@comment{
 This is Sou-Cheng Choi's bibliograhy database and is built from the following steps:
 (1), refs.bib from Michael Saunders, relabeled to refs3.bib
 (2), setting up compilation environment (MikTex and WinEdt, latest versions) with Lek-Heng Lim's help
 (3), include the following two lines from main file

    \bibliographystyle{plain}
    \bibliography{refs3} % database refs3.bib in the same directory as this file, no .bib typed in {}.
 (4) in WinEdt,
     ->  "bibtex" button
     -> "PDF Texify" button
 (5) For published mathematical articles/books:
    (i) add bibliography items using MathSciNet's bibtex
    (i) customize contents or formats of items in (i):
        - replace " (electronic)" with empty string
        - find spelling of first names using MathSciNet or internet or Science Citation Index (SCI)
        - remove some fields like NOTE if necessary
 (6) For unpublished mathematical articles/books, use internet search engine
 (7) For Thesis, use Stanford Library to build bibtex items
 (8) For Computer Science articles/books, use internet search engine or CiteSeer
 (9) For articles from other fields, use SCI or internet search engine

 Clever tricks:
================
 (1) use the following to switch the order of two papers. Eg. PS82a, PS82b
  title={\rlap{\phantom{z}}{...}};

 Questions:
  review
 (1) inproceedings
 (2) techreport
 (3) [GG06]
}

@string{BIT     = {Nordisk Tidskr. Informationsbehandling (BIT)}}
@string{CACM    = {Commun. ACM}}
@string{CJ      = {Computer Journal}}
@string{IJCMA   = {Intern. J. of Computers and Mathematics with Applications}}
@string{INFJOC  = {INFORMS J. on Computing}}
@string{LAA     = {Linear Algebra and its Applications}}
@string{JOR     = {Operations Research}}
@string{JOTA    = {J. Optim. Theory and Applics.}}
@string{MC      = {Math. Comp.}}
@string{MS      = {Management Science}}
@string{MP      = {Math. Program.}}
@string{MPStudy = {Math. Program. Study}}
@string{NM      = {Numer. Math.}}
@string{ORL     = {Operations Research Letters}}
@string{SR      = {SIAM Review}}
@string{SIC     = {SIAM J. Computing}}
@string{SICO    = {SIAM J. Control Optim.}}
@string{SIAM    = {SIAM J. Appl. Math.}}
@string{SINUM   = {SIAM J. Numer. Anal.}}
@string{SIMAX   = {SIAM J. Matrix Anal. Appl.}}
@string{SIOPT   = {SIAM J. Optim.}}
@string{SIREV   = {SIAM Review}}
@string{SISSC   = {SIAM J. Sci. and Statist. Comput.}}
@string{SISC    = {SIAM J. Sci. Comput.}}
@string{SIAM    = {Society for Industrial and Applied Mathematics}}
@string{TOMS    = {ACM Trans. Math. Software}}
@string{TAMS    = {Trans. Amer. Math. Soc.}}
@string{JACM    = {J. Association for Computing Machinery}}
@string{JGC     = {J. of Guidance, Control, and Dynamics}}
@string{NAC     = {Report NAC}}
@string{DNAM    = {Report DNAM}}
@string{OPTSYST = {Division of Optimization and Systems Theory,
                  Department of Mathematics, Royal Institute of
                  Technology}}
@string{NPL     = {National Physical Laboratory, England}}

@comment{
==========Mathematics, MathSciNet======================================================
}



@article {BQ98a,
    AUTHOR = {Bischof, Christian H. and Quintana-Ort{\'{\i}}, Gregorio},
     TITLE = {Algorithm 782: codes for rank-revealing {QR} factorizations of
              dense matrices},
   JOURNAL = {ACM Trans. Math. Software},
  FJOURNAL = {Association for Computing Machinery. Transactions on
              Mathematical Software},
    VOLUME = {24},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {254--257},
      ISSN = {0098-3500},
     CODEN = {ACMSCU},
   MRCLASS = {65F35 (65-04)},
  MRNUMBER = {MR1663957},
}

@article {BQ98b,
    AUTHOR = {Bischof, Christian H. and Quintana-Ort{\'{\i}}, Gregorio},
     TITLE = {Computing rank-revealing {QR} factorizations of dense
              matrices},
   JOURNAL = {ACM Trans. Math. Software},
  FJOURNAL = {Association for Computing Machinery. Transactions on
              Mathematical Software},
    VOLUME = {24},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {226--253},
      ISSN = {0098-3500},
     CODEN = {ACMSCU},
   MRCLASS = {65F35 (65-04)},
  MRNUMBER = {MR1663953},
}


@inproceedings {CLR00,
    AUTHOR = {Calvetti, Daniela and Lewis, Bryan and Reichel, Lothar},
     TITLE = {An {L}-curve for the {MINRES} method},
 BOOKTITLE = {Proceedings of SPIE},
    VOLUME = {4116},
      YEAR = {2000},
     PAGES = {385-395}
}

@article {RY05,
    AUTHOR = {Reichel, Lothar and Ye, Qiang},
     TITLE = {Breakdown-free {GMRES} for singular systems},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {26},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {1001--1021 (electronic)},
      ISSN = {0895-4798},
   MRCLASS = {65F10},
  MRNUMBER = {MR2178209 (2006i:65054)},
MRREVIEWER = {Marc Van Barel},
}


@unpublished{CPP09,
    AUTHOR = {Chang, X.-W. and Paige, C. C. and Titley-Peloquin, D.},
     TITLE = {Stopping Criteria for the Iterative Solution of Linear Least Squares Problems},
     note  = "Submitted to {\it SIAM J. Matrix Anal. Appl.}",
      year =  2008
}


@article {FH93,
    AUTHOR = {Franca, L. P.  and  Hughes, T. J. R.},
     TITLE = {Convergence analysis of Galerkin least
squares methods for symmetric advective-diffusive form of
the Stokes and incompressible Navier-Stokes equations},
   JOURNAL = {Comp. Methods Appl. Mech. Eng.},
  FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
    VOLUME = {105},
    NUMBER = {2},
      YEAR = {1993},
     PAGES = {285--298},
}

@article {S84a,
    AUTHOR = {Simon, Horst D.},
     TITLE = {Analysis of the symmetric {L}anczos algorithm with
              reorthogonalization methods},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {61},
      YEAR = {1984},
     PAGES = {101--131},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F15 (65F10)},
  MRNUMBER = {MR755252 (85k:65033)},
MRREVIEWER = {Colette Lebaud},
}

@article {S84b,
    AUTHOR = {Simon, Horst D.},
     TITLE = {The {L}anczos algorithm with partial reorthogonalization},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {42},
      YEAR = {1984},
    NUMBER = {165},
     PAGES = {115--142},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {65F10 (65F25)},
  MRNUMBER = {MR725988 (85h:65075)},
MRREVIEWER = {O. O. Romanovs{\cprime}ki{\u\i}},
}

@article {BS79,
    AUTHOR = {Parlett, B. N. and Scott, D. S.},
     TITLE = {The {L}anczos algorithm with selective orthogonalization},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {33},
      YEAR = {1979},
    NUMBER = {145},
     PAGES = {217--238},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {65F15},
  MRNUMBER = {MR514820 (80c:65090)},
MRREVIEWER = {Colette Lebaud},
}
	


@article {HO93,
    AUTHOR = {Hansen, Per Christian and O'Leary, Dianne Prost},
     TITLE = {The use of the {L}-curve in the regularization of discrete
              ill-posed problems},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {14},
      YEAR = {1993},
    NUMBER = {6},
     PAGES = {1487--1503},
      ISSN = {1064-8275},
     CODEN = {SJOCE3},
   MRCLASS = {65F30 (65F20)},
  MRNUMBER = {MR1241596 (94h:65045)},
MRREVIEWER = {Jose Cuminato},
}

@article {HN96,
    AUTHOR = {Hanke, Martin and Nagy, James G.},
     TITLE = {Restoration of atmospherically blurred images by symmetric
              indefinite conjugate gradient techniques},
   JOURNAL = {Inverse Problems},
  FJOURNAL = {Inverse Problems. An International Journal on the Theory and
              Practice of Inverse Problems, Inverse Methods and Computerized
              Inversion of Data},
    VOLUME = {12},
      YEAR = {1996},
    NUMBER = {2},
     PAGES = {157--173},
      ISSN = {0266-5611},
     CODEN = {INPEEY},
   MRCLASS = {85-08 (65J20)},
  MRNUMBER = {MR1382236 (96m:85001)},
}

@article {L50,
    AUTHOR = {Lanczos, Cornelius},
     TITLE = {An iteration method for the solution of the eigenvalue problem
              of linear differential and integral operators},
   JOURNAL = {J. Research Nat. Bur. Standards},
  FJOURNAL = {Journal of Research of the National Bureau of Standards},
    VOLUME = {45},
      YEAR = {1950},
     PAGES = {255--282},
      ISSN = {0160-1741},
   MRCLASS = {65.0X},
  MRNUMBER = {MR0042791 (13,163d)},
MRREVIEWER = {P. Funk},
}
	

@article {A51,
    AUTHOR = {Arnoldi, W. E.},
     TITLE = {The principle of minimized iteration in the solution of the
              matrix eigenvalue problem},
   JOURNAL = {Quart. Appl. Math.},
  FJOURNAL = {Quarterly of Applied Mathematics},
    VOLUME = {9},
      YEAR = {1951},
     PAGES = {17--29},
      ISSN = {0033-569X},
   MRCLASS = {65.0X},
  MRNUMBER = {MR0042792 (13,163e)},
MRREVIEWER = {P. Funk},
}

% SERIES = {Springer Series in Operations Research and Financial Engineering},
@book {LM,
   AUTHOR = {Langville, Amy N.  and Meyer, Carl D.},
    TITLE = {Google's PageRank and Beyond: The Science of Search Engine Rankings},
PUBLISHER ={Princeton University Press, Princeton, NJ},
     YEAR = {2006},
}


@book {NW,
    AUTHOR = {Nocedal, Jorge and Wright, Stephen J.},
     TITLE = {Numerical Optimization},
   EDITION = {2nd},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {2006},
     PAGES = {xxii+664},
      ISBN = {978-0387-30303-1; 0-387-30303-0},
   MRCLASS = {90-01 (49Mxx 65K05 90-02 90C30)},
  MRNUMBER = {MR2244940 (2007a:90001)},
}

@article {BES98,
    AUTHOR = {Bj{\"o}rck, {\AA}ke and Elfving, Tommy and Strako{\u{s}},
              Zden{\u{e}}k},
     TITLE = {Stability of conjugate gradient and {L}anczos methods for
              linear least squares problems},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {19},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {720--736},
      ISSN = {0895-4798},
   MRCLASS = {65F20},
  MRNUMBER = {MR1611183 (99a:65051)},
}
	

@article {JHS03,
    AUTHOR = {Jacobsen, M. and Hansen, P. C. and Saunders, M. A.},
     TITLE = {Subspace preconditioned {LSQR} for discrete ill-posed
              problems},
   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {43},
      YEAR = {2003},
    NUMBER = {suppl.},
     PAGES = {975--989},
      ISSN = {0006-3835},
   MRCLASS = {65F22},
  MRNUMBER = {MR2058879 (2005e:65057)},
MRREVIEWER = {R. P. Tewarson},
}
	
% SERIES = {Software, Environments, and Tools},
% VOLUME = {11},
@book {BDDRV00,
     TITLE = {Templates for the Solution of Algebraic Eigenvalue Problems},
    EDITOR = {Bai, Zhaojun and Demmel, James and Dongarra, Jack and Ruhe,
              Axel and van der Vorst, Henk},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {2000},
     PAGES = {xxx+410},
      ISBN = {0-89871-471-0},
   MRCLASS = {65-02 (65F15)},
  MRNUMBER = {MR1792141 (2001k:65003)},
MRREVIEWER = {Jesse L. Barlow},
}

@article {A98,
    AUTHOR = {Amer, M. A.},
     TITLE = {Constructive solutions for nonlinear multiparameter eigenvalue
              problems},
   JOURNAL = {Comput. Math. Appl.},
  FJOURNAL = {Computers \& Mathematics with Applications. An International
              Journal},
    VOLUME = {35},
      YEAR = {1998},
    NUMBER = {11},
     PAGES = {83--90},
      ISSN = {0898-1221},
     CODEN = {CMAPDK},
   MRCLASS = {47H12 (47H17 65J10)},
  MRNUMBER = {MR1625550 (99c:47097)},
}

