58E-02  1.55E-03  1.58E-03  1.14E-02  2.96E+00  1.08E+02  
       7  -6.3791433468E-04  5.81E+00  8.72E-04  3.54E-06  2.91E-05  1.37E-03  2.96E+00  1.01E+02  
       8  -7.5954573829E-02  5.81E+00  4.25E-04  1.04E-05  1.42E-05  8.30E-03  2.96E+00  7.30E+02  
       9  -7.5641972424E-02  5.81E+00  4.24E-04  6.37E-05  1.42E-05  5.02E-02  2.96E+00  2.07E+02  

      10  -5.3013512065E-02  5.81E+00  3.78E-04  3.21E-04  1.26E-05  2.84E-01  2.99E+00  1.02E+03  
      13   3.4278308282E-02  5.82E+00  7.14E-06  1.10E-07  2.37E-07  5.13E-03  2.99E+00  2.00E+03  
      14   3.3278289663E-03  5.82E+00  1.72E-07  2.16E-11  5.72E-09  4.20E-05  2.99E+00  3.85E+04  

 Exit  MINRES-QLP.       istop =  4              itn    =      14
 Exit  MINRES-QLP.       Anorm =  2.9898E+00     Acond  =  3.8549E+04
 Exit  MINRES-QLP.       rnorm =  1.7234E-07     Arnorm =  2.1629E-11
 Exit  MINRES-QLP.       xnorm =  5.8168E+00
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    100  Itns =     14  test(r) = 5.72E-09  test(Ar) = 4.20E-05


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   3200      ||b||    =   1.49E-01   precon   =   F
 itnlim   =   9600      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.49E-01  4.82E-02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.1531202086E-04  1.02E-01  1.45E-01  2.48E-02  7.97E-01  8.19E-02  3.24E-01  1.00E+00  
       2   8.4297887651E-04  6.73E-01  1.38E-01  2.31E-02  8.89E-02  7.97E-02  2.09E+00  2.80E+01  
       3  -2.0338222834E-04  2.20E+00  1.27E-01  1.61E-02  2.67E-02  6.09E-02  2.09E+00  5.69E+01  
       4   1.2473137596E-03  4.19E+00  1.14E-01  2.39E-02  1.28E-02  1.00E-01  2.09E+00  7.67E+01  
       5  -3.5415569230E-05  5.74E+00  1.05E-01  1.29E-02  8.66E-03  5.88E-02  2.09E+00  7.35E+01  
       6   3.4704919544E-04  8.74E+00  8.94E-02  6.51E-03  4.85E-03  3.48E-02  2.09E+00  1.15E+02  
       7   2.9879521092E-04  1.17E+01  7.51E-02  1.15E-02  3.04E-03  7.32E-02  2.09E+00  1.33E+02  
       8   3.2019852514E-04  1.27E+01  7.04E-02  1.01E-02  2.63E-03  6.87E-02  2.09E+00  1.15E+02  
       9   3.1428209012E-04  1.49E+01  6.06E-02  3.10E-02  1.94E-03  2.45E-01  2.09E+00  1.34E+02  

      10   3.1152863873E-04  1.55E+01  5.78E-02  6.61E-03  1.78E-03  5.47E-02  2.09E+00  1.15E+02  
      20   3.1240659408E-04  2.57E+01  1.30E-02  7.99E-04  2.41E-04  2.94E-02  2.09E+00  2.29E+02  
      30   3.1249942115E-04  2.77E+01  5.08E-03  4.21E-04  8.46E-05  3.84E-02  2.16E+00  4.41E+02  
      40   3.1266745524E-04  2.87E+01  2.39E-03  5.57E-05  3.85E-05  1.08E-02  2.16E+00  6.14E+02  
      50   3.1249999485E-04  2.91E+01  1.17E-03  2.09E-05  1.87E-05  8.24E-03  2.16E+00  7.35E+02  
      60   3.1475392179E-04  2.93E+01  5.58E-04  4.79E-05  8.81E-06  3.98E-02  2.16E+00  9.16E+02  
      70   3.1249997510E-04  2.94E+01  2.93E-04  9.12E-06  4.61E-06  1.44E-02  2.16E+00  1.04E+03  
      80   3.1247023930E-04  2.94E+01  1.86E-04  5.78E-05  2.93E-06  1.44E-01  2.16E+00  1.04E+03  
      90   3.1249977129E-04  2.94E+01  1.06E-04  2.75E-05  1.67E-06  1.20E-01  2.16E+00  1.47E+03  
     100   3.1249997183E-04  2.94E+01  7.44E-05  8.43E-07  1.17E-06  5.25E-03  2.16E+00  1.47E+03  
     110   3.1250274472E-04  2.94E+01  4.78E-05  2.01E-06  7.50E-07  1.95E-02  2.16E+00  2.15E+03  
     120   3.1249999996E-04  2.94E+01  2.98E-05  3.68E-07  4.68E-07  5.72E-03  2.16E+00  2.15E+03  
     130   3.1262204515E-04  2.94E+01  2.19E-05  2.81E-06  3.43E-07  5.94E-02  2.16E+00  2.15E+03  
     140   3.1249999977E-04  2.94E+01  1.58E-05  4.04E-07  2.48E-07  1.18E-02  2.16E+00  2.57E+03  
     150   3.1249622848E-04  2.94E+01  1.18E-05  2.88E-07  1.86E-07  1.13E-02  2.16E+00  3.12E+03  
     160   3.1250003687E-04  2.94E+01  8.77E-06  6.95E-07  1.38E-07  3.67E-02  2.16E+00  3.12E+03  
     170   3.1249999741E-04  2.94E+01  6.74E-06  2.08E-07  1.06E-07  1.43E-02  2.16E+00  3.36E+03  
     171   3.1250000024E-04  2.94E+01  6.40E-06  2.86E-07  1.00E-07  2.07E-02  2.16E+00  3.72E+03  
     172   3.1249999994E-04  2.94E+01  6.33E-06  1.68E-07  9.93E-08  1.23E-02  2.16E+00  3.36E+03  

 Exit  MINRES-QLP.       istop =  4              itn    =     172
 Exit  MINRES-QLP.       Anorm =  2.1589E+00     Acond  =  3.3551E+03
 Exit  MINRES-QLP.       rnorm =  6.3267E-06     Arnorm =  1.6831E-07
 Exit  MINRES-QLP.       xnorm =  2.9436E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   3200  Itns =    172  test(r) = 9.93E-08  test(Ar) = 1.23E-02


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   2003      ||b||    =   2.02E+02   precon   =   F
 itnlim   =   6009      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.02E+02  1.51E+04  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   9.2353159564E-06  2.02E+00  1.34E+02  1.36E+04  3.81E-01  5.56E-01  7.45E+01  1.00E+00  
       2   2.2330539583E-05  3.98E+00  8.31E+01  7.77E+03  8.99E-02  5.14E-01  1.82E+02  3.56E+00  
       3   3.2664385836E-05  4.88E+00  6.31E+01  3.62E+03  5.80E-02  3.16E-01  1.82E+02  3.57E+00  
       4   5.2946437598E-05  6.06E+00  4.53E+01  3.50E+03  3.48E-02  4.26E-01  1.82E+02  6.43E+00  
       5   7.0020752790E-05  6.85E+00  3.47E+01  1.59E+03  2.40E-02  2.53E-01  1.82E+02  6.50E+00  
       6   9.2506321017E-05  7.57E+00  2.73E+01  1.42E+03  1.73E-02  2.87E-01  1.82E+02  8.87E+00  
       7   1.1028481235E-04  8.02E+00  2.36E+01  7.04E+02  1.43E-02  1.64E-01  1.82E+02  9.12E+00  
       8   1.4011363991E-04  8.62E+00  2.04E+01  8.32E+02  1.15E-02  2.25E-01  1.82E+02  1.52E+01  
       9   1.6347126462E-04  9.07E+00  1.85E+01  6.21E+02  1.00E-02  1.85E-01  1.82E+02  1.56E+01  