@article {N02,
    AUTHOR = {Notay, Y.},
     TITLE = {Combination of {J}acobi-{D}avidson and conjugate gradients for
              the partial symmetric eigenproblem},
   JOURNAL = {Numer. Linear Algebra Appl.},
  FJOURNAL = {Numerical Linear Algebra with Applications},
    VOLUME = {9},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {21--44},
      ISSN = {1070-5325},
     CODEN = {NLAAEM},
   MRCLASS = {65F15},
  MRNUMBER = {MR1874781 (2002m:65033)},
MRREVIEWER = {Marlis Hochbruck},
}
	

@article {BGS06,
    AUTHOR = {Berns-M{\"u}ller, J{\"o}rg and Graham, Ivan G. and Spence,
              Alastair},
     TITLE = {Inexact inverse iteration for symmetric matrices},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {416},
      YEAR = {2006},
    NUMBER = {2-3},
     PAGES = {389--413},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F10},
  MRNUMBER = {MR2242738},
}
	

@article {YA00,
    AUTHOR = {Yu, Chong-hua and Axelsson, O.},
     TITLE = {A process for solving a few extreme eigenpairs of large sparse
              positive definite generalized eigenvalue problem},
   JOURNAL = {J. Comput. Math.},
  FJOURNAL = {Journal of Computational Mathematics. An International Journal
              on Numerical Methods, Analysis and Applications},
    VOLUME = {18},
      YEAR = {2000},
    NUMBER = {4},
     PAGES = {387--402},
      ISSN = {0254-9409},
     CODEN = {JCMMEB},
   MRCLASS = {65F15 (15A18 65F50)},
  MRNUMBER = {MR1773910 (2001d:65050)},
}

@article {ZLC89,
    AUTHOR = {Zheng, T. S. and Liu, W. M. and Cai, Z. B.},
     TITLE = {A generalized inverse iteration method for solution of
              quadratic eigenvalue problems in structural dynamic analysis},
   JOURNAL = {Comput. \& Structures},
  FJOURNAL = {Computers \& Structures. An International Journal},
    VOLUME = {33},
      YEAR = {1989},
    NUMBER = {5},
     PAGES = {1139--1143},
      ISSN = {0045-7949},
     CODEN = {CMSTCJ},
   MRCLASS = {65F10 (65H15 70J10 73K12)},
  MRNUMBER = {MR1029144 (90i:65064)},
}
	

@incollection {SW79,
    AUTHOR = {Szyld, Daniel B. and Widlund, Olof B.},
     TITLE = {Applications of conjugate gradient type methods to eigenvalue
              calculations},
 BOOKTITLE = {Advances in Computer Methods for Partial Differential
              Equations, III (Proc. Third IMACS Internat. Sympos., Lehigh
              Univ., Bethlehem, Pa., 1979)},
     PAGES = {167--173},
 PUBLISHER = {IMACS},
   ADDRESS = {New Brunswick, N.J.},
      YEAR = {1979},
   MRCLASS = {65F15},
  MRNUMBER = {MR603469 (82b:65026)},
}

@article {RW72,
    AUTHOR = {Ruhe, Axel and Wiberg, Torbj{\"o}rn},
     TITLE = {The method of conjugate gradients used in inverse iteration},
   JOURNAL = {Nordisk Tidskr. Informationsbehandling (BIT)},
    VOLUME = {12},
      YEAR = {1972},
     PAGES = {543--554},
   MRCLASS = {65F10},
  MRNUMBER = {MR0327013 (48 \#5355)},
MRREVIEWER = {Murli M. Gupta},
}


%NOTE = {Volume I: Matrices and compact operators,
%              Mathematics in Science and Engineering, Vol. 82},
@book {A72,
    AUTHOR = {Atkinson, F. V.},
     TITLE = {Multiparameter Eigenvalue Problems},

 PUBLISHER = {Academic Press},
   ADDRESS = {New York},
      YEAR = {1972},
     PAGES = {xii+209},
   MRCLASS = {47-02},
  MRNUMBER = {MR0451001 (56 \#9291)},
MRREVIEWER = {Patrick J. Browne},
}

%    SERIES = {Lecture Notes in Mathematics},
%    VOLUME = {1356},
@book {V88,
    AUTHOR = {Volkmer, Hans},
     TITLE = {Multiparameter Eigenvalue Problems and Expansion Theorems},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1988},
     PAGES = {vi+157},
      ISBN = {3-540-50479-6},
   MRCLASS = {47A70 (15-02 35P10 47-02)},
  MRNUMBER = {MR973644 (90d:47021)},
MRREVIEWER = {Brian D. Sleeman},
}

@article {WE94,
    AUTHOR = {Watkins, David and Elsner, Ludwig},
     TITLE = {Theory of decomposition and bulge-chasing algorithms for the
              generalized eigenvalue problem},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {15},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {943--967},
      ISSN = {0895-4798},
     CODEN = {SJMAEL},
   MRCLASS = {65F15},
  MRNUMBER = {MR1282705 (95h:65027)},
MRREVIEWER = {Colette Lebaud},
}

@article {K74,
    AUTHOR = {Kaufman, Linda},
     TITLE = {The {$LZ$}-algorithm to solve the generalized eigenvalue
              problem},
   JOURNAL = {SIAM J. Numer. Anal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {11},
      YEAR = {1974},
     PAGES = {997--1024},
      ISSN = {1095-7170},
   MRCLASS = {65F15},
  MRNUMBER = {MR0373253 (51 \#9454)},
MRREVIEWER = {Jan Zitko},
}

@article {FSV98,
    AUTHOR = {Fokkema, Diederik R. and Sleijpen, Gerard L. G. and Van der
              Vorst, Henk A.},
     TITLE = {Jacobi-{D}avidson style {QR} and {QZ} algorithms for the
              reduction of matrix pencils},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {20},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {94--125},
      ISSN = {1064-8275},
   MRCLASS = {65F15},
  MRNUMBER = {MR1639102 (99e:65061)},
}
		

%NOTE = {Collection of articles dedicated to the memory of George E. Forsythe},
@article {MS73,
    AUTHOR = {Moler, C. B. and Stewart, G. W.},
     TITLE = {An algorithm for generalized matrix eigenvalue problems},
   JOURNAL = {SIAM J. Numer. Anal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {10},
      YEAR = {1973},
     PAGES = {241--256},
      ISSN = {1095-7170},
   MRCLASS = {65F15},
  MRNUMBER = {MR0345399 (49 \#10135)},
MRREVIEWER = {D. B. Hunter},
}
		

@article {S73,
    AUTHOR = {Stewart, G. W.},
     TITLE = {Error and perturbation bounds for subspaces associated with
              certain eigenvalue problems},
   JOURNAL = {SIAM Rev.},
  FJOURNAL = {SIAM Review},
    VOLUME = {15},
      YEAR = {1973},
     PAGES = {727--764},
      ISSN = {1095-7200},
   MRCLASS = {65F15},
  MRNUMBER = {MR0348988 (50 \#1482)},
MRREVIEWER = {B. Levinger},
}

@article {B87,
    AUTHOR = {Boley, Daniel},
     TITLE = {Computing rank-deficiency of rectangular matrix pencils},
   JOURNAL = {Systems Control Lett.},
  FJOURNAL = {Systems \& Control Letters},
    VOLUME = {9},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {207--214},
      ISSN = {0167-6911},
     CODEN = {SCLEDC},
   MRCLASS = {93B25 (93B40)},
  MRNUMBER = {MR910086},
}

@article {S94,
    AUTHOR = {Stewart, G. W.},
     TITLE = {Perturbation theory for rectangular matrix pencils},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {208/209},
      YEAR = {1994},
     PAGES = {297--301},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A22 (15A18 15A42)},
  MRNUMBER = {MR1287354 (95f:15013)},
MRREVIEWER = {Gerd M. Krause},
}

@article {HV03,
    AUTHOR = {Hochstenbach, Michiel E. and van der Vorst, Henk A.},
     TITLE = {Alternatives to the {R}ayleigh quotient for the quadratic
              eigenvalue problem},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {25},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {591--603},
      ISSN = {1064-8275},
   MRCLASS = {65F15 (15A18)},
  MRNUMBER = {MR2058077 (2005g:65070)},
MRREVIEWER = {Rafael Bru},
}
	
% NOTE = {Special issue on accurate solution of eigenvalue problems (Hagen, 2000)},
@article {DT00,
    AUTHOR = {Dedieu, Jean-Pierre and Tisseur, Fran{\c{c}}oise},
     TITLE = {Perturbation theory for homogeneous polynomial eigenvalue
              problems},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {358},
      YEAR = {2003},
     PAGES = {71--94},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {15A18 (65F15)},
  MRNUMBER = {MR1942724 (2003m:15018)},
}
		

@article {T04,
    AUTHOR = {Tisseur, Fran{\c{c}}oise},
     TITLE = {Tridiagonal-diagonal reduction of symmetric indefinite pairs},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {26},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {215--232},
      ISSN = {0895-4798},
   MRCLASS = {65F15},
  MRNUMBER = {MR2112857 (2005k:65083)},
MRREVIEWER = {Raffaella Pavani},
}

% NOTE = {Fourth special issue on linear systems and control},
@article {HT02,
    AUTHOR = {Higham, Nicholas J. and Tisseur, Fran{\c{c}}oise},
     TITLE = {More on pseudospectra for polynomial eigenvalue problems and
              applications in control theory},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {351/352},
      YEAR = {2002},
     PAGES = {435--453},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {93B60 (15A18 65F15)},
  MRNUMBER = {MR1917486 (2003e:93035)},
MRREVIEWER = {Pablo A. Iglesias},
}

@inproceedings {T00,
    AUTHOR = {Tisseur, Fran{\c{c}}oise},
     TITLE = {Backward error and condition of polynomial eigenvalue
              problems},
 BOOKTITLE = {Proceedings of the International Workshop on Accurate Solution
              of Eigenvalue Problems (University Park, PA, 1998)},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {309},
      YEAR = {2000},
     PAGES = {339--361},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F15 (15A12)},
  MRNUMBER = {MR1758374 (2001c:65046)},
}

	

@article {R93,
    AUTHOR = {Rajakumar, C.},
     TITLE = {Lanczos algorithm for the quadratic eigenvalue problem in
              engineering applications},
   JOURNAL = {Comput. Methods Appl. Mech. Engrg.},
  FJOURNAL = {Computer Methods in Applied Mechanics and Engineering},
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}
	
@article {L88,
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  MRNUMBER = {MR951311 (89f:65041)},
}

@article {TM01,
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  MRNUMBER = {MR1861082 (2002i:65042)},
MRREVIEWER = {E. Kreyszig},
}
	

@article {HGL05,
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  MRNUMBER = {MR2124401 (2005m:65080)},
MRREVIEWER = {Christian Mehl},
}
		
@article {BS05,
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MRREVIEWER = {Marcos Raydan},
}
	

@article {SBFV96,
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}

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@article {L77,
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}

@techreport{Eld04,
AUTHOR      = {Eld{\'e}n, Lars},
TITLE       = {The eigenvalues of the {Google} matrix},
INSTITUTION = {Link{\"o}ping University},
ADDRESS     = {Link{\"o}ping, Sweden},
TYPE        = {Tech. Rep.},
number      = {LiTHMAT-R-04-01},
YEAR        =  2004
}


@techreport{DEK95,
AUTHOR      = {Dongarra, Jack and Eijkhout, Victor and Kalhan, Ajay},
TITLE       = {Reverse communication interface for linear algebra templates for iterative methods},
INSTITUTION = {University of Tennessee},
ADDRESS     = {TN},
TYPE        = {Report},
number      = {UT-CS-95-291},
YEAR        =  1995
}

@article {H90,
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      YEAR = {1990},
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MRREVIEWER = {Lars Eld{\'e}n},
}

@misc{HS99,
    AUTHOR = {Hansen, Per Christian and Saunders, Michael A.},
     TITLE = {{AMRES}: {A MINRES}-type algorithm for augmented systems},
  HOWPUBLISHED = {{Matlab} code {\tt amres.m}},
     YEAR  = 1999
}