      10   2.0208214053E-04  9.78E+00  1.62E+01  7.44E+02  8.21E-03  2.52E-01  1.82E+02  2.33E+01  
      20   4.8286703982E-04  1.53E+01  5.14E+00  1.68E+02  1.73E-03  1.80E-01  1.82E+02  4.34E+01  
      30   5.2220302069E-04  1.79E+01  2.14E+00  4.74E+01  6.21E-04  1.22E-01  1.82E+02  7.64E+01  
      40   4.8431337653E-04  1.96E+01  9.35E-01  1.46E+01  2.35E-04  8.09E-02  1.93E+02  1.46E+02  
      50   5.0668973001E-04  2.04E+01  4.99E-01  1.85E+01  1.21E-04  1.92E-01  1.93E+02  2.06E+02  
      60   5.0025152261E-04  2.07E+01  3.09E-01  3.13E+00  6.68E-05  4.73E-02  2.14E+02  2.29E+02  
      70   4.9634163016E-04  2.10E+01  1.98E-01  4.37E+00  4.23E-05  1.03E-01  2.14E+02  2.98E+02  
      80   5.0121606830E-04  2.11E+01  1.43E-01  2.05E+00  2.90E-05  6.40E-02  2.24E+02  3.37E+02  
      90   4.9890702432E-04  2.12E+01  8.98E-02  1.63E+00  1.81E-05  8.07E-02  2.24E+02  4.78E+02  
     100   4.9911282546E-04  2.13E+01  5.81E-02  4.17E-01  1.17E-05  3.20E-02  2.24E+02  4.81E+02  
     110   4.9966871657E-04  2.13E+01  4.40E-02  7.88E-01  8.84E-06  7.99E-02  2.24E+02  4.98E+02  
     120   4.9883041373E-04  2.13E+01  3.12E-02  3.28E-01  6.25E-06  4.69E-02  2.24E+02  6.96E+02  
     130   4.9948046653E-04  2.14E+01  2.37E-02  1.93E-01  4.75E-06  3.63E-02  2.24E+02  6.96E+02  
     140   4.9919735013E-04  2.14E+01  1.78E-02  1.84E-01  3.56E-06  4.62E-02  2.24E+02  9.10E+02  
     150   4.9918022398E-04  2.14E+01  1.36E-02  2.10E-01  2.73E-06  6.85E-02  2.24E+02  9.10E+02  
     160   4.9932758322E-04  2.14E+01  1.05E-02  7.88E-02  2.10E-06  3.35E-02  2.24E+02  9.10E+02  
     170   4.9916318052E-04  2.14E+01  8.59E-03  1.65E-01  1.72E-06  8.58E-02  2.24E+02  9.10E+02  
     180   4.9928243373E-04  2.14E+01  7.20E-03  5.29E-02  1.44E-06  3.27E-02  2.24E+02  1.06E+03  
     190   4.9925687380E-04  2.14E+01  5.79E-03  7.69E-02  1.16E-06  5.93E-02  2.24E+02  1.14E+03  
     200   4.9922086163E-04  2.14E+01  4.74E-03  1.79E-02  9.47E-07  1.69E-02  2.24E+02  1.35E+03  
     210   4.9928113302E-04  2.14E+01  3.81E-03  3.51E-02  7.62E-07  4.11E-02  2.24E+02  1.38E+03  
     220   4.9922815702E-04  2.14E+01  2.95E-03  2.28E-02  5.90E-07  3.45E-02  2.24E+02  1.75E+03  
     230   4.9927105709E-04  2.14E+01  2.44E-03  1.07E-02  4.88E-07  1.95E-02  2.24E+02  1.75E+03  
     240   4.9924605824E-04  2.14E+01  1.97E-03  3.21E-02  3.95E-07  7.26E-02  2.24E+02  1.75E+03  
     250   4.9924965523E-04  2.14E+01  1.54E-03  2.54E-02  3.08E-07  7.06E-02  2.24E+02  2.01E+03  
     260   4.9925099164E-04  2.14E+01  1.25E-03  1.02E-02  2.41E-07  3.48E-02  2.34E+02  2.10E+03  
     270   4.9924632569E-04  2.14E+01  1.09E-03  3.02E-02  2.09E-07  1.19E-01  2.34E+02  2.10E+03  
     280   4.9925680067E-04  2.14E+01  9.15E-04  1.08E-02  1.76E-07  5.06E-02  2.34E+02  2.61E+03  
     290   4.9924631702E-04  2.14E+01  7.48E-04  1.80E-02  1.44E-07  1.03E-01  2.34E+02  2.61E+03  
     300   4.9925613118E-04  2.14E+01  6.13E-04  3.80E-03  1.18E-07  2.65E-02  2.34E+02  2.61E+03  
     306   4.9925134747E-04  2.14E+01  5.23E-04  4.14E-03  1.01E-07  3.39E-02  2.34E+02  2.61E+03  
     307   4.9924999813E-04  2.14E+01  5.09E-04  2.62E-03  9.77E-08  2.20E-02  2.34E+02  2.56E+03  

 Exit  MINRES-QLP.       istop =  4              itn    =     307
 Exit  MINRES-QLP.       Anorm =  2.3372E+02     Acond  =  2.5647E+03
 Exit  MINRES-QLP.       rnorm =  5.0852E-04     Arnorm =  2.6170E-03
 Exit  MINRES-QLP.       xnorm =  2.1402E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   2003  Itns =    307  test(r) = 9.77E-08  test(Ar) = 2.20E-02


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   5321      ||b||    =   2.09E+06   precon   =   F
 itnlim   =  15963      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  2.09E+06  9.77E+12  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   6.8626076772E-05  4.46E-01  3.58E+03  4.16E+06  8.58E-04  2.48E-04  4.68E+06  1.00E+00  
       2   1.2471054195E-01  1.46E+00  3.20E+03  8.81E+05  3.58E-04  5.88E-05  4.68E+06  4.03E+03  
       3  -1.3966003092E-01  1.65E+00  3.11E+03  1.20E+06  3.18E-04  8.23E-05  4.68E+06  1.70E+04  
       4  -1.0726612162E-01  1.74E+00  3.04E+03  3.03E+09  2.98E-04  2.13E-01  4.68E+06  4.03E+03  
       5   3.5908869431E-01  8.60E+00  1.68E+03  1.40E+05  3.96E-05  1.78E-05  4.68E+06  1.70E+04  
       6   4.8975518979E-01  8.63E+00  1.68E+03  1.40E+05  3.95E-05  1.78E-05  4.68E+06  5.63E+04  
       7   4.3556339851E-01  1.37E+01  1.24E+03  9.54E+05  1.88E-05  1.64E-04  4.68E+06  3.84E+04  
       8   4.3712836117E-01  1.37E+01  1.24E+03  1.99E+07  1.88E-05  3.42E-03  4.68E+06  5.63E+04  
       9   5.8519093347E-01  1.37E+01  1.24E+03  9.27E+04  1.87E-05  1.60E-05  4.68E+06  6.07E+04  

      10  -4.3218507190E-01  1.63E+01  1.09E+03  1.42E+05  1.39E-05  2.76E-05  4.68E+06  5.63E+04  
      20  -2.0034834352E-01  3.01E+01  1.96E+02  1.58E+08  1.38E-06  1.72E-01  4.68E+06  8.99E+04  
      30  -8.8314045495E-02  3.17E+01  7.39E+01  2.46E+03  4.91E-07  7.10E-06  4.68E+06  4.92E+05  
      40  -1.7820650817E-01  3.30E+01  5.21E+01  4.50E+05  3.33E-07  1.84E-03  4.68E+06  4.92E+05  
      50  -1.5841038540E-01  3.43E+01  4.05E+01  8.89E+02  2.49E-07  4.68E-06  4.68E+06  5.26E+05  
      60  -1.2956840390E-01  3.59E+01  2.61E+01  7.04E+04  1.54E-07  5.75E-04  4.68E+06  6.71E+05  
      63  -6.6402376595E-02  3.64E+01  2.10E+01  2.75E+03  1.22E-07  2.79E-05  4.68E+06  5.02E+05  
      64  -2.5462266087E-02  3.68E+01  1.69E+01  1.34E+05  9.69E-08  1.70E-03  4.68E+06  6.71E+05  

 Exit  MINRES-QLP.       istop =  4              itn    =      64
 Exit  MINRES-QLP.       Anorm =  4.6820E+06     Acond  =  6.7135E+05
 Exit  MINRES-QLP.       rnorm =  1.6903E+01     Arnorm =  1.3419E+05
 Exit  MINRES-QLP.       xnorm =  3.6812E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   5321  Itns =     64  test(r) = 9.68E-08  test(Ar) = 1.70E-03


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   1000      ||b||    =   3.16E+01   precon   =   F
 itnlim   =   3000      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  3.16E+01  1.78E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1  -1.0113388840E+00  3.20E+01  2.60E+01  6.59E-01  5.25E-01  2.53E-02  5.61E-01  1.00E+00  
       2  -1.0030284512E+01  2.62E+02  2.54E+01  1.68E+01  8.66E-02  2.10E-01  1.00E+00  4.19E+01  
       3  -2.4375156636E+01  6.34E+02  2.45E+01  6.21E+00  1.21E-02  8.06E-02  3.15E+00  1.70E+02  
       4  -2.6527022178E+01  6.89E+02  2.43E+01  3.73E+00  1.11E-02  3.81E-02  3.15E+00  1.32E+02  
       5  -5.7136415818E+01  1.45E+03  2.30E+01  9.02E+00  3.91E-03  9.73E-02  4.03E+00  3.89E+02  
       6  -6.1889740504E+01  1.57E+03  2.28E+01  4.41E+00  3.59E-03  4.61E-02  4.03E+00  1.69E+02  
       7  -7.1305730145E+01  1.80E+03  2.25E+01  1.05E+01  2.97E-03  1.11E-01  4.19E+00  4.05E+02  
       8  -8.4963427543E+01  2.13E+03  2.20E+01  3.58E+00  2.46E-03  3.89E-02  4.19E+00  3.02E+02  
       9  -9.0887753959E+01  2.27E+03  2.18E+01  7.34E+00  2.29E-03  8.03E-02  4.19E+00  4.05E+02  

      10  -1.0137500884E+02  2.52E+03  2.15E+01  5.92E+00  2.04E-03  6.56E-02  4.19E+00  3.02E+02  
      20  -2.8978731060E+02  6.99E+03  1.67E+01  6.42E+00  5.69E-04  9.20E-02  4.19E+00  4.86E+02  
      30  -4.5674719740E+02  1.15E+04  1.16E+01  3.94E+00  2.40E-04  8.13E-02  4.19E+00  5.64E+02  
      40  -5.2064569767E+02  1.41E+04  8.02E+00  3.61E+00  1.36E-04  1.07E-01  4.19E+00  5.64E+02  
      50  -5.2257037745E+02  1.55E+04  5.73E+00  2.42E+00  8.82E-05  1.01E-01  4.19E+00  5.64E+02  
      60  -4.9959178774E+02  1.62E+04  4.62E+00  1.54E+00  6.82E-05  7.94E-02  4.19E+00  5.64E+02  
      70  -4.7217827253E+02  1.66E+04  3.98E+00  1.26E+00  5.73E-05  7.57E-02  4.19E+00  5.64E+02  
      80  -4.4788740471E+02  1.69E+04  3.53E+00  1.29E+00  4.98E-05  8.70E-02  4.19E+00  7.00E+02  
      90  -4.3135085595E+02  1.73E+04  3.13E+00  7.08E-01  4.31E-05  5.40E-02  4.19E+00  7.22E+02  
     100  -4.2966997766E+02  1.77E+04  2.81E+00  5.25E-01  3.79E-05  4.46E-02  4.19E+00  9.91E+02  
     110  -4.3676434930E+02  1.80E+04  2.65E+00  3.51E-01  3.52E-05  3.16E-02  4.19E+00  9.91E+02  
     120  -4.4744347956E+02  1.82E+04  2.53E+00  2.70E-01  3.31E-05  2.55E-02  4.19E+00  1.26E+03  
     130  -4.5627662903E+02  1.85E+04  2.45E+00  2.65E-01  3.16E-05  2.59E-02  4.19E+00  1.62E+03  
     140  -4.6518441837E+02  1.89E+04  2.34E+00  3.32E-01  2.95E-05  3.38E-02  4.19E+00  2.38E+03  
     150  -4.6634562041E+02  1.94E+04  2.25E+00  4.07E-01  2.77E-05  4.32E-02  4.19E+00  3.07E+03  
     160  -4.6180837658E+02  1.98E+04  2.19E+00  1.94E-01  2.64E-05  2.11E-02  4.19E+00  3.07E+03  
     170  -4.5554798230E+02  2.02E+04  2.15E+00  2.16E-01  2.47E-05  2.32E-02  4.32E+00  3.31E+03  
     180  -4.4952811060E+02  2.07E+04  2.12E+00  1.48E-01  2.37E-05  1.62E-02  4.32E+00  3.31E+03  
     190  -4.4626670035E+02  2.13E+04  2.08E+00  2.38E-01  2.25E-05  2.65E-02  4.32E+00  4.81E+03  
     200  -4.4757482646E+02  2.21E+04  2.04E+00  1.61E-01  2.14E-05  1.83E-02  4.32E+00  5.42E+03  
     210  -4.5087760840E+02  2.26E+04  2.02E+00  8.68E-02  2.06E-05  9.96E-03  4.32E+00  5.43E+03  
     220  -4.5379068149E+02  2.29E+04  2.01E+00  7.79E-02  2.02E-05  8.98E-03  4.32E+00  5.43E+03  
     230  -4.5465192096E+02  2.31E+04  2.00E+00  1.53E-02  2.01E-05  1.77E-03  4.32E+00  5.57E+03  
     240  -4.5492015728E+02  2.33E+04  2.00E+00  2.79E-02  1.99E-05  3.22E-03  4.32E+00  9.58E+03  
     250  -4.5476867276E+02  2.34E+04  2.00E+00  1.23E-02  1.97E-05  1.43E-03  4.32E+00  1.18E+04  
     260  -4.5456633506E+02  2.36E+04  2.00E+00  7.97E-03  1.96E-05  9.21E-04  4.32E+00  1.38E+04  
     270  -4.5444888954E+02  2.38E+04  2.00E+00  1.10E-02  1.94E-05  1.27E-03  4.32E+00  1.84E+04  
     280  -4.5439609531E+02  2.40E+04  2.00E+00  8.16E-03  1.93E-05  9.43E-04  4.32E+00  3.34E+04  
     290  -4.5441951718E+02  2.43E+04  2.00E+00  3.75E-03  1.91E-05  4.34E-04  4.32E+00  5.87E+04  
     300  -4.5448187475E+02  2.45E+04  2.00E+00  4.94E-03  1.89E-05  5.72E-04  4.32E+00  6.90E+04  
     310  -4.5453305692E+02  2.47E+04  2.00E+00  1.87E-03  1.87E-05  2.16E-04  4.32E+00  7.56E+04  
     320  -4.5455796347E+02  2.49E+04  2.00E+00  2.73E-03  1.86E-05  3.16E-04  4.32E+00  1.55E+05  
     330  -4.5455410211E+02  2.52E+04  2.00E+00  2.57E-03  1.84E-05  2.98E-04  4.32E+00  1.55E+05  
     340  -4.5453379756E+02  2.54E+04  2.00E+00  1.48E-03  1.82E-05  1.71E-04  4.32E+00  1.83E+05  
     350  -4.5450937864E+02  2.56E+04  2.00E+00  7.75E-04  1.81E-05  8.97E-05  4.32E+00  2.62E+05  
     360  -4.5449213221E+02  2.58E+04  2.00E+00  1.07E-03  1.79E-05  1.24E-04  4.32E+00  3.80E+05  
     370  -4.5448493452E+02  2.61E+04  2.00E+00  7.06E-04  1.78E-05  8.17E-05  4.32E+00  4.96E+05  
     380  -4.5448822817E+02  2.62E+04  2.00E+00  2.91E-04  1.76E-05  3.36E-05  4.32E+00  7.19E+05  
     390  -4.5449440525E+02  2.64E+04  2.00E+00  1.74E-04  1.75E-05  2.02E-05  4.32E+00  9.34E+05  
     400  -4.5449868610E+02  2.65E+04  2.00E+00  8.34E-05  1.74E-05  9.65E-06  4.32E+00  2.15E+06  
     410  -4.5450153625E+02  2.67E+04  2.00E+00  3.08E-05  1.60E-05  3.29E-06  4.68E+00  3.22E+06  
     420  -4.5450290041E+02  2.68E+04  2.00E+00  1.40E-05  1.59E-05  1.50E-06  4.68E+00  5.61E+06  
     428  -4.5450339131E+02  2.69E+04  2.00E+00  9.65E-06  1.59E-05  1.03E-06  4.68E+00  1.40E+07  
     430  -4.5450343982E+02  2.69E+04  2.00E+00  2.13E-05  1.58E-05  2.27E-06  4.68E+00  1.40E+07  
     440  -4.5450352485E+02  2.71E+04  2.00E+00  7.85E-06  1.57E-05  8.38E-07  4.68E+00  2.09E+07  
     450  -4.5450342357E+02  2.73E+04  2.00E+00  6.78E-06  1.56E-05  7.24E-07  4.68E+00  3.49E+07  
     460  -4.5450329513E+02  2.75E+04  2.00E+00  6.98E-06  1.55E-05  7.44E-07  4.68E+00  5.11E+07  
     470  -4.5450317658E+02  2.77E+04  2.00E+00  5.62E-06  1.54E-05  6.00E-07  4.68E+00  8.51E+07  
     480  -4.5450312769E+02  2.79E+04  2.00E+00  2.05E-06  1.53E-05  2.19E-07  4.68E+00  1.01E+08  
     483  -4.5450312605E+02  2.80E+04  2.00E+00  8.96E-07  1.53E-05  9.56E-08  4.68E+00  1.19E+08  
     484  -4.5450312635E+02  2.80E+04  2.00E+00  8.28E-07  1.53E-05  8.84E-08  4.68E+00  1.19E+08  