@article {B01,
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    VOLUME = {23},
      YEAR = {2001/02},
    NUMBER = {3},
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      ISSN = {0895-4798},
   MRCLASS = {65F15 (15A18 65F25 65G50)},
  MRNUMBER = {MR1896818 (2003b:65035)},
MRREVIEWER = {Ilse C. F. Ipsen},
}


@article {BGV94,
    AUTHOR = {Bj{\"o}rck, {\AA}ke and Grimme, Eric and Van Dooren, Paul},
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  FJOURNAL = {BIT. Numerical Mathematics},
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}

@article {SZ00,
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   MRCLASS = {65F15 (65F50)},
  MRNUMBER = {MR1762041 (2001e:65065)},
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}


@article {L04,
    AUTHOR = {Eld{\'e}n, Lars},
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   MRCLASS = {62J05 (62H25)},
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MRREVIEWER = {M. Hu{\v{s}}kov{\'a}},
}

@inproceedings {G95,
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 PUBLISHER = {Birkh\"auser, Basel},
      YEAR = {1995},
   MRCLASS = {65F30 (44A60)},
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@article {G96,
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}

@comment{
      NOTE = {Direct methods, linear algebra in optimization, iterative
              methods (Toulouse, 1995/1996)},
}

@article {G97,
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   MRCLASS = {65F05 (15A99 65D32)},
  MRNUMBER = {MR1483681 (99d:65090)},
MRREVIEWER = {Stephen W. Brady},
}

@article {HL69,
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  FJOURNAL = {Mathematics of Computation},
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      YEAR = {1969},
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  MRNUMBER = {MR0258258 (41 \#2905)},
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}

@article {BG65,
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     TITLE = {Linear least squares
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   JOURNAL = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
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      YEAR = {1965},
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   MRCLASS = {65.20},
  MRNUMBER = {MR0176590 (31 \#862)},
}

@article {S97,
    AUTHOR = {Saunders, Michael A.},
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   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {37},
      YEAR = {1997},
    NUMBER = {1},
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      ISSN = {0006-3835},
     CODEN = {NBITAB},
   MRCLASS = {65F50 (65F10)},
  MRNUMBER = {MR1431361 (97i:65080)},
}
@article {BW97,
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    VOLUME = {18},
      YEAR = {1997},
    NUMBER = {1},
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     CODEN = {SJMAEL},
   MRCLASS = {65F10},
  MRNUMBER = {MR1428197 (97m:65061)},
MRREVIEWER = {Xinguo Liu},
}


@article{ADR92,
 author    = {Arioli, Mario and Duff, Iain and Ruiz, Daniel},
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 journal   = SIMAX,
 volume    = {13},
 number    = {1},
 year      = {1992},
 issn      = {0895-4798},
 pages     = {138--144},
 doi       = {http://dx.doi.org/10.1137/0613012},
 publisher = {SIAM},
 address   = {Philadelphia, PAA},
}


@book {M,
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     TITLE = {Numerical Computing with {MATLAB}},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {2004},
     PAGES = {xii+336},
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   MRCLASS = {65-01 (65-04)},
  MRNUMBER = {MR2065657},
  url      = {http://www.mathworks.com/moler/}
}



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    VOLUME = {7},
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    NUMBER = {4},
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      ISSN = {1070-5325},
     CODEN = {NLAAEM},
   MRCLASS = {65F10 (65F30)},
  MRNUMBER = {MR1762967 (2001f:65037)},
MRREVIEWER = {Lars Eld{\'e}n},
}

@book {B2,
    AUTHOR = {Bernstein, Dennis S.},
     TITLE = {Matrix Mathematics},
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 PUBLISHER = {Princeton University Press},
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   MRCLASS = {93-02 (15-01 93B25 93C05)},
  MRNUMBER = {MR2123424 (2005i:93001)},
}

@book {B,
    AUTHOR = {Bj{\"o}rck, {\AA}ke},
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 PUBLISHER = {SIAM},
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     PAGES = {xviii+408},
      ISBN = {0-89871-360-9},
   MRCLASS = {65-02 (65Fxx 65H99)},
  MRNUMBER = {MR1386889 (97g:65004)},
MRREVIEWER = {Hongyuan Zha},
}

@article {BE79,
    AUTHOR = {Bj{\"o}rck, {\AA}ke and Elfving, Tommy},
     TITLE = {Accelerated projection methods for computing pseudoinverse
              solutions of systems of linear equations},
   JOURNAL = {BIT},
  FJOURNAL = {BIT; Nordisk Tidskrift for Informationsbehandling (BIT)},
    VOLUME = {19},
      YEAR = {1979},
    NUMBER = {2},
     PAGES = {145--163},
      ISSN = {0006-3835},
     CODEN = {NBITAB},
   MRCLASS = {65F20 (65F10)},
  MRNUMBER = {MR537775 (80e:65048)},
MRREVIEWER = {R. P. Tewarson},
}

% Talk/presentation
@misc{Bjorck06,
    AUTHOR = {Bj{\"o}rck, {\AA}ke},
     TITLE = {Bidiagonal decomposition and statistical computing},
HOWPUBLISHED = {Presented at the 15th International Workshop on
                Matrices and Statistics, University of Uppsala, Sweden},
      YEAR = {2006}
}

%    SERIES = {CMS Books in Mathematics/Ouvrages de Math\'ematiques de la SMC, 15},
@book {BG,
    AUTHOR = {Ben-Israel, Adi and Greville, Thomas N. E.},
     TITLE = {Generalized Inverses: Theory and Applications},
   EDITION = {2nd},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {2003},
     PAGES = {xvi+420},
      ISBN = {0-387-00293-6},
   MRCLASS = {15A09 (47A05 47A50)},
  MRNUMBER = {MR1987382 (2004b:15008)},
}

@article {BDV89,
    AUTHOR = {Bunch, James R. and Demmel, James W. and Van Loan, Charles F.},
     TITLE = {The strong stability of algorithms for solving symmetric
              linear systems},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {10},
      YEAR = {1989},
    NUMBER = {4},
     PAGES = {494--499},
      ISSN = {0895-4798},
     CODEN = {SJMAEL},
   MRCLASS = {65F05 (65F30 65G05)},
  MRNUMBER = {MR1016798 (90m:65060)},
MRREVIEWER = {A. Bunse-Gerstner},
}

@article {CD00,
    AUTHOR = {Chen, Tzu-Yi and Demmel, James W.},
     TITLE = {Balancing sparse matrices for computing eigenvalues},
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  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {309},
      YEAR = {2000},
    NUMBER = {Issues 1-3},
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     CODEN = {LAAPAW},
   MRCLASS = {65F15 (65F50)},
  MRNUMBER = {MR1758370 (2001e:65058)},
MRREVIEWER = {Cs. J. Heged{\H{u}}s},
}


@article {BL03,
    AUTHOR = {Bai, Zhong-Zhi and Li, Gui-Qing},
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              systems of linear equations},
   JOURNAL = {IMA J. Numer. Anal.},
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     CODEN = {IJNADN},
   MRCLASS = {65F10},
  MRNUMBER = {MR2011340 (2004i:65025)},
MRREVIEWER = {Guo Liang Chen},
}


@article {BS99,
    AUTHOR = {Bunse-Gerstner, Angelika and St{\"o}ver, Ronald},
     TITLE = {On a conjugate gradient-type method for solving complex
              symmetric linear systems},
      NOTE = {Special issue celebrating the 60th birthday of Ludwig Elsner},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {287},
      YEAR = {1999},
    NUMBER = {1-3},
     PAGES = {105--123},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F50},
  MRNUMBER = {MR1662863 (99j:65078)},
MRREVIEWER = {S. F. McCormick},
}

@article {BV01,
    AUTHOR = {Bobrovnikova, Elena Y. and Vavasis, Stephen A.},
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   JOURNAL = {SIAM J. Matrix Anal. Appl.},
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  MRNUMBER = {MR1824063 (2002e:65044)},
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@article {C03,
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}

@article {CG96,
    AUTHOR = {Cullum, Jane and Greenbaum, Anne},
     TITLE = {Relations between {G}alerkin and norm-minimizing iterative
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}

@article {CT04,
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@article {CW97,
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  MRNUMBER = {MR1480631 (98m:65040)},
MRREVIEWER = {Marc Van Barel},
}

@book {D,
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     TITLE = {Applied Numerical Linear Algebra},
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@article {D98,
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              computations},
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}

@incollection {F76,
    AUTHOR = {Fletcher, Roger},
     TITLE = {Conjugate gradient methods for indefinite systems},
 BOOKTITLE = {Numerical Analysis (Proc 6th Biennial Dundee Conf., Univ.
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 PUBLISHER = {Springer},
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  MRNUMBER = {MR0461857 (57 \#1841)},
MRREVIEWER = {W. Borsch-Supan},
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@article {F93,
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              non-{H}ermitian linear systems},
   JOURNAL = {SIAM J. Sci. Comput.},
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      YEAR = {1993},
    NUMBER = {2},
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     CODEN = {SJOCE3},
   MRCLASS = {65F30},
  MRNUMBER = {MR1204242 (93m:65058)},
}

@article {F99,
    AUTHOR = {Freund, Roland W.},
     TITLE = {Conjugate gradient-type methods for linear systems with
              complex symmetric coefficient matrices},
   JOURNAL = {SIAM J. Sci. Statist. Comput.},
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              Scientific and Statistical Computing},
    VOLUME = {13},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {425--448},
      ISSN = {0196-5204},
     CODEN = {SIJCD4},
   MRCLASS = {65F10 (65F20 65F50 65N22)},
  MRNUMBER = {MR1145195 (92i:65066)},
}

@book {FF63,
    AUTHOR = {Faddeev, Dmitrii K. and Faddeeva, V. N.},
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    SERIES = {Translated by Robert C. Williams},
 PUBLISHER = {W. H. Freeman and Co.},
   ADDRESS = {San Francisco},
      YEAR = {1963},
     PAGES = {xi+621},
   MRCLASS = {65.35},
  MRNUMBER = {MR0158519 (28 \#1742)},
MRREVIEWER = {A. S. Householder},
}

@article {FN91,
    AUTHOR = {Freund, Roland W. and Nachtigal, No{\"e}l M.},
     TITLE = {Q{MR}: a quasi-minimal residual method for non-{H}ermitian
              linear systems},
   JOURNAL = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {60},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {315--339},
      ISSN = {0029-599X},
     CODEN = {NUMMA7},
   MRCLASS = {65F10},
  MRNUMBER = {MR1137197 (92g:65034)},
}

@inproceedings {GTVV96,
    AUTHOR = {Gallivan, Kyle A. and Thirumalai, S. and Van Dooren,  Paul  and
              Vermaut, V.},
     TITLE = {High performance algorithms for {T}oeplitz and block
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 BOOKTITLE = {Proc. Fourth Conference of the International
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   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {241/243},
      YEAR = {1996},
     PAGES = {343--388},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {65F30 (15A57)},
  MRNUMBER = {MR1400449 (97k:65102)},
MRREVIEWER = {Israel Koltracht},
}

@article {B02,
    AUTHOR = {Benzi, Michele},
     TITLE = {Preconditioning techniques for large linear systems: a
survey},
   JOURNAL = {J. Comput. Phys.},
  FJOURNAL = {Journal of Computational Physics},
    VOLUME = {182},
      YEAR = {2002},
    NUMBER = {2},
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     CODEN = {JCTPAH},
   MRCLASS = {65F10 (65F50)},
  MRNUMBER = {MR1941848 (2003j:65026)},
}

@article {Z97,
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     TITLE = {Solving large-scale linear programs by interior-point methods
              under the {MATLAB} environment},
   JOURNAL = {Optim. Methods Softw.},
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    VOLUME = {10},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {1--31},
      ISSN = {1055-6788},
     CODEN = {OMSOE2},
   MRCLASS = {90-04 (90C05)},
  MRNUMBER = {MR1671584},
}


% SERIES = {Johns Hopkins Series in the Mathematical Sciences},
% VOLUME = {3},
@book {GV2nd,
    AUTHOR = {Golub, Gene H. and Van Loan, Charles F.},
     TITLE = {Matrix Computations},
   EDITION = {2nd},
 PUBLISHER = {Johns Hopkins University Press},
   ADDRESS = {Baltimore, MD},
      YEAR = {1989},
     PAGES = {xxii+642},
      ISBN = {0-8018-3772-3; 0-8018-3739-1},
   MRCLASS = {65Fxx (65-02)},
  MRNUMBER = {MR1002570 (90d:65055)},
MRREVIEWER = {Perry Smith},
}