 Exit  MINRES-QLP.       istop =  6              itn    =     484
 Exit  MINRES-QLP.       Anorm =  4.6847E+00     Acond  =  1.1860E+08
 Exit  MINRES-QLP.       rnorm =  2.0000E+00     Arnorm =  8.2801E-07
 Exit  MINRES-QLP.       xnorm =  2.7990E+04
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =   1000  Itns =    484  test(r) = 1.52E-05  test(Ar) = 8.84E-08


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   3002      ||b||    =   5.48E+01   precon   =   F
 itnlim   =   9006      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  5.48E+01  1.00E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   4.0002222703E-01  2.19E+01  3.74E+01  6.99E+01  3.95E-01  4.83E-01  1.83E+00  1.00E+00  
       2   1.2215540930E+00  5.42E+01  1.87E+01  2.06E+01  7.07E-02  2.85E-01  3.87E+00  4.04E+00  
       3   6.6717832041E-01  5.92E+01  1.23E+00  3.42E-01  4.35E-03  7.18E-02  3.87E+00  4.01E+00  
       4   1.9764618903E+00  5.92E+01  1.11E+00  3.90E-01  3.90E-03  9.11E-02  3.87E+00  1.39E+01  
       5   2.0936119852E+00  5.93E+01  1.10E+00  2.25E-01  3.89E-03  5.27E-02  3.87E+00  1.23E+01  
       6   1.6865849141E+00  5.92E+01  1.10E+00  1.25E-01  3.87E-03  2.93E-02  3.87E+00  1.93E+01  
       7   2.6660719168E+00  5.93E+01  1.08E+00  8.73E-02  3.82E-03  2.08E-02  3.87E+00  3.22E+01  
       8   2.0569139364E+00  5.93E+01  1.08E+00  7.80E-02  3.81E-03  1.87E-02  3.87E+00  3.77E+01  
       9   2.5257272906E+00  5.93E+01  1.08E+00  1.76E-01  3.80E-03  4.21E-02  3.87E+00  3.91E+01  

      10   3.2288883506E+00  5.93E+01  1.08E+00  4.82E-02  3.79E-03  1.16E-02  3.87E+00  6.61E+01  
      20   5.2488359533E+00  5.96E+01  1.07E+00  3.18E-03  3.77E-03  7.65E-04  3.87E+00  1.48E+03  
      30   7.2351573668E+00  6.00E+01  1.07E+00  2.72E-04  3.71E-03  6.46E-05  3.92E+00  1.67E+04  
      40   9.7920079275E+00  6.08E+01  1.07E+00  1.54E-05  3.67E-03  3.66E-06  3.92E+00  2.42E+05  
      50   1.1709305370E+01  6.15E+01  1.07E+00  9.84E-07  3.64E-03  2.34E-07  3.92E+00  4.65E+06  
      53   1.2324855916E+01  6.17E+01  1.07E+00  2.41E-07  3.62E-03  5.73E-08  3.92E+00  4.65E+06  
      54   1.1680955576E+01  6.15E+01  1.07E+00  4.24E-07  3.62E-03  1.01E-07  3.92E+00  4.65E+06  

 Exit  MINRES-QLP.       istop =  6              itn    =      54
 Exit  MINRES-QLP.       Anorm =  3.9169E+00     Acond  =  4.6508E+06
 Exit  MINRES-QLP.       rnorm =  1.0746E+00     Arnorm =  4.2432E-07
 Exit  MINRES-QLP.       xnorm =  6.1452E+01
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =   3002  Itns =     54  test(r) = 3.64E-03  test(Ar) = 1.01E-07


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =    100      ||b||    =   1.00E+01   precon   =   F
 itnlim   =    300      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  1.00E+01  2.44E+01  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   3.5876385529E-01  3.59E+00  4.87E+00  3.49E+00  2.60E-01  2.44E-01  2.44E+00  1.00E+00  
       2   1.2086782865E+00  7.28E+00  3.83E+00  1.57E-01  1.22E-01  1.40E-02  2.94E+00  4.55E+00  
       3   4.0376113896E+00  1.89E+01  3.79E+00  1.34E-01  5.77E-02  1.20E-02  2.94E+00  7.32E+01  
       4  -3.1166304101E+01  1.27E+02  5.11E-01  6.79E-04  1.33E-03  4.52E-04  2.94E+00  1.08E+02  
       5   1.1154346010E+02  3.97E+02  3.04E-02  3.02E-07  2.58E-05  3.37E-06  2.94E+00  2.23E+03  
       6   1.0380340946E+03  3.06E+03  5.92E-03  2.90E-03  6.58E-07  1.66E-01  2.94E+00  2.97E+05  
       7   1.0385552321E+03  3.06E+03  5.88E-03  1.55E-03  6.53E-07  8.94E-02  2.94E+00  7.04E+03  
       8   1.0391763033E+03  3.06E+03  5.83E-03  1.30E-05  6.47E-07  7.59E-04  2.94E+00  2.97E+05  
       9   1.0391753808E+03  3.06E+03  5.83E-03  1.39E-06  6.47E-07  8.12E-05  2.94E+00  7.04E+03  

      10   1.0396542566E+03  3.06E+03  5.83E-03  3.20E-05  6.47E-07  1.87E-03  2.94E+00  2.97E+05  
      11   3.4591021870E+03  1.12E+04  4.99E-04  2.38E-05  1.51E-08  1.62E-02  2.94E+00  5.76E+06  

 Exit  MINRES-QLP.       istop =  4              itn    =      11
 Exit  MINRES-QLP.       Anorm =  2.9419E+00     Acond  =  5.7608E+06
 Exit  MINRES-QLP.       rnorm =  4.9877E-04     Arnorm =  2.3754E-05
 Exit  MINRES-QLP.       xnorm =  1.1233E+04
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =    100  Itns =     11  test(r) = 1.51E-08  test(Ar) = 1.62E-02


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   3200      ||b||    =   5.66E+01   precon   =   F
 itnlim   =   9600      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  5.66E+01  6.13E+00  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   1.2943075678E+00  7.32E+01  5.60E+01  9.42E+00  8.68E-01  8.95E-02  1.08E-01  1.00E+00  
       2   3.3705128627E+00  3.46E+02  5.48E+01  8.50E+00  7.77E-02  8.26E-02  1.88E+00  4.46E+01  
       3  -2.0052367181E-01  1.03E+03  5.25E+01  4.69E+00  2.63E-02  4.76E-02  1.88E+00  8.17E+01  
       4   2.0349350237E+00  2.05E+03  4.98E+01  5.92E+00  1.28E-02  6.33E-02  1.88E+00  1.15E+02  
       5   5.1126386269E-01  2.81E+03  4.80E+01  4.38E+00  9.02E-03  4.86E-02  1.88E+00  1.09E+02  
       6   1.0500265035E+00  4.31E+03  4.50E+01  2.00E+00  5.52E-03  2.37E-02  1.88E+00  1.71E+02  
       7   9.9340825148E-01  6.19E+03  4.20E+01  2.12E+00  3.59E-03  2.68E-02  1.88E+00  2.20E+02  
       8   1.0086110361E+00  7.11E+03  4.08E+01  5.29E+00  3.04E-03  6.90E-02  1.88E+00  1.76E+02  
       9   1.0000459113E+00  8.42E+03  3.91E+01  6.23E+00  2.47E-03  8.47E-02  1.88E+00  2.20E+02  