%   SERIES = {Johns Hopkins Studies in the Mathematical Sciences},
@book {GV,
    AUTHOR = {Golub, Gene H. and Van Loan, Charles F.},
     TITLE = {Matrix Computations},
   EDITION = {3rd},
 PUBLISHER = {Johns Hopkins University Press},
   ADDRESS = {Baltimore, MD},
      YEAR = {1996},
     PAGES = {xxx+698},
      ISBN = {0-8018-5413-X; 0-8018-5414-8},
   MRCLASS = {65-02 (65Fxx)},
  MRNUMBER = {MR1417720 (97g:65006)},
}

@article {G65,
    AUTHOR = {Golub, Gene H.},
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   JOURNAL = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {7},
      YEAR = {1965},
     PAGES = {206--216},
      ISSN = {0029-599X},
   MRCLASS = {65.20},
  MRNUMBER = {MR0181094 (31 \#5323)},
MRREVIEWER = {W. J. Kotz{\'e}},
}

@article {GK65,
    AUTHOR = {Golub, Gene H. and Kahan, William M.},
     TITLE = {Calculating the singular values and pseudo-inverse of a
              matrix},
   JOURNAL = {J. Soc. Indust. Appl. Math. Ser. B Numer. Anal.},
    VOLUME = {2},
      YEAR = {1965},
     PAGES = {205--224},
   MRCLASS = {65.35},
  MRNUMBER = {MR0183105 (32 \#587)},
}


@article {GW66,
    AUTHOR = {Golub, G. H. and Wilkinson, J. H.},
     TITLE = {Note on the iterative refinement of least squares solution},
   JOURNAL = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {9},
      YEAR = {1966},
     PAGES = {139--148},
      ISSN = {0029-599X},
   MRCLASS = {65.20},
  MRNUMBER = {MR0212984 (35 \#3849)},
MRREVIEWER = {W. J. Kotz{\'e}},
}

@article {GMPS92,
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              and Saunders, Michael A.},
     TITLE = {Preconditioners for indefinite systems arising in
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    VOLUME = {13},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {292--311},
      ISSN = {0895-4798},
     CODEN = {SJMAEL},
   MRCLASS = {65K05 (65F05 65F10 90C30)},
  MRNUMBER = {MR1146667 (92j:65088)},
}

@book {GMW,
    AUTHOR = {Gill, Philip E. and Murray, Walter and Wright, Margaret H.},
     TITLE = {Numerical Linear Algebra and Optimization. {V}ol.\ 1},
 PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
   ADDRESS = {Redwood City, CA},
      YEAR = {1991},
     PAGES = {xx+426},
      ISBN = {0-201-12649-4},
   MRCLASS = {65-01 (65Fxx 65K05 90-01 90Cxx)},
  MRNUMBER = {MR1074004 (92b:65001)},
MRREVIEWER = {Sven-{\AA}ke Gustafson},
}

@article {GR01,
    AUTHOR = {Gutknecht, Martin H. and Rozlo{\v{z}}nik, Miroslav},
     TITLE = {Residual smoothing techniques: do they improve the limiting
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   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {41},
      YEAR = {2001},
    NUMBER = {1},
     PAGES = {86--114},
      ISSN = {0006-3835},
   MRCLASS = {65F10},
  MRNUMBER = {MR1829663 (2002b:65048)},
MRREVIEWER = {Jin Xi Zhao},
}

@article {G94,
    AUTHOR = {Gulliksson, M.},
     TITLE = {Iterative refinement for constrained and weighted linear least
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   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {34},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {239--253},
      ISSN = {0006-3835},
     CODEN = {NBITAB},
   MRCLASS = {65F10 (65G05)},
  MRNUMBER = {MR1429701 (97k:65080)},
}

@book {H,
    AUTHOR = {Higham, Nicholas J.},
     TITLE = {Accuracy and Stability of Numerical Algorithms},
   EDITION = {2nd},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {2002},
     PAGES = {xxx+680},
      ISBN = {0-89871-521-0},
   MRCLASS = {65G50 (65-02)},
  MRNUMBER = {MR1927606 (2003g:65064)},
}

@book{He,
 author = {Michael T. Heath},
 editor = {Eric M. Munson},
 title = {Scientific Computing: An Introductory Survey},
 year = {1996},
 isbn = {0070276846},
 publisher = {McGraw-Hill Higher Education},
}

 @article {H01,
    AUTHOR = {Hager, William W.},
     TITLE = {Iterative methods for nearly singular linear systems},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {22},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {747--766},
      ISSN = {1064-8275},
   MRCLASS = {65F10 (65F50 65Y20 90C22)},
  MRNUMBER = {MR1780623 (2001g:65031)},
MRREVIEWER = {Henry Wolkowicz},
}

@article {H91,
    AUTHOR = {Higham, Nicholas J.},
     TITLE = {Iterative refinement enhances the stability of {$QR$}
              factorization methods for solving linear equations},
   JOURNAL = {BIT},
  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {31},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {447--468},
      ISSN = {0006-3835},
     CODEN = {NBITAB},
   MRCLASS = {65F05 (65F10 65G05)},
  MRNUMBER = {MR1127486 (92h:65043)},
MRREVIEWER = {James Weldon Demmel},
}


@article {HS52,
    AUTHOR = {Hestenes, Magnus R. and Stiefel, Eduard},
     TITLE = {Methods of conjugate gradients for solving linear systems},
   JOURNAL = {J. Research Nat. Bur. Standards},
  FJOURNAL = {Journal of Research of the National Bureau of Standards},
    VOLUME = {49},
      YEAR = {1952},
     PAGES = {409--436},
      ISSN = {0160-1741},
   MRCLASS = {65.0X},
  MRNUMBER = {MR0060307 (15,651a)},
MRREVIEWER = {A. S. Householder},
}


@article {IC98,
    AUTHOR = {Ipsen, Ilse C. F. and Meyer, Carl D.},
     TITLE = {The idea behind {K}rylov methods},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {105},
      YEAR = {1998},
    NUMBER = {10},
     PAGES = {889--899},
      ISSN = {0002-9890},
     CODEN = {AMMYAE},
   MRCLASS = {65F10},
  MRNUMBER = {MR1656931 (99g:65040)},
}


@article {K88,
    AUTHOR = {Kaasschieter, Enrique F.},
     TITLE = {Preconditioned conjugate gradients for solving singular systems},
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      YEAR = {1988},
    NUMBER = {1-2},
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      ISSN = {0377-0427},
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   MRCLASS = {65F10 (65F35)},
  MRNUMBER = {MR976617 (90a:65067)},
MRREVIEWER = {Paul S. Jensen},
}

@article {KS99,
    AUTHOR = {Kilmer, Misha and Stewart, G. W.},
     TITLE = {Iterative regularization and {MINRES}},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {21},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {613--628},
      ISSN = {0895-4798},
   MRCLASS = {65F10},
  MRNUMBER = {MR1742813 (2001k:65063)},
}

@article {LDBH02,
    AUTHOR = {Li, Xiaoye S. and  James W. Demmel and David H. Bailey and Greg Henry and Yozo Hida
    and Jimmy Iskandar and William Kahan and Suh Y. Kang and  Anil Kapur and  Michael C. Martin  and Brandon J. Thompson and Teresa Tung and Daniel J. Yoo},
     TITLE = {Design, implementation and testing of extended and mixed
              precision {BLAS}},
   JOURNAL = {ACM Trans. Math. Software},
  FJOURNAL = {Association for Computing Machinery. Transactions on
              Mathematical Software},
    VOLUME = {28},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {152--205},
      ISSN = {0098-3500},
     CODEN = {ACMSCU},
   MRCLASS = {65Fxx (65-04 65Y20)},
  MRNUMBER = {MR1928066 (2003h:65029)},
}

@article {LG04,
    AUTHOR = {Livne, Oren E. and Golub, Gene H.},
     TITLE = {Scaling by binormalization},
   JOURNAL = {Numer. Algorithms},
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    VOLUME = {35},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {97--120},
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  MRNUMBER = {MR2041806 (2004m:65059)},
MRREVIEWER = {Yimin Wei},
}

@article {LLP97,
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  MRNUMBER = {MR1475377 (98f:65037)},
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@article {M91,
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    VOLUME = {154/156},
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MRREVIEWER = {William W. Hager},
}

@article {MGW00,
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     TITLE = {A note on preconditioning for indefinite linear systems},
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    VOLUME = {21},
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   MRCLASS = {65F35 (65F20)},
  MRNUMBER = {MR1762024 (2001a:65055)},
}

@article {FHH96,
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      NOTE = {Orthogonal polynomials and numerical analysis (Luminy, 1994)},
   JOURNAL = {Numer. Algorithms},
  FJOURNAL = {Numerical Algorithms},
    VOLUME = {11},
      YEAR = {1996},
    NUMBER = {1-4},
     PAGES = {181--187},
      ISSN = {1017-1398},
   MRCLASS = {65F10},
  MRNUMBER = {MR1383383 (96m:65037)},
}
		

@article {FRSW98,
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      ISSN = {0006-3835},
   MRCLASS = {65F10 (65F35 65F50)},
  MRNUMBER = {MR1652781 (99i:65031)},
MRREVIEWER = {Jin Yun Yuan},
}

@incollection {N90,
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     TITLE = {Solving positive (semi)definite linear systems by
              preconditioned iterative methods},
 BOOKTITLE = {Preconditioned Conjugate Gradient Methods (Nijmegen, 1989)},
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    VOLUME = {1457},
     PAGES = {105--125},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1990},
   MRCLASS = {65F10 (65F35 65N22)},
  MRNUMBER = {MR1101631 (92b:65026)},
}

@article {NV98,
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     TITLE = {Preconditioning of indefinite and almost singular finite
              element elliptic equations},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {19},
      YEAR = {1998},
    NUMBER = {5},
     PAGES = {1471--1485},
      ISSN = {1064-8275},
   MRCLASS = {65N30 (65F35)},
  MRNUMBER = {MR1618788 (98m:65196)},
}

@inproceedings {P94,
    AUTHOR = {Paige, Christopher C.},
     TITLE = {Krylov subspace processes, {K}rylov subspace methods, and
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 BOOKTITLE = {Proceedings of the Cornelius Lanczos International Centenary
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     PAGES = {83--92},
 PUBLISHER = {SIAM. Philadelphia, PA},
      YEAR = {1994},
   MRCLASS = {65F15 (65F10)},
  MRNUMBER = {MR1298224 (95e:65036)},
}

@article {PS02,
    AUTHOR = {Paige, Christopher C. and Strako{\v{s}}, Zden{\v{e}}k},
     TITLE = {Residual and Backward Error Bounds in Minimum Residual {K}rylov Subspace Methods},
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  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {23},
      YEAR = {2002},
    NUMBER = {6},
     PAGES = {1899--1924}
}


% SERIES = {Classics in Applied Mathematics},
%    VOLUME = {20},
@book {P98,
    AUTHOR = {Parlett, Beresford N.},
     TITLE = {The Symmetric Eigenvalue Problem},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {1998},
     PAGES = {xxiv+398},
      ISBN = {0-89871-402-8},
   MRCLASS = {65F15 (15A18)},
  MRNUMBER = {MR1490034 (99c:65072)},
MRREVIEWER = {F. Szidarovszky},
}

@article {PB92,
    AUTHOR = {Papadrakakis, Manolis and Bitoulas, N.},
     TITLE = {Accuracy and effectiveness of preconditioned conjugate
              gradient algorithms for large and ill-conditioned problems},
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    NUMBER = {3-4},
     PAGES = {219--232},
      ISSN = {0045-7825},
     CODEN = {CMMECC},
   MRCLASS = {73V05},
  MRNUMBER = {MR1245977 (94f:73072)},
}

@article {P76,
    AUTHOR = {Paige, Christopher C.},
     TITLE = {Error analysis of the {L}anczos algorithm for tridiagonalizing
              a symmetric matrix},
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  FJOURNAL = {Journal of the Institute of Mathematics and its Applications},
    VOLUME = {18},
      YEAR = {1976},
    NUMBER = {3},
     PAGES = {341--349},
      ISSN = {0020-2932},
   MRCLASS = {65F30},
  MRNUMBER = {MR0501834 (58 \#19082)},
MRREVIEWER = {G. W. Stewart},
}

@article {PRS06,
    AUTHOR = {Paige, Christopher C. and Rozlo{\v{z}}n{\'{\i}}k, Miroslav and
              Strako{\v{s}}, Zden{\v{e}}k},
     TITLE = {Modified {G}ram-{S}chmidt ({MGS}), least squares, and backward
              stability of {MGS}-{GMRES}},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {28},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {264--284},
      ISSN = {0895-4798},
   MRCLASS = {65F10},
  MRNUMBER = {MR2218953},
}


@article {PS01,
    AUTHOR = {Paige, Christopher C. and Strako{\v{s}}, Zden{\v{e}}k},
     TITLE = {Residual and backward error bounds in minimum residual
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   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
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    NUMBER = {6},
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      ISSN = {1064-8275},
   MRCLASS = {65F10 (65G30)},
  MRNUMBER = {MR1923718 (2003g:65045)},
MRREVIEWER = {Arnold Reusken},
}

@article {RZ99,
    AUTHOR = {Ren, Wei-qing and Zhao, Jin-xi},
     TITLE = {Iterative methods with preconditioners for indefinite systems},
   JOURNAL = {J. Comput. Math.},
  FJOURNAL = {Journal of Computational Mathematics. An International Journal
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    VOLUME = {17},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {89--96},
      ISSN = {0254-9409},
     CODEN = {JCMMEB},
   MRCLASS = {65F10},
  MRNUMBER = {MR1681883 (2000a:65042)},
}

@book {S,
    AUTHOR = {Saad, Yousef},
     TITLE = {Iterative Methods for Sparse Linear Systems},
   EDITION = {2nd},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {2003},
     PAGES = {xviii+528},
      ISBN = {0-89871-534-2},
   MRCLASS = {65-01 (65F10 65F50)},
  MRNUMBER = {MR1990645 (2004h:65002)},
MRREVIEWER = {Arnold Reusken},
}

@article {S87,
    AUTHOR = {Saad, Youcef},
     TITLE = {On the {L}anczos method for solving symmetric linear systems
              with several right-hand sides},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {48},
      YEAR = {1987},
    NUMBER = {178},
     PAGES = {651--662},
      ISSN = {0025-5718},
     CODEN = {MCMPAF},
   MRCLASS = {65F10 (65F50)},
  MRNUMBER = {MR878697 (88d:65066)},
}

@article {SG95,
    AUTHOR = {Simoncini, Valeria  and Gallopoulos, Efstratios},
     TITLE = {An iterative method for nonsymmetric systems with multiple
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   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
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   MRCLASS = {65F10 (15A06 65Y20)},
  MRNUMBER = {MR1335897 (96h:65053)},
MRREVIEWER = {R. E. Funderlic},
}

@article {S89,
    AUTHOR = {Sonneveld, Peter},
     TITLE = {C{GS}, a fast {L}anczos-type solver for nonsymmetric linear
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   JOURNAL = {SIAM J. Sci. Statist. Comput.},
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    VOLUME = {10},
      YEAR = {1989},
    NUMBER = {1},
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      ISSN = {0196-5204},
     CODEN = {SIJCD4},
   MRCLASS = {65F50},
  MRNUMBER = {MR976160 (89k:65052)},
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@article {SS86,
    AUTHOR = {Saad, Youcef and Schultz, Martin H.},
     TITLE = {G{MRES}: a generalized minimal residual algorithm for solving
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   JOURNAL = {SIAM J. Sci. Statist. Comput.},
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    VOLUME = {7},
      YEAR = {1986},
    NUMBER = {3},
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      ISSN = {0196-5204},
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  MRNUMBER = {MR848568 (87g:65064)},
}

@article {S95,
    AUTHOR = {Saunders, Michael A.},
     TITLE = {Solution of sparse rectangular systems using {LSQR} and
              {C}raig},
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  FJOURNAL = {BIT. Numerical Mathematics},
    VOLUME = {35},
      YEAR = {1995},
    NUMBER = {4},
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  MRNUMBER = {MR1431351 (97i:65070)},
}

@article {S99,
    AUTHOR = {Stewart, G. W.},
     TITLE = {The {QLP} approximation to the singular value decomposition},
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      ISSN = {1064-8275},
   MRCLASS = {65F05 (65F15)},
  MRNUMBER = {MR1691043 (2000b:65047)},
}

@article {SVM00,
    AUTHOR = {Sleijpen, Gerard L. G. and Van der Vorst, Henk A. and
              Modersitzki, Jan},
     TITLE = {Differences in the effects of rounding errors in {K}rylov
              solvers for symmetric indefinite linear systems},
   JOURNAL = {SIAM J. Matrix Anal. Appl.},
  FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
    VOLUME = {22},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {726--751},
      ISSN = {0895-4798},
   MRCLASS = {65F10 (65N12)},
  MRNUMBER = {MR1785632 (2001j:65058)},
MRREVIEWER = {Larisa V. Maslovskaya},
}

@book {OS,
    AUTHOR = {Oliveira, Suely and Stewart, David},
     TITLE = {Writing Scientific Software: A Guide to Good Style},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge, UK},
      YEAR = {2006},
     PAGES = {xii+303},
      ISBN = {978-0-521-85896-0}
}

@book {TB,
    AUTHOR = {Trefethen, Lloyd N. and Bau, III, David},
     TITLE = {Numerical Linear Algebra},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {1997},
     PAGES = {xii+361},
      ISBN = {0-89871-361-7},
   MRCLASS = {65-01 (65-02 65Fxx)},
  MRNUMBER = {MR1444820 (98k:65002)},
MRREVIEWER = {Moody T. Chu},
}

@article {T72,
    AUTHOR = {Thompson, Robert C.},
     TITLE = {Principal submatrices. {IX}. {I}nterlacing inequalities for
              singular values of submatrices},
   JOURNAL = {Linear Algebra and Appl.},
    VOLUME = {5},
      YEAR = {1972},
     PAGES = {1--12},
   MRCLASS = {15A42},
  MRNUMBER = {MR0297791 (45 \#6843)},
MRREVIEWER = {E. Deutsch},
}

@article {TPC04,
    AUTHOR = {Toh, Kim-Chuan and Phoon, Kok-Kwang and Chan, Swee-Huat},
     TITLE = {Block preconditioners for symmetric indefinite linear systems},
   JOURNAL = {Internat. J. Numer. Methods Engrg.},
  FJOURNAL = {International Journal for Numerical Methods in Engineering},
    VOLUME = {60},
      YEAR = {2004},
    NUMBER = {8},
     PAGES = {1361--1381},
      ISSN = {0029-5981},
     CODEN = {IJNMBH},
   MRCLASS = {65F10},
  MRNUMBER = {MR2068168 (2005b:65034)},
}

%    SERIES = {Cambridge Monographs on Applied and Computational Mathematics},
%    VOLUME = {13},
@book {V,
    AUTHOR = {Van der Vorst, Henk A.},
     TITLE = {Iterative {K}rylov Methods for Large Linear Systems},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2003},
     PAGES = {xiv+221},
      ISBN = {0-521-81828-1},
   MRCLASS = {65F10 (65F50)},
  MRNUMBER = {MR1990752 (2005k:65075)},
}

@article {V92,
    AUTHOR = {Van der Vorst, Henk A.},
     TITLE = {Bi-{CGSTAB}: a fast and smoothly converging variant of
              {B}i-{CG} for the solution of nonsymmetric linear systems},
   JOURNAL = {SIAM J. Sci. Statist. Comput.},
  FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
              Scientific and Statistical Computing},
    VOLUME = {13},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {631--644},
      ISSN = {0196-5204},
     CODEN = {SIJCD4},
   MRCLASS = {65F10},
  MRNUMBER = {MR1149111 (92j:65048)},
}

@article {VB96,
    AUTHOR = {Vandenberghe, Lieven and Boyd, Stephen},
     TITLE = {Semidefinite programming},
   JOURNAL = {SIAM Rev.},
  FJOURNAL = {SIAM Review. A Publication of the Society for Industrial and
              Applied Mathematics},
    VOLUME = {38},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {49--95},
      ISSN = {0036-1445},
     CODEN = {SIREAD},
   MRCLASS = {90-02 (90C25)},
  MRNUMBER = {MR1379041 (96m:90005)},
MRREVIEWER = {Henry Wolkowicz},
}

@article {VBG96,
    AUTHOR = {Varadhan, Sowmini and Berry, Michael W. and Golub, Gene H.},
     TITLE = {Approximating dominant singular triplets of large sparse
              matrices via modified moments},
   JOURNAL = {Numer. Algorithms},
  FJOURNAL = {Numerical Algorithms},
    VOLUME = {13},
      YEAR = {1996},
    NUMBER = {1-2},
     PAGES = {123--152},
      ISSN = {1017-1398},
   MRCLASS = {65F50 (65F15)},
  MRNUMBER = {MR1417686 (97g:65104)},
}

@inproceedings {Y96,
    AUTHOR = {Yuan, Jin Yun},
     TITLE = {Numerical methods for generalized least squares problems},
 BOOKTITLE = {Proceedings of the Sixth International Congress on
              Computational and Applied Mathematics (Leuven, 1994)},
   JOURNAL = {J. Comput. Appl. Math.},
  FJOURNAL = {Journal of Computational and Applied Mathematics},
    VOLUME = {66},
      YEAR = {1996},
     PAGES = {571--584},
      ISSN = {0377-0427},
     CODEN = {JCAMDI},
   MRCLASS = {65F10},
  MRNUMBER = {MR1393759 (97b:65040)},
}

@comment{
============Mathematics PhD Thesis ======================================================
}
@phdthesis{K08,
  author = {Kaustuv},
  title  = {IPSOL: An Interior Point Solver for Nonconvex Optimization Problems},
  school = {SCCM Program, Stanford University, CA},
  year   = {2008}
}

@phdthesis{B10,
  author = {Bradley, Andrew},
  title  = {{Algorithms for the Equilibration of Matrices and Their Application
             to Limited-Memory Quasi-Newton Methods}},
  school = {ICME, Stanford University, CA},
  year   = {2010}
}
@phdthesis{C06,
  author = {Choi, Sou-Cheng Terrya},
  title  = {{Iterative Methods for Singular Linear Equations and Least-Squares Problems}},
  school = {ICME, Stanford University, CA},
  year   = {2006}
}

@phdthesis{L98,
  author = {Larsen, Rasmus M.},
  title  = {Efficient Algorithms for Helioseismic Inversion},
  school = {Dept of Computer Science, University of Aarhus},
  year   = {1998}
}

@Misc{PROPACK,
     author = {Larsen, Rasmus M.},
      title = {{PROPACK} downloadable software},
howpublished= {\url{http://soi.stanford.edu/~rmunk/PROPACK/index.html}}
}

@Misc{StanfordWeb,
     author = {Kamvar, Sepandar D.},
      title = {{Stanford Web Matrix} downloadable data},
howpublished= {\url{http://nlp.stanford.edu/~sdkamvar/data/stanford-web.tar.gz}}
}

@Misc{CiteSeer,
        key = {{CiteSeer}},
      title = {{CiteSeer.IST Scientific Digital Library}},
howpublished= {\url{http://citeseer.ist.psu.edu/}}
}

@phdthesis{L76,
 author    = {Lewis, John G.},
 title     = {{Algorithms for Sparse Matrix Eigenvalue Problems}},
 school    = {Dept of Computer Science, Stanford University, CA},
 year      =  1976
}

@comment{
============Mathematics not published======================================================
}

@techreport{C75,
AUTHOR      = {Chen, Y. T.},
TITLE       = {Iterative Methods for Linear Least-Squares Problems},
INSTITUTION = {Department of Computer Science,   University of Waterloo},
ADDRESS     = {ON, Canada},
TYPE        = {Res. Rep.},
number      = {CS-75-04},
YEAR        =  1975
}

@Misc{C94,
AUTHOR      = {Claerbout, Jon},
      title = {Hypertext Documents about Reproducible Research},
howpublished= {\url{http://sepwww.stanford.edu}}
}