      10   9.9847823403E-01  8.68E+03  3.88E+01  4.20E+00  2.37E-03  5.24E-02  1.88E+00  1.76E+02  
      20   9.9922362071E-01  2.62E+04  3.00E+01  4.48E-01  5.54E-04  7.23E-03  2.06E+00  8.77E+02  
      30   9.9999690415E-01  4.99E+04  2.73E+01  4.63E-01  2.55E-04  7.90E-03  2.15E+00  2.36E+03  
      40   1.0005785897E+00  7.62E+04  2.62E+01  2.05E-01  1.60E-04  3.63E-03  2.15E+00  3.12E+03  
      50   9.9999948222E-01  1.11E+05  2.57E+01  8.61E-02  1.07E-04  1.55E-03  2.16E+00  6.68E+03  
      60   1.1177204719E+00  1.65E+05  2.53E+01  3.18E-01  7.08E-05  5.80E-03  2.17E+00  1.22E+04  
      70   1.0000000120E+00  2.19E+05  2.51E+01  8.07E-02  5.28E-05  1.49E-03  2.17E+00  1.63E+04  
      80   9.6189406137E-01  2.74E+05  2.50E+01  1.19E-01  4.21E-05  2.21E-03  2.17E+00  2.03E+04  
      90   9.9999533190E-01  3.60E+05  2.49E+01  1.68E-01  3.19E-05  3.11E-03  2.17E+00  3.57E+04  
     100   9.9224546295E-01  4.13E+05  2.48E+01  1.05E-01  2.77E-05  1.96E-03  2.17E+00  3.57E+04  
     110   1.0000000661E+00  5.01E+05  2.48E+01  3.82E-01  2.28E-05  7.12E-03  2.17E+00  5.62E+04  
     120   1.0001690725E+00  6.05E+05  2.47E+01  1.23E-01  1.88E-05  2.29E-03  2.17E+00  6.90E+04  
     130   1.0004172944E+00  7.26E+05  2.47E+01  7.79E-02  1.57E-05  1.46E-03  2.17E+00  7.61E+04  
     140   9.9999986774E-01  8.35E+05  2.47E+01  2.18E-02  1.36E-05  4.09E-04  2.17E+00  8.55E+04  
     150   9.9268809605E-01  9.74E+05  2.46E+01  6.27E-02  1.17E-05  1.17E-03  2.17E+00  1.30E+05  
     160   9.9999998179E-01  1.10E+06  2.46E+01  2.54E-02  1.03E-05  4.77E-04  2.17E+00  1.30E+05  
     170   9.7562280728E-01  1.23E+06  2.46E+01  7.30E-02  9.21E-06  1.37E-03  2.17E+00  1.89E+05  
     180   9.9999981273E-01  1.39E+06  2.46E+01  2.56E-02  8.19E-06  4.80E-04  2.17E+00  2.10E+05  
     190   1.0000375591E+00  1.57E+06  2.46E+01  1.89E-02  7.25E-06  3.54E-04  2.17E+00  2.42E+05  
     200   1.0000103649E+00  1.73E+06  2.46E+01  2.02E-02  6.54E-06  3.79E-04  2.17E+00  2.42E+05  
     210   9.9999967308E-01  1.91E+06  2.46E+01  5.04E-03  5.93E-06  9.46E-05  2.17E+00  3.25E+05  
     220   9.9755791790E-01  2.13E+06  2.46E+01  1.15E-01  5.33E-06  2.15E-03  2.17E+00  3.26E+05  
     230   1.0000000082E+00  2.33E+06  2.46E+01  3.58E-02  4.87E-06  6.74E-04  2.17E+00  3.84E+05  
     240   9.7560831503E-01  2.54E+06  2.46E+01  6.50E-02  4.47E-06  1.22E-03  2.17E+00  3.84E+05  
     250   9.9999992064E-01  2.79E+06  2.46E+01  3.29E-02  4.07E-06  6.18E-04  2.17E+00  4.55E+05  
     260   1.0000974334E+00  3.04E+06  2.46E+01  6.17E-03  3.72E-06  1.16E-04  2.17E+00  5.33E+05  
     270   1.0000282874E+00  3.30E+06  2.45E+01  1.83E-02  3.44E-06  3.44E-04  2.17E+00  5.33E+05  
     280   9.9999982244E-01  3.57E+06  2.45E+01  1.09E-02  3.18E-06  2.05E-04  2.17E+00  6.49E+05  
     290   9.7317219725E-01  3.87E+06  2.45E+01  7.70E-02  2.93E-06  1.45E-03  2.17E+00  7.27E+05  
     300   9.9999999166E-01  4.14E+06  2.45E+01  2.18E-02  2.74E-06  4.11E-04  2.17E+00  7.27E+05  
     310   9.9997273899E-01  4.51E+06  2.45E+01  5.43E-03  2.51E-06  1.02E-04  2.17E+00  8.96E+05  
     320   9.9999688155E-01  4.86E+06  2.45E+01  1.97E-02  2.33E-06  3.70E-04  2.17E+00  9.46E+05  
     330   1.0000000682E+00  5.20E+06  2.45E+01  1.05E-02  2.18E-06  1.97E-04  2.17E+00  9.88E+05  
     340   1.0006853766E+00  5.58E+06  2.45E+01  1.36E-02  2.03E-06  2.56E-04  2.17E+00  9.88E+05  
     350   1.0000000038E+00  5.99E+06  2.45E+01  1.24E-02  1.89E-06  2.33E-04  2.17E+00  9.88E+05  
     360   1.0044687488E+00  6.38E+06  2.45E+01  1.39E-01  1.77E-06  2.61E-03  2.17E+00  1.16E+06  
     370   9.9999993128E-01  6.87E+06  2.45E+01  4.01E-02  1.65E-06  7.54E-04  2.17E+00  1.26E+06  
     380   9.9996786140E-01  7.25E+06  2.45E+01  1.09E-02  1.56E-06  2.05E-04  2.17E+00  1.26E+06  
     390   9.9682651128E-01  7.95E+06  2.45E+01  1.06E-02  1.42E-06  2.00E-04  2.17E+00  1.45E+06  
     400   1.0000001162E+00  8.38E+06  2.45E+01  1.26E-02  1.35E-06  2.38E-04  2.17E+00  1.45E+06  
     410   1.0011009993E+00  9.01E+06  2.45E+01  4.95E-02  1.25E-06  9.32E-04  2.17E+00  1.75E+06  
     420   1.0000000211E+00  9.65E+06  2.45E+01  9.07E-03  1.17E-06  1.71E-04  2.17E+00  1.77E+06  
     430   1.0038799598E+00  1.02E+07  2.45E+01  1.31E-02  1.11E-06  2.46E-04  2.17E+00  1.77E+06  
     440   1.0000010502E+00  1.10E+07  2.45E+01  3.57E-02  1.03E-06  6.71E-04  2.17E+00  1.88E+06  
     450   9.9999936348E-01  1.19E+07  2.45E+01  1.55E-02  9.48E-07  2.92E-04  2.17E+00  2.49E+06  
     460   9.9970009788E-01  1.27E+07  2.45E+01  4.78E-02  8.91E-07  9.00E-04  2.17E+00  2.49E+06  
     470   9.9999995822E-01  1.42E+07  2.45E+01  4.91E-03  7.97E-07  9.25E-05  2.17E+00  3.12E+06  
     480   9.9572399599E-01  1.51E+07  2.45E+01  6.62E-02  7.46E-07  1.25E-03  2.17E+00  3.12E+06  
     490   9.9999992107E-01  1.66E+07  2.45E+01  2.08E-02  6.79E-07  3.92E-04  2.17E+00  3.22E+06  
     500   1.0000052411E+00  1.82E+07  2.45E+01  1.14E-02  6.20E-07  2.14E-04  2.17E+00  3.22E+06  
     510   1.0003195011E+00  2.05E+07  2.45E+01  9.19E-03  5.50E-07  1.73E-04  2.17E+00  3.22E+06  
     520   9.9999998547E-01  2.26E+07  2.45E+01  1.07E-02  4.99E-07  2.01E-04  2.17E+00  4.21E+06  
     530   9.9091117711E-01  2.53E+07  2.45E+01  2.87E-02  4.45E-07  5.41E-04  2.17E+00  4.88E+06  
     540   9.9999830814E-01  2.89E+07  2.45E+01  2.10E-01  3.90E-07  3.96E-03  2.17E+00  4.88E+06  
     550   9.9970347156E-01  3.18E+07  2.44E+01  8.73E-03  3.55E-07  1.65E-04  2.17E+00  4.88E+06  
     560   9.9870731013E-01  3.57E+07  2.44E+01  2.63E-02  3.15E-07  4.96E-04  2.17E+00  5.09E+06  
     570   1.0000001338E+00  3.91E+07  2.44E+01  3.24E-02  2.88E-07  6.11E-04  2.17E+00  5.09E+06  
     580   1.0413656289E+00  4.25E+07  2.44E+01  1.11E-01  2.65E-07  2.09E-03  2.17E+00  5.09E+06  
     590   1.0000000265E+00  4.57E+07  2.44E+01  1.04E-02  2.46E-07  1.97E-04  2.17E+00  5.09E+06  
     600   1.0001385687E+00  4.88E+07  2.44E+01  3.68E-02  2.31E-07  6.96E-04  2.17E+00  5.09E+06  
     610   1.0000010221E+00  5.15E+07  2.44E+01  1.60E-02  2.19E-07  3.03E-04  2.17E+00  5.09E+06  
     620   9.9999994930E-01  5.43E+07  2.44E+01  2.73E-02  2.07E-07  5.16E-04  2.17E+00  5.09E+06  
     630   9.9587232371E-01  5.64E+07  2.44E+01  1.51E-02  1.99E-07  2.85E-04  2.17E+00  5.09E+06  
     640   9.9999999031E-01  5.83E+07  2.44E+01  7.88E-03  1.93E-07  1.49E-04  2.17E+00  5.09E+06  
     650   1.0000451512E+00  6.02E+07  2.44E+01  2.83E-02  1.87E-07  5.36E-04  2.17E+00  5.09E+06  
     660   9.9999834011E-01  6.18E+07  2.44E+01  8.80E-03  1.82E-07  1.67E-04  2.17E+00  5.09E+06  
     670   1.0000015497E+00  6.33E+07  2.44E+01  5.45E-03  1.78E-07  1.03E-04  2.17E+00  5.09E+06  
     680   1.0023079000E+00  6.51E+07  2.44E+01  2.49E-02  1.73E-07  4.70E-04  2.17E+00  5.09E+06  
     690   1.0000000052E+00  6.69E+07  2.44E+01  9.08E-03  1.68E-07  1.72E-04  2.17E+00  5.09E+06  
     700   9.9082337062E-01  6.85E+07  2.44E+01  3.57E-02  1.64E-07  6.77E-04  2.17E+00  5.09E+06  
     710   9.9999998616E-01  7.03E+07  2.44E+01  1.08E-01  1.60E-07  2.04E-03  2.17E+00  5.09E+06  
     720   9.9996982973E-01  7.20E+07  2.43E+01  3.23E-02  1.56E-07  6.11E-04  2.17E+00  5.09E+06  
     730   9.9996946915E-01  7.38E+07  2.43E+01  1.29E-02  1.52E-07  2.44E-04  2.17E+00  5.09E+06  
     740   1.0000000938E+00  7.60E+07  2.43E+01  4.88E-02  1.48E-07  9.25E-04  2.17E+00  5.09E+06  
     750   1.0243235959E+00  7.75E+07  2.43E+01  6.67E-02  1.45E-07  1.26E-03  2.17E+00  5.09E+06  
     760   1.0000000734E+00  7.97E+07  2.43E+01  3.53E-02  1.41E-07  6.70E-04  2.17E+00  5.09E+06  
     770   9.9998842636E-01  8.19E+07  2.43E+01  5.10E-03  1.37E-07  9.67E-05  2.17E+00  5.61E+06  
     780   1.0000104366E+00  8.42E+07  2.43E+01  1.80E-02  1.33E-07  3.42E-04  2.17E+00  5.61E+06  
     790   9.9999970644E-01  8.69E+07  2.43E+01  1.20E-02  1.29E-07  2.27E-04  2.17E+00  5.61E+06  
     800   9.8523230292E-01  9.07E+07  2.43E+01  4.13E-02  1.24E-07  7.83E-04  2.17E+00  6.84E+06  
     810   9.9999963888E-01  9.60E+07  2.43E+01  1.20E-02  1.17E-07  2.27E-04  2.17E+00  9.32E+06  
     817   9.6970968253E-01  9.96E+07  2.43E+01  2.27E-02  1.12E-07  4.30E-04  2.17E+00  9.32E+06  
     818   1.0044899617E+00  1.00E+08  2.43E+01  2.27E-02  1.12E-07  4.30E-04  2.17E+00  9.32E+06  