@Misc{CD02,
AUTHOR      = {Choi, Sou-Cheng and Donoho, David L. and Flesia, Ana Georgina and
Huo, Xiaoming and Levi, Ofer and Shi, Danzhu},
      title = {{About BeamLab---a Toolbox for New Multiscale Methodologies}},
howpublished= {\url{http://www-stat.stanford.edu/~beamlab/}},
YEAR        =  2002
}

@article {DH04,
    AUTHOR = {Donoho, David L. and Huo, Xiaoming},
     TITLE = {{BeamLab and reproducible research}},
   JOURNAL = {Int. J. Wavelets Multiresolut. Inf. Process.},
  FJOURNAL = {International Journal of Wavelets, Multiresolution and
              Information Processing},
    VOLUME = {2},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {391--414},
      ISSN = {0219-6913},
   MRCLASS = {62-07 (42C40)},
  MRNUMBER = {MR2104872},
}

@inproceedings{FN94,
    author = {Freund, Roland W. and Nachtigal, No{\"e}l M.},
    title = {A New {K}rylov-Subspace Method for Symmetric Indefinite Linear Systems},
    booktitle = {Proceedings of the 14th {IMACS} World Congress on Computational and Applied Mathematics},
    publisher = {IMACS},
    editor = {W. F. Ames},
    pages = {1253--1256},
    year = 1994,
    url = {citeseer.ist.psu.edu/article/freund94new.html}
}

@techreport{GG04,
AUTHOR      = {Golub, Gene H. and Greif, Chen},
TITLE       = {Arnoldi-type algorithms for computing stationary distribution vectors, with application to {PageRank}},
INSTITUTION = {SCCM, Stanford University CA},
ADDRESS     = {CA},
TYPE        = {Report},
number      = {SCCM-04-15},
YEAR        = 2004
}

@article{GG06,
    AUTHOR = {Golub, Gene H. and Greif, Chen},
     TITLE = {An {A}rnoldi-type algorithm for computing {P}age{R}ank},
   JOURNAL = {BIT Numerical Mathematics},
    VOLUME = {published online (Springerlink)},
      YEAR = {2006}
}

@comment{
=================COMPUTER SCIENCE======================================================
}

@inproceedings{BP98,
 author = {Brin, Sergey  and Page, Lawrence},
 title = {The anatomy of a large-scale hypertextual Web search engine},
 booktitle = {WWW7: Proceedings of the Seventh International Conference on World Wide Web},
 year = {1998},
 pages = {107--117},
 location = {Brisbane, Australia},
 doi = {http://dx.doi.org/10.1016/S0169-7552(98)00110-X},
 publisher = {Elsevier  Science Publishers B. V., Amsterdam, The Netherlands}
}

@inproceedings{BYKS04,
 author = {Browne, James C.  and Yalamanchi, Madulika and Kane, Kevin
                  and Sankaralingam, Karthikeyan},
 title = {General parallel computations on desktop grid and P2P systems},
 booktitle = {LCR '04: Proceedings of the 7th Workshop on Languages,
                  Compilers, and Run-Time Support for Scalable
                  Systems},
 year = {2004},
 pages = {1--8},
 location = {Houston, Texas},
 doi = {http://doi.acm.org/10.1145/1066650.1066654},
 publisher = {ACM Press, New York, NY}
}

@techreport{GZB04,
    author  = {Gleich, David  and Zhukov, Leonid  and Berkhin, Pavel},
    title   = {Fast parallel {PageRank}: A linear system approach},
institution = {Yahoo! Research Labs},
    number  = {YRL-2004-038},
    year    = 2004,
    url     = {http://www.gg.caltech.edu/~zhukov/papers/ParallelPageRank-paper.pdf}
}

@book {Si,
    AUTHOR = {Sipser, Michael},
     TITLE = {Introduction to the Theory of Computation},
 PUBLISHER = {PWS Publishing Company},
   ADDRESS = {Boston, MA},
      YEAR = {1997},
      ISBN = {0534950973},
}

%    SERIES = {Software, Environments, and Tools},
%    VOLUME = {6},
% NOTE = {Solution of large-scale eigenvalue problems with implicitly restarted {Arnoldi} methods},
@book {ARPACK,
    AUTHOR = {Lehoucq, R. B. and Sorensen, D. C. and Yang, C.},
     TITLE = {A{RPACK} Users' Guide},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {1998},
     PAGES = {xvi+142},
      ISBN = {0-89871-407-9},
   MRCLASS = {65-04 (65Fxx)},
  MRNUMBER = {MR1621681},
}

@comment{
=====================OTHER FIELDS======================================================
}

@article {YN99,
    AUTHOR = {Yu, Hua-Gen and Nyman, Gunnar},
     TITLE = {A Spectral Transform Minimum Residual Filter
                  Diagonalization Method for Interior Eigenvalues of
                  Physical Systems},
   JOURNAL = {J. Chem. Phys.},
  FJOURNAL = {Journal of Chemical Physics},
    VOLUME = {110},
      YEAR = {1999},
    NUMBER = {23},
     PAGES = {11133--11140},
      ISSN = {0021-9606},
}

@comment{
================Michael's database======================================================
}

@Misc{AMPL,
      title = {{AMPL} modeling system},
howpublished= {\url{http://www.ampl.com}}
}

@article{BG69,
   AUTHOR  = {R. H. Bartels and G. H. Golub},
   TITLE   = {The simplex method of linear programming using the
               {LU} decomposition},
   JOURNAL = CACM,
     PAGES = {266--268},
   VOLUME  = {12},
   YEAR    = {1969}
}

@incollection{BSZ71,
 author    = "R. H. Bartels and J. Stoer and Ch. Zenger",
 title     = "A realization of the simplex method based on
              triangular decompositions",
 booktitle = "Handbook for Automatic Computation, Volume II",
 publisher = "Springer Verlag, Berlin, Heidelberg, New York",
 year      =  1971,
 editor    = "J. H. Wilkinson and C. Reinsch",
 pages     = "219--239"
}

@article{BBRR81,
 author   = "M. J. Best and J. Br{\"a}uninger and K. Ritter and S. M. Robinson",
 title    = "A globally and quadratically convergent algorithm
             for general nonlinear programming problems",
 journal  = "Computing",
 volume   =  26,
 pages    = "141--155",
 year     =  1981
}

@article{BM80,
AUTHOR  = {J. Bisschop and A. Meeraus},
JOURNAL = MP,
  PAGES = {7--15},
TITLE   = {Matrix augmentation and structure preservation in
           linearly constrained control problems},
VOLUME  = {18},
YEAR    = 1980
}

@article{Buc75,
 author   = "A. Buckley",
 title    = "An alternative implementation of {Goldfarb's}
             minimization algorithm",
 journal  =  MP,
 volume   =  8,
 pages    = "207--231",
 year     =  1975
}

@article{ByrNS94,
   AUTHOR  = {R. H. Byrd and J. Nocedal and R. B. Schnabel},
   TITLE   = {Representations of {quasi-Newton} matrices and their use in
              limited-memory methods},
   JOURNAL =  MP,
   VOLUME  =  63,
     PAGES = {129--156},
   YEAR    =  1994
}

@article {Lasso,
    AUTHOR = {Tibshirani, Robert},
     TITLE = {Regression shrinkage and selection via the lasso},
   JOURNAL = {J. Roy. Statist. Soc. Ser. B},
  FJOURNAL = {Journal of the Royal Statistical Society. Series B.
              Methodological},
    VOLUME = {58},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {267--288},
      ISSN = {0035-9246},
     CODEN = {JSTBAJ},
   MRCLASS = {62J05 (62J07)},
  MRNUMBER = {MR1379242 (96j:62134)},
}

@article {CDS98,
    AUTHOR = {Chen, Scott S. and Donoho, David L. and Saunders,
              Michael A.},
     TITLE = {Atomic decomposition by basis pursuit},
   JOURNAL = {SIAM J. Sci. Comput.},
  FJOURNAL = {SIAM Journal on Scientific Computing},
    VOLUME = {20},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {33--61},
      ISSN = {1064-8275},
   MRCLASS = {94A12 (41A45 65K05)},
  MRNUMBER = {MR1639094 (99h:94013)},
}

@article{CDS01,
   AUTHOR  = {Chen, Scott S. and Donoho, David L. and Saunders,
              Michael A.},
   TITLE   = {Atomic decomposition by basis pursuit},
   JOURNAL = SIREV,
   volume  = 43,
   number  = 1,
   pages   = {129--159},
   YEAR    = 2001
}

@article{CGT91,
    AUTHOR = {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
   JOURNAL = {SIAM J. Numer. Anal.},
     PAGES = {545--572},
     TITLE = {A globally convergent augmented {Lagrangian} algorithm for
                  optimization with general constraints and simple
                  bounds},
    VOLUME = {28},
      YEAR = 1991
}

%     SERIES = {Lecture Notes in Computation Mathematics 17},
@book{CGT92,
    AUTHOR = {A. R. Conn and N. I. M. Gould and Ph. L. Toint},
    ADDRESS = {Berlin, Heidelberg, New York, London, Paris and Tokyo},
  PUBLISHER = {Springer Verlag},
       ISBN = {3-540-55470-X 65-04},
      TITLE = {{LANCELOT}: A {Fortran} Package for Large-Scale Nonlinear
               Optimization {(Release A)}},
       YEAR = 1992
}

@article{CGST96,
 author    = "A. R. Conn and N. I. M. Gould and A. Sartenaer and Ph. L. Toint",
 title     = "Convergence properties of an augmented {L}agrangian algorithm
              for optimization with a combination of general
              equality and linear constraints",
 journal   =  SIOPT,
 volume    =  6,
 pages     = "674--703",
 year      =  1996
}

@Misc{UMFPACK,
     author = {Tim Davis},
      title = {{UMFPACK} solver for unsymmetric sparse linear systems},
howpublished= {\url{http://www.cise.ufl.edu/research/sparse/umfpack/}}
}

@Misc{UFSMC,
       key  = {UFSMC},
      title = {{U}niversity of {F}lorida Sparse Matrix Collection},
howpublished= {\url{http://www.cise.ufl.edu/research/sparse/matrices/}}
}

@book{DenS83,
 author    = "J. E. Dennis and R. B. Schnabel",
 title     = "Numerical Methods for Unconstrained Optimization
              and Nonlinear Equations",
 publisher = "Prentice-Hall, Englewood Cliffs, NJ",
 note      = "Reprinted as Classics in Applied Mathematics 16,
              SIAM, PA, 1996",
 year      =  1983,
}

@article{MA48,
 author    = "I. S. Duff and J. K. Reid",
 title     = "The design of {MA48}:
              a code for the direct solution of
              sparse unsymmetric linear systems of equations",
 journal   =  TOMS,
 volume    = "22(2)",
 pages     = "187--226",
 year      =  1996
}

@article{MA57,
 author    = "I. S. Duff",
 title     = "{MA57}:
              a {Fortran} code for the solution of
              sparse symmetric definite and indefinite systems",
 journal   =  TOMS,
 volume    =  "to appear",
 pages     = "{\ }",
 year      =  2004
}

@article{EldS92,
     AUTHOR = {S. K. Eldersveld and M. A. Saunders},
    JOURNAL = SIMAX,
      PAGES = {191-201},
      TITLE = {A block-{LU} update for large-scale linear programming},
     VOLUME = {13},
       YEAR = 1992
}

@incollection{Fle74,
 author    = "R. Fletcher",
 title     = "Methods related to {Lagrangian} functions",
 booktitle = "Numerical Methods for Constrained Optimization",
 publisher = "Academic Press, London",
 year      =  1974,
 editor    = "P. E. Gill and W. Murray",
 pages     = "219--239"
}

@article{FG92,
  AUTHOR = {J. J. Forrest and D. Goldfarb},
 JOURNAL = MP,
   PAGES = {341--374},
   TITLE = {Steepest-edge simplex algorithms for linear programming},
  VOLUME = {57},
    YEAR = 1992
}

@article{FT72,
     AUTHOR = {J. J. H. Forrest and J. A. Tomlin},
    JOURNAL = MP,
      PAGES = {263--278},
      TITLE = {Updating triangular factors of the basis to maintain
            sparsity in the product form simplex method},
     VOLUME = {2},
       YEAR = {1972}
}