 Exit  MINRES-QLP.       istop = 12              itn    =     818
 Exit  MINRES-QLP.       Anorm =  2.1705E+00     Acond  =  9.3189E+06
 Exit  MINRES-QLP.       rnorm =  2.4299E+01     Arnorm =  2.2664E-02
 Exit  MINRES-QLP.       xnorm =  1.0002E+08
 Exit  MINRES-QLP.       xnorm has exceeded maxxnorm or will exceed it next iteration.    


  minresqlp appears to be successful.  n =   3200  Itns =    818  test(r) = 1.12E-07  test(Ar) = 4.30E-04


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   2003      ||b||    =   4.48E+01   precon   =   F
 itnlim   =   6009      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  4.48E+01  6.06E+02  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.6892235951E-02  1.20E+00  4.17E+01  3.37E+02  6.83E-01  1.54E-01  1.35E+01  1.00E+00  
       2   8.7109827772E-02  3.79E+00  3.98E+01  4.30E+02  1.63E-01  1.97E-01  5.24E+01  1.10E+01  
       3   1.8698468132E-01  8.19E+00  3.76E+01  6.82E+02  7.60E-02  2.43E-01  5.50E+01  1.89E+01  
       4   2.4863744764E-01  1.10E+01  3.65E+01  7.39E+02  4.21E-02  1.46E-01  7.46E+01  2.31E+01  
       5   3.3355644732E-01  1.51E+01  3.51E+01  4.13E+02  1.64E-02  8.47E-02  1.39E+02  5.66E+01  
       6   3.9346823008E-01  1.83E+01  3.42E+01  6.08E+02  1.33E-02  1.28E-01  1.39E+02  5.77E+01  
       7   4.4472098626E-01  2.12E+01  3.35E+01  3.12E+02  1.12E-02  6.71E-02  1.39E+02  6.10E+01  
       8   5.0354769140E-01  2.53E+01  3.28E+01  3.28E+02  9.22E-03  7.21E-02  1.39E+02  8.22E+01  
       9   5.3816255535E-01  2.81E+01  3.23E+01  3.95E+02  8.18E-03  8.80E-02  1.39E+02  7.83E+01  

      10   5.8135890320E-01  3.24E+01  3.18E+01  1.99E+02  7.00E-03  4.51E-02  1.39E+02  1.04E+02  
      20   5.8354232373E-01  8.64E+01  2.90E+01  9.87E+01  2.41E-03  2.45E-02  1.39E+02  3.08E+02  
      30   5.2391072733E-01  1.72E+02  2.81E+01  8.33E+01  1.17E-03  2.14E-02  1.39E+02  7.68E+02  
      40   5.7158326591E-01  2.66E+02  2.78E+01  6.22E+01  6.89E-04  1.47E-02  1.52E+02  1.59E+03  
      50   5.0401376469E-01  3.79E+02  2.77E+01  5.68E+01  4.82E-04  1.35E-02  1.52E+02  2.83E+03  
      60   5.6694525295E-01  5.30E+02  2.77E+01  9.17E+00  3.44E-04  2.19E-03  1.52E+02  5.71E+03  
      70   5.2815046891E-01  6.69E+02  2.76E+01  9.68E+00  2.72E-04  2.31E-03  1.52E+02  7.88E+03  
      80   5.4681154150E-01  8.24E+02  2.76E+01  6.67E+00  2.21E-04  1.59E-03  1.52E+02  1.45E+04  
      90   5.3665138175E-01  1.05E+03  2.76E+01  4.45E+00  1.73E-04  1.06E-03  1.52E+02  2.09E+04  
     100   5.4476758754E-01  1.24E+03  2.76E+01  9.79E+00  1.46E-04  2.34E-03  1.52E+02  2.24E+04  
     110   5.4264151790E-01  1.45E+03  2.76E+01  6.53E+00  1.25E-04  1.56E-03  1.52E+02  3.57E+04  
     120   5.4146411022E-01  1.72E+03  2.76E+01  1.70E+00  1.06E-04  4.07E-04  1.52E+02  5.38E+04  
     130   5.4350984654E-01  1.99E+03  2.76E+01  2.09E+00  8.93E-05  4.88E-04  1.55E+02  6.82E+04  
     140   5.3942280706E-01  2.25E+03  2.76E+01  2.04E+00  7.91E-05  4.78E-04  1.55E+02  7.55E+04  
     150   5.4320266320E-01  2.60E+03  2.76E+01  2.66E+00  6.86E-05  6.23E-04  1.55E+02  1.26E+05  
     160   5.4050013114E-01  2.81E+03  2.76E+01  1.05E+00  6.33E-05  2.46E-04  1.55E+02  1.26E+05  
     170   5.4282335642E-01  3.11E+03  2.76E+01  9.24E-01  5.72E-05  2.16E-04  1.55E+02  1.93E+05  
     180   5.4078448433E-01  3.41E+03  2.76E+01  4.74E-01  4.97E-05  1.05E-04  1.63E+02  2.33E+05  
     190   5.4232633970E-01  3.68E+03  2.76E+01  7.36E-01  4.60E-05  1.64E-04  1.63E+02  3.04E+05  
     200   5.4108259957E-01  4.00E+03  2.76E+01  3.58E-01  4.23E-05  7.95E-05  1.63E+02  4.82E+05  
     210   5.4219537514E-01  4.41E+03  2.76E+01  2.18E-01  3.84E-05  4.85E-05  1.63E+02  4.82E+05  
     220   5.4130730533E-01  4.79E+03  2.76E+01  1.35E-01  3.53E-05  3.00E-05  1.63E+02  7.03E+05  
     230   5.4191326254E-01  5.12E+03  2.76E+01  2.82E-01  3.31E-05  6.27E-05  1.63E+02  7.49E+05  
     240   5.4146609395E-01  5.38E+03  2.76E+01  2.42E-01  3.14E-05  5.38E-05  1.63E+02  9.59E+05  
     250   5.4183501067E-01  5.67E+03  2.76E+01  1.00E-01  2.99E-05  2.23E-05  1.63E+02  1.27E+06  
     260   5.4153104243E-01  5.94E+03  2.76E+01  1.76E-01  2.85E-05  3.86E-05  1.63E+02  1.55E+06  
     270   5.4179336506E-01  6.32E+03  2.76E+01  7.70E-02  2.64E-05  1.68E-05  1.66E+02  1.89E+06  
     280   5.4160286143E-01  6.63E+03  2.76E+01  5.24E-02  2.52E-05  1.15E-05  1.66E+02  2.47E+06  
     290   5.4175165005E-01  6.92E+03  2.76E+01  5.13E-02  2.41E-05  1.12E-05  1.66E+02  3.40E+06  
     300   5.4163150927E-01  7.19E+03  2.76E+01  4.65E-02  2.32E-05  1.02E-05  1.66E+02  3.84E+06  
     310   5.4171625641E-01  7.53E+03  2.76E+01  2.49E-02  2.21E-05  5.44E-06  1.66E+02  4.83E+06  
     320   5.4165149955E-01  7.80E+03  2.76E+01  5.21E-02  2.14E-05  1.14E-05  1.66E+02  5.57E+06  
     330   5.4169574058E-01  8.05E+03  2.76E+01  4.61E-02  2.07E-05  1.01E-05  1.66E+02  5.85E+06  
     334   5.4169343231E-01  8.18E+03  2.76E+01  1.98E-02  2.04E-05  4.34E-06  1.66E+02  1.20E+07  
     340   5.4166409565E-01  8.35E+03  2.76E+01  1.46E-02  2.00E-05  3.19E-06  1.66E+02  1.20E+07  
     350   5.4168987821E-01  8.64E+03  2.76E+01  3.22E-02  1.93E-05  7.05E-06  1.66E+02  1.20E+07  
     360   5.4166906900E-01  9.09E+03  2.76E+01  3.52E-03  1.83E-05  7.71E-07  1.66E+02  2.13E+07  
     370   5.4168889651E-01  9.60E+03  2.76E+01  2.88E-02  1.74E-05  6.30E-06  1.66E+02  2.30E+07  
     380   5.4167442687E-01  9.93E+03  2.76E+01  1.23E-02  1.68E-05  2.70E-06  1.66E+02  2.47E+07  
     390   5.4168668906E-01  1.04E+04  2.76E+01  7.92E-03  1.61E-05  1.73E-06  1.66E+02  4.04E+07  
     400   5.4167424975E-01  1.08E+04  2.76E+01  4.52E-03  1.55E-05  9.88E-07  1.66E+02  4.40E+07  
     410   5.4168383129E-01  1.12E+04  2.76E+01  5.88E-03  1.49E-05  1.29E-06  1.66E+02  4.53E+07  
     420   5.4167625535E-01  1.15E+04  2.76E+01  2.82E-03  1.45E-05  6.16E-07  1.66E+02  4.53E+07  
     430   5.4168295336E-01  1.18E+04  2.76E+01  4.33E-03  1.41E-05  9.48E-07  1.66E+02  7.04E+07  
     440   5.4167546590E-01  1.21E+04  2.76E+01  2.67E-03  1.37E-05  5.84E-07  1.66E+02  7.04E+07  
     450   5.4168178897E-01  1.25E+04  2.76E+01  1.64E-03  1.34E-05  3.59E-07  1.66E+02  8.75E+07  
     460   5.4167797301E-01  1.27E+04  2.76E+01  3.33E-03  1.31E-05  7.29E-07  1.66E+02  1.22E+08  
     466   5.4167959614E-01  1.29E+04  2.76E+01  3.16E-04  1.29E-05  6.90E-08  1.66E+02  1.93E+08  
     467   5.4167990058E-01  1.29E+04  2.76E+01  1.40E-03  1.29E-05  3.07E-07  1.66E+02  1.93E+08  