@article{ForG98,
 author   = "A. Forsgren and P. E. Gill",
 title    = "Primal-dual interior methods
             for nonconvex nonlinear programming",
 journal  =  SIOPT,
 volume   =  8,
 number   =  4,
 pages    = "1132--1152",
 year     =  1998
}

@article{FGW02,
 author   = "A. Forsgren and P. E. Gill and M. H. Wright",
 title    = "Interior methods for nonlinear optimization",
 journal  =  SIREV,
 volume   =  44,
 number   =  4,
 pages    = "525--597",
 year     =  2002
}

@article{FouM91,
author      = {R. Fourer and S. Mehrotra},
title       = {Performance of an augmented system approach for solving
               least-squares problems in an interior-point method
               for linear programming},
journal     = MP,
volume      = 19,
month       = {August},
pages       = {26--31},
year        = 1991
}

@phdthesis{Fri02,
 author    = "M. P. Friedlander",
 title     = "{A Globally Convergent Linearly Constrained Lagrangian Method
              for Nonlinear Optimization}",
 school    = "Dept of Management Science and Engineering,
              Stanford University, CA",
 year      =  2002
}

@unpublished{FriS03,
	Author = {M. P. Friedlander and M. A. Saunders},
	Note = {Presentation at {ISMP 2003}, Copenhagen},
	Title = {An {LCL} algorithm for constrained optimization},
	Year = 2003}

@article{FriS05,
	Author = {M. P. Friedlander and M. A. Saunders},
	Journal = SIOPT,
	Number = 3,
	Pages = {863-897},
	Title = {A globally convergent linearly constrained {Lagrangian} method
                 for nonlinear optimization},
	Volume = 15,
	Year = 2005}

@Misc{GAMS,
      title = {{GAMS} modeling system},
howpublished= {\url{http://www.gams.com}}
}

@techreport{GilHMSW86,
AUTHOR      = {P. E. Gill and S. J. Hammarling and W. Murray
                  and M. A. Saunders and M. W. Wright},
TITLE       = {User's guide for {LSSOL (Version 1.0)}: a {Fortran}
               package for  constrained linear least-squares and
               convex quadratic programming},
INSTITUTION = {Department of Operations Research, Stanford University},
ADDRESS     = {CA},
TYPE        = {Report},
number      = {SOL 86-1},
YEAR        =  1986
}

@incollection{GilM74a,
 author    = "P. E. Gill and W. Murray",
 title     = "Newton-type methods for linearly constrained optimization",
 booktitle = "Numerical Methods for Constrained Optimization",
 publisher = "Academic Press, London",
 year      =  1974,
 editor    = "P. E. Gill and W. Murray",
 pages     = "29--66"
}

@incollection{GilM74b,
 author    = "P. E. Gill and W. Murray",
 title     = "{Quasi-Newton} methods for linearly constrained optimization",
 booktitle = "Numerical Methods for Constrained Optimization",
 publisher = "Academic Press, London",
 year      =  1974,
 editor    = "P. E. Gill and W. Murray",
 pages     = "67--92"
}

@article{GilMSW84b,
   AUTHOR  = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
     TITLE = {Sparse matrix methods in optimization},
   JOURNAL = SISSC,
    VOLUME = {5},
     PAGES = {562--589},
      YEAR = {1984}
}

@article{GilMSW87c,
   AUTHOR  = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
   JOURNAL = LAA,
     PAGES = {239--270},
   TITLE   = {Maintaining {LU} factors of a general sparse matrix},
   VOLUME  = {88/89},
   YEAR    = {1987}
}

@Article{GilMSW89c,
     AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders and
               M. H. Wright},
      TITLE = {A practical anti-cycling procedure for linear and
               nonlinear programming},
    JOURNAL = MP,
       YEAR = {1989},
     VOLUME = {45},
      PAGES = {437--474}
}

@techreport{GilMS97a,
     AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders},
      TITLE = {User's Guide for {SQOPT 5.3}: a {Fortran} Package
               for Large-Scale Linear and Quadratic Programming},
INSTITUTION = {Department of Mathematics, University of California, San Diego},
    ADDRESS = {CA},
       TYPE = {Numerical Analysis Report},
     NUMBER = {97-4},
       YEAR = 1997
}

@techreport{GilMS97b,
     AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders},
      TITLE = {User's Guide for {SNOPT 5.3}: a {Fortran} Package
               for Large-Scale Nonlinear Programming},
INSTITUTION = {Department of Mathematics, University of California, San Diego},
    ADDRESS = {CA},
       TYPE = {Numerical Analysis Report},
     NUMBER = {97-5},
       YEAR = 1997
}

@article {GilMS02,
   AUTHOR = {P. E. Gill and W. Murray and M. A. Saunders},
    TITLE = {{SNOPT}: An {SQP} algorithm for large-scale constrained optimization},
  JOURNAL =  SIOPT,
   VOLUME =  12,
   NUMBER =   4,
    PAGES = {979--1006},
     YEAR =  2002
}

@techreport{GilMSW86a,
 AUTHOR      = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
 INSTITUTION =  {Department of Operations Research, Stanford University, CA},
 TITLE       = {User's guide for {NPSOL (Version 4.0)}: a {Fortran}
                package for  nonlinear programming},
 TYPE        = {Report},
 number      = {SOL 86-2},
 YEAR        =  1986
}

@incollection{GilMSW92,
 AUTHOR    = {P. E. Gill and W. Murray and M. A. Saunders and M. H. Wright},
   ADDRESS = {North Holland},
 BOOKTITLE = {Advances in Optimization and Parallel Computing},
    EDITOR = {P. M. Pardalos},
     PAGES = {101--128},
 PUBLISHER = {North Holland},
     TITLE = {Some theoretical properties of an augmented {Lagrangian}
              merit function},
      ISBN = {0-444-89071-8},
      YEAR = 1992
}

@Article{GilSS96,
     AUTHOR = {P. E. Gill and M. A. Saunders and J. R. Shinnerl},
      TITLE = {On the stability of the {Cholesky} factorization for
               symmetric quasi-definite systems},
    JOURNAL = SIMAX,
       YEAR = {1996},
     VOLUME = {17},
  OPTnumber = {1},
      PAGES = {35--46},
   OPTMONTH = {January}
}

@article{GR77,
   AUTHOR = {D. Goldfarb and J. K. Reid},
    TITLE = {A practicable steepest-edge simplex algorithm},
  JOURNAL = MP,
   VOLUME = 12,
    PAGES = {361--371},
     YEAR = "1977 (where the title should have read {\it practical!\/})"
}

@article{GV79,
   AUTHOR  = {G. H. Golub and C. F. {Van Loan}},
   TITLE   = {Unsymmetric positive definite linear systems},
   JOURNAL =  LAA,
   VOLUME  = {28},
   PAGES   = {85--98},
   YEAR    = 1979
}

@article{GouR1989,
   AUTHOR = {N. I. M. Gould and J. K. Reid},
    TITLE = {New crash procedures for large-scale systems
             of linear constraints},
  JOURNAL = MP,
   VOLUME = 45,
    PAGES = {475--501},
     YEAR = 1989
}

@Misc{WSMP,
     author = {A. Gupta},
      title = {{WSMP: Watson Sparse Matrix Package}},
howpublished= {\url{http://www-users.cs.umn.edu/~agupta/wsmp.html}}
}

@techreport{HM96,
   AUTHOR      = {J. A. J. Hall and K. I. M. McKinnon},
   INSTITUTION = {Department of Mathematics and Statistics, University of
                  Edinburgh},
   number      = {MS 96-010},
   TITLE       = {The simplest examples where the simplex method cycles and
                  conditions where {EXPAND} fails to prevent cycling},
   YEAR = 1996
}

@article{SuperLU,
 author  = "J. W. Demmel and S. C. Eisenstat and J. R. Gilbert
            and X. S. Li and J. W. H. Liu",
 title   = {A supernodal approach to sparse partial pivoting},
 journal = SIMAX,
 volume  = "20(3)",
 pages   = {720--755},
 year    = 1999
}

@Article{Li:2003:SSD,
  author =       "X. S. Li and J. W. Demmel",
  title =        "{SuperLU-DIST}: A scalable distributed-memory
                 sparse direct solver for unsymmetric linear systems",
  journal =      TOMS,
  volume =       "29",
  number =       "2",
  pages =        "110--140",
  year =         "2003",
  URL =          "http://doi.acm.org/10.1145/779359.779361"
}

@article{LiuN89,
   AUTHOR  = {D. C. Liu and J. Nocedal},
   TITLE   = {On the limited memory {BFGS} method for large
              scale optimization},
   JOURNAL =  MP,
   VOLUME  =  45,
     PAGES = {503--528},
   YEAR    =  1989
}


@Misc{netlibblas,
      key   = {BLAS},
      title = {{B}asic {L}inear {A}lgebra {S}ubprograms},
howpublished= {\url{http://www.netlib.org/blas/}}
}

@Misc{netlibblas-f90,
      Author  = {Burkardt, John},
      title = {{fortran90} software},
howpublished= {\url{http://people.sc.fsu.edu/~jburkardt/}},
       year = 2012,
}

@Misc{mmdata,
      Author  = {Burkardt, John},
      title = {{The Matrix Market File Format}},
howpublished= {\url{http://people.sc.fsu.edu/~jburkardt/data/mm/mm.html}},
}

@Misc{mmio,
      Author  = {Burkardt, John},
      title = {{Matrix Market Read and Write Utilities}},
howpublished= {\url{http://people.sc.fsu.edu/~jburkardt/f_src/mm_io/mm_io.html}},
}

@Misc{lpsolve,
      title = {{lp\_solve open source LP and MILP solver}},
howpublished= {\url{http://groups.yahoo.com/group/lp\_solve/}}
}

@article{MarM1998,
   AUTHOR = {I. Maros and G. Mitra},
    TITLE = {Strategies for creating advanced bases for large-scale
             linear programming problems},
  JOURNAL = INFJOC,
   VOLUME = 10,
    PAGES = {248--260},
     YEAR = 1998
}

@Misc{MATLAB,
      title = {{MATLAB} matrix laboratory},
howpublished= {\url{http://www.mathworks.com}}
}

@article{McC70,
 author    = "G. P. McCormick",
 title     = "The variable-reduction method for nonlinear programming",
 journal   =  MS,
 volume    = "17(3)",
 pages     = "146--160",
 year      =  1970
}

@incollection{MurN02,
 author    = "W. Murray and K.-M. Ng",
 title     = "Algorithms for global and discrete problems
              based on methods for local optimization",
 booktitle = "Handbook of Global Optimization, Volume~2",
 publisher = "Kluwer, Dordrecht",
 editor    = "P. M. Pardalos and H. E. Romeijn",
 pages     = "87--113",
 year      =  2002
}

@article{MurS78,
 author   = "B. A. Murtagh and M. A. Saunders",
 title    = "Large-scale linearly constrained optimization",
 journal  =  MP,
 volume   =  14,
 pages    = "41--72",
 year     =  1978
}

@article{MurS82,
 author   = "B. A. Murtagh and M. A. Saunders",
 title    = "A projected {Lagrangian} algorithm and its implementation
             for sparse nonlinear constraints",
 journal  =  MPStudy,
 volume   =  16,
 pages    = "84--117",
 year     =  1982
}

@misc{MurS02,
 author    = "W. Murray and V. Shanbhag {(SOL, Stanford University)}",
 title     = "A new algorithm for the optimal siting of electrical substations",
 howpublished = "Presented at INFORMS Annual Meeting, San Jose, CA",
 year      =  2002
}

@Misc{NEOS,
      title = {{NEOS server for optimization}},
howpublished= {\url{http://www-neos.mcs.anl.gov}}
}

@phdthesis{Ng02,
 author    = "K.-M. Ng",
 title     = "A Homotopy Algorithm for Nonlinear Discrete Problems",
 school    = "Dept of Management Science and Engineering,
              Stanford University, CA",
 year      =  2002
}

@article{Noc80,
 author   = "J. Nocedal",
 title    = "Updating {quasi-Newton} matrices with limited storage",
 journal  =  MC,
 volume   =  35,
 pages    = "773--782",
 year     =  1980
}

@article{OTL08,
   AUTHOR  = {O'Boyle, Noel M. and Tenderholt, Adam L. and Langner, Karol M.},
   JOURNAL = {J. Comput. Chem.},
   TITLE   = {cclib: {A} library for package-independent computational chemistry algorithms},
   PAGES   = {839--845},
   VOLUME  = {29},
   number  = {5},
   YEAR    = {2008}
}