 Exit  MINRES-QLP.       istop =  6              itn    =     467
 Exit  MINRES-QLP.       Anorm =  1.6561E+02     Acond  =  1.9280E+08
 Exit  MINRES-QLP.       rnorm =  2.7604E+01     Arnorm =  1.4039E-03
 Exit  MINRES-QLP.       xnorm =  1.2937E+04
 Exit  MINRES-QLP.       Pseudoinverse solution for singular LS problem, given rtol.      


  minresqlp appears to be successful.  n =   2003  Itns =    467  test(r) = 1.29E-05  test(Ar) = 3.07E-07


---------------------------------------
 Test of MINRESQLP on an MM CRS matrix 
---------------------------------------


 Enter MINRES-QLP.      Solution of symmetric   Ax = b
 n        =   5321      ||b||    =   7.29E+01   precon   =   F
 itnlim   =  15963      rtol     =   1.00E-07   shift    =   0.00000000000000E+00
 maxxnorm =   1.00E+08  Acondlim =   1.00E+15   trancond =   1.00E+07


    iter   x(1)              xnorm     rnorm     Arnorm   Compatible   LS      norm(A)   cond(A)
       0   0.0000000000E+00  0.00E+00  7.29E+01  6.62E+06  1.00E+00  1.00E+00  0.00E+00  1.00E+00  
       1   2.1385032648E-07  1.56E-05  7.29E+01  9.10E+03  9.81E-01  2.67E-05  9.08E+04  1.00E+00  
       2   7.8300399080E-04  5.71E-02  7.29E+01  4.15E+03  2.72E-04  1.22E-05  4.68E+06  8.85E+04  
       3   6.1519911101E-03  9.99E-02  7.19E+01  2.05E+04  1.54E-04  6.09E-05  4.68E+06  2.00E+04  
       4   1.1722592284E-02  2.05E-01  7.09E+01  1.26E+05  7.38E-05  3.79E-04  4.68E+06  8.85E+04  
       5   1.1721594254E-02  2.05E-01  7.09E+01  3.89E+05  7.38E-05  1.17E-03  4.68E+06  2.00E+04  
       6   1.0252476098E-02  2.90E-01  7.08E+01  2.67E+03  5.21E-05  8.04E-06  4.68E+06  1.21E+05  
       7   1.3281359779E-01  3.47E-01  6.68E+01  2.43E+03  4.11E-05  7.78E-06  4.68E+06  5.97E+04  
       8   1.4269169181E-01  5.06E-01  6.62E+01  1.07E+05  2.80E-05  3.46E-04  4.68E+06  1.28E+05  
       9   1.4269499208E-01  5.06E-01  6.62E+01  6.96E+05  2.80E-05  2.25E-03  4.68E+06  5.97E+04  

      10   1.7385689073E-01  4.79E-01  6.50E+01  3.51E+03  2.90E-05  1.15E-05  4.68E+06  1.28E+05  
      20   1.4387386560E-01  5.47E+00  5.52E+01  1.73E+03  2.15E-06  6.68E-06  4.68E+06  5.38E+05  
      30   2.5274197984E-01  1.36E+01  4.24E+01  7.49E+02  6.63E-07  3.78E-06  4.68E+06  8.43E+05  
      40   3.5622048053E-02  1.49E+01  3.57E+01  7.33E+02  5.12E-07  4.39E-06  4.68E+06  8.43E+05  
      50   9.9818400020E-02  1.51E+01  3.24E+01  4.93E+02  4.58E-07  3.25E-06  4.68E+06  8.43E+05  
      60   1.4007434405E-02  1.60E+01  2.97E+01  4.67E+06  3.98E-07  3.36E-02  4.68E+06  1.23E+06  
      70   7.0123081672E-02  2.19E+01  2.59E+01  7.79E+02  2.52E-07  6.43E-06  4.68E+06  3.05E+06  
      80   1.2320676355E-01  3.42E+01  2.04E+01  1.19E+03  1.27E-07  1.25E-05  4.68E+06  3.05E+06  
      90   1.2839461910E-01  3.73E+01  1.79E+01  4.85E+04  1.03E-07  5.78E-04  4.68E+06  3.05E+06  
      92   1.2831197461E-01  3.72E+01  1.79E+01  7.73E+01  1.03E-07  9.21E-07  4.68E+06  3.05E+06  
      93   1.3109282115E-01  3.81E+01  1.77E+01  9.04E+01  9.93E-08  1.09E-06  4.68E+06  2.71E+06  

 Exit  MINRES-QLP.       istop =  4              itn    =      93
 Exit  MINRES-QLP.       Anorm =  4.6820E+06     Acond  =  2.7111E+06
 Exit  MINRES-QLP.       rnorm =  1.7738E+01     Arnorm =  9.0438E+01
 Exit  MINRES-QLP.       xnorm =  3.8138E+01
 Exit  MINRES-QLP.       A solution to (poss. singular) Ax = b found, given rtol.         


  minresqlp appears to be successful.  n =   5321  Itns =     93  test(r) = 9.93E-08  test(Ar) = 1.09E-06