@article {PS75,
    AUTHOR = {Paige, Christopher C. and Saunders, Michael A.},
     TITLE = {Solution of sparse indefinite systems of linear equations},
   JOURNAL = {SIAM J. Numer. Anal.},
  FJOURNAL = {SIAM Journal on Numerical Analysis},
    VOLUME = {12},
      YEAR = {1975},
    NUMBER = {4},
     PAGES = {617--629},
      ISSN = {1095-7170},
   MRCLASS = {65F10},
  MRNUMBER = {MR0383715 (52 \#4595)},
MRREVIEWER = {R. P. Tewarson},
}

@article {PS82a,
    AUTHOR = {Paige, Christopher C. and Saunders, Michael A.},
     TITLE = {{LSQR}: an algorithm for sparse linear equations and sparse
              least squares},
   JOURNAL = {ACM Trans. Math. Software},
  FJOURNAL = {Association for Computing Machinery. Transactions on
              Mathematical Software},
    VOLUME = {8},
      YEAR = {1982},
    NUMBER = {1},
     PAGES = {43--71},
      ISSN = {0098-3500},
     CODEN = {ACMSCU},
   MRCLASS = {65F10 (65F20)},
  MRNUMBER = {MR661121 (83f:65048)},
}

@article{PS82b,
   AUTHOR  = {Paige, Christopher C. and Saunders, Michael A.},
   JOURNAL = TOMS,
   TITLE   = {\rlap{\phantom{z}}{Algorithm 583};
              {LSQR}: Sparse linear equations
              and least-squares problems},
   PAGES   = {195--209},
   VOLUME  = 8,
   number  = 2,
   YEAR    = 1982
}

@article{CPS11,
    AUTHOR = {Choi, Sou-Cheng T. and Paige, Christopher C. and Saunders, Michael A.},
     TITLE = {{MINRES-QLP}: {A} {K}rylov subspace method for indefinite or singular symmetric systems},
   JOURNAL = SISC,
    PAGES  = {1810--1836},
    VOLUME = 33,
    number = 4,
      year =  2011,
      howpublished= {\url{http://arxiv.org/abs/1003.4042}},
}

@techreport{CS12,
AUTHOR      = {Choi, Sou-Cheng T. and Saunders, Michael A.},
TITLE       = {{ALGORITHM \& DOCUMENTATION: MINRES-QLP} for singular symmetric and
               {Hermitian} linear equations and least-squares problems},
INSTITUTION = {Computation Institute, University of Chicago},
ADDRESS     = {IL},
TYPE        = {Technical Report},
number      = {ANL/MCS-P3027-0812},
YEAR        = 2012
}


@article{FS11,
   AUTHOR = {Fong, David C.-L. and Saunders, Michael A.},
   TITLE  = {{LSMR: An iterative algorithm for sparse least-squares problems}},
  journal = SISC,
   volume = {33},
   pages  = {2950-2971},
      doi = {10.1137/10079687X},
     year =  2011,
}

@phdthesis{Fong2011,
	Address = {CA},
	Author = {D. C.-L. Fong},
	Date-Added = {2011-12-09 20:00:00 -0700},
	Date-Modified = {2012-08-04},
	Keywords = {iterative method, least squares},
	Month = {December},
	School = {ICME, Stanford University},
	Title = {{Minimum-Residual Methods for Sparse Least-Squares
                 Using Golub-Kahan Bidiagonalization}},
	Year = {2011}}

@article{FS12,
   AUTHOR = {Fong, David C.-L. and Saunders, Michael A.},
   TITLE  = {{CG versus MINRES: An empirical comparison}},
  journal = {SQU Journal for Science},
   volume = 17,
   number = 1,
     year = 2012,
    pages = {44--62}
}

@book{PRT02,
 author    = "J. Peng and C. Roos and T. Terlaky",
 title     = "Self-Regularity:
              A New Paradigm for Primal-Dual Interior Point Algorithms",
 publisher = "Princeton University Press, Princeton, NJ",
 year      =  2002,
}

@book{CS06,
 author    = "I. Chivers and J. Sleightholme",
 title     = "Introduction to Programming with Fortran:
              With Coverage of Fortran 90, 95, 2003, and 77",
 publisher = "Springer-Verlag, London, UK",
 year      =  2006,
}



@Article{Rei82,
  AUTHOR  = {J. K. Reid},
  TITLE   = {A sparsity-exploiting variant of the {Bartels-Golub}
             decomposition for linear programming bases},
  JOURNAL = MP,
  volume  = 24,
    PAGES = {55--69},
  YEAR    = 1982
}

@Article{Rob72,
 author  = {S. M. Robinson},
 title   = {A quadratically-convergent algorithm for general nonlinear
            programming problems},
 journal = MP,
 volume  = 3,
 pages   = {145--156},
 year    = 1972
}

@article{Ros60,
 author    = "J. B. Rosen",
 title     = "The gradient projection method for nonlinear programming.
              {Part I}: linear constraints",
 journal   = "SIAM J. Appl. Math.",
 volume    =  8,
 pages     = "181--217",
 year      =  1960
}

@incollection{RosK72,
    author = {J. B. Rosen and J. Kreuser},
     title = {A gradient projection algorithm for nonlinear constraints},
     pages = {297--300},
 booktitle = {Numerical Methods for Nonlinear Optimization},
    editor = {F. A. Lootsma},
 publisher = {Academic Press},
   address = {London and New York},
      year = 1972
}

@inproceedings {T03,
    AUTHOR = {Tomlin, John A.},
     TITLE = {A New Paradigm for Ranking Pages on the World Wide Web},
 BOOKTITLE = {Proceedings of the World Wide Web conference 2003 (WWW2003)},
      YEAR = {May 2003},
     PAGES = {350-355}
}

@incollection{Sau96,
      AUTHOR = {Saunders, Michael A.},
     ADDRESS = {Philadelphia},
   BOOKTITLE = {Linear and Nonlinear Conjugate Gradient-Related Methods},
      EDITOR = {L. Adams and J. L. Nazareth},
       PAGES = {92--100},
   PUBLISHER = {SIAM Publications},
        NOTE = {Proceedings of AMS-IMS-SIAM Joint Summer Research Conference,
                University of Washington, Seattle, WA (July 9--13, 1995)},
       TITLE = {Cholesky-based methods for sparse least squares:
               The benefits of regularization},
        YEAR = {1996}
}


@Misc{MM,
      key   = {Matrix Market},
      title = {{Text File Formats}},
howpublished= {\url{http://math.nist.gov/MatrixMarket/formats.html}},
      YEAR  = {}
}
 

@Misc{SOL,
      key   = {SOL},
      title = {{S}ystems {O}ptimization {L}aboratory, {S}tanford {U}niversity},
howpublished= {\url{www.stanford.edu/group/SOL}},
      YEAR  = {}
}
 
 @Misc{MINRESQLP-WEB,
      key   = {MINRESQLP-WEB},
      title = {MINRES-QLP Project Website},
howpublished= {\url{code.google.com/p/minres-qlp/}},
      YEAR  = {}
}
 

@Misc{OSI-CPL,
      key   = {OSI-CPL},
      title = {{O}pen {S}ource {I}nitiative {(OSI)} - {C}ommon {P}ublic {L}icense {(CPL)}},
howpublished= {\url{http://www.opensource.org/licenses/cpl1.0.php}},
}

@Misc{BSD,
      key   = {BSD},
      title = {{T}he {BSD} {L}icense},
howpublished= {\url{http://www.opensource.org/licenses/bsd-license.php}},
}

@Misc{PS03,
      title = {{MINRES} downloadable software},
howpublished= {\url{http://www.stanford.edu/group/SOL/software/minres.html}}
}

@Misc{CS06,
AUTHOR      = {Choi, Sou-Cheng and Saunders, Michael A.},
      title = {{MINRES-QLP} downloadable software},
howpublished= {\url{http://www.stanford.edu/group/SOL/software/minresQLP.html}}
}

@Misc{PDCO,
     author = {M. A. Saunders},
      title = {{PDCO: MATLAB software for convex optimization}},
howpublished= {\url{http://www.stanford.edu/group/SOL/software.html}}
}

@incollection{Toi80,
 author    = "Ph. L. Toint",
 title     = "Sparsity exploiting {quasi-Newton} methods
              for unconstrained optimization",
 booktitle = "Nonlinear Optimization: Theory and Algorithms",
 publisher = "Birkh{\"a}user, Boston",
 year      =  1980,
 editor    = "L. C. W. Dixon and E. Spedicato and G. P. Szego",
 pages     = "65--90"
}

@Misc{TOMLAB,
      title = {{TOMLAB} optimization environment for {MATLAB}},
howpublished= {\url{http://tomlab.biz}}
}

@article{Van95,
     AUTHOR = {R. J. Vanderbei},
    JOURNAL = SIOPT,
      TITLE = {Symmetric quasi-definite matrices},
     VOLUME = {5},
      PAGES = {100--113},
       YEAR = 1995
}

@Misc{LOQO,
     author = {R. J. Vanderbei},
      title = {{LOQO} optimization software package},
howpublished= {\url{http://orfe.princeton.edu/~loqo/}}
}

@book{Van01,
 author    = {R. J. Vanderbei},
 title     = "Linear Programming: Foundations and Extensions",
 edition   = {2nd},
 publisher = "Kluwer",
 address   = "Boston, London and Dordrecht",
 year      =  2001
}

@unpublished{Wol62,
 author    = "P. Wolfe",
 title     = "The reduced gradient method",
 note      = "Unpublished manuscript, RAND Corporation",
 year      =  1962
}

@incollection{Wol67,
 author    = "P. Wolfe",
 title     = "Methods of nonlinear programming",
 booktitle = "Nonlinear Programming",
 publisher = "North-Holland, Amsterdam",
 year      =  1967,
 editor    = "J. Abadie",
 pages     = "97--131"
}

@article{Wri95,
 author  = "S. J. Wright",
 title   = {Stability of linear equations solvers in interior-point methods},
 journal = SIMAX,
 volume  = 16,
 pages   = {1287--1307},
 year    = 1995
}

@book {H98,
    AUTHOR = {Hansen, Per Christian},
     TITLE = {{Rank-deficient and Discrete Ill-posed Problems}},
    SERIES = {SIAM Monographs on Mathematical Modeling and Computation},
 PUBLISHER = {SIAM},
   ADDRESS = {Philadelphia, PA},
      YEAR = {1998},
     PAGES = {xvi+247},
      ISBN = {0-89871-403-6},
   MRCLASS = {65F05 (65F10 65F20)},
  MRNUMBER = {1486577 (99a:65037)},
MRREVIEWER = {Jin Xi Zhao},
}


@book{Wri97,
 author    = "S. J. Wright",
 title     = "Primal-Dual Interior-Point Methods",
 publisher = "SIAM, Philadelphia, PA",
 year      =  1997,
}

@article{Wri97b,
 author  = "S. J. Wright",
 title   = {Stability of augmented system factorizations in interior-point methods},
 journal = SIMAX,
 volume  = 18,
 pages   = {191--222},
 year    = 1997
}
 

@article {DH11,
    AUTHOR = {Davis, Timothy A. and Hu, Yifan},
     TITLE = {The {University} of {Florida} sparse matrix collection},
   JOURNAL = {ACM Trans. Math. Software},
  FJOURNAL = {Association for Computing Machinery. Transactions on Mathematical Software},
    VOLUME = {38},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {1:1--1:25},
}

 
 
 
@misc{FSJSU,
    AUTHOR = {Foster, Leslie},
     TITLE = {{S}an {J}ose {S}tate {U}niversity {S}ingular {M}atrix {D}atabase},
  HOWPUBLISHED = {\url{http://www.math.sjsu.edu/singular/matrices/}},
      YEAR = {2009},
      NOTES = {Datasets},
}

@misc{FSJSU2,
    AUTHOR = {Foster, Leslie},
     TITLE = {{SJ}singular---{MATLAB} toolbox for managing the {SJSU} Singular Matrix Collection},
  HOWPUBLISHED = {\url{http://www.math.sjsu.edu/singular/matrices/SJsingular.html}},
      YEAR = {2008},
     NOTES = {Software},
}
