# Netlib Index for LINPACK # # NOTE: # 1. Entries are arranged in alphabetical order by the real routine name. # (If you are looking for a specific complex Hermitian routine, you # will find it listed with its real symmetric equivalent.) # 2. Specifications for pairs of real and complex routines have been # merged. In a few cases, specifications of three routines have been # merged, one for real symmetric, one for complex symmetric, and one # for complex Hermitian matrices. # 3. Specifications are given only for single precision routines. To # adapt them for the double precision version of the software, simply # interpret REAL as DOUBLE PRECISION and COMPLEX and COMPLEX*16 (or # DOUBLE COMPLEX). file linpack/readme for README file for LINPACK lib linpack/chk for test drivers for LINPACK file linpack/schdc.f gams D2b1b for computes the Cholesky decomposition of a positive definite matrix, , a pivoting option allows the user to estimate the condition of a , positive definite matrix or determine the rank of a positive , semidefinite matrix prec single file linpack/dchdc.f gams D2b1b for computes the Cholesky decomposition of a positive definite matrix, , a pivoting option allows the user to estimate the condition of a , positive definite matrix or determine the rank of a positive , semidefinite matrix prec double file linpack/cchdc.f gams D2d1b for computes the Cholesky decomposition of a positive definite matrix, , a pivoting option allows the user to estimate the condition of a , positive definite matrix or determine the rank of a positive , semidefinite matrix prec complex file linpack/zchdc.f gams D2d1b for computes the Cholesky decomposition of a positive definite matrix, , a pivoting option allows the user to estimate the condition of a , positive definite matrix or determine the rank of a positive , semidefinite matrix prec doublecomplex file linpack/schdd.f gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec single file linpack/dchdd.f gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec double file linpack/cchdd.f gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec complex file linpack/zchdd.f gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec doublecomplex file linpack/schex.f gams D7b for updates the Cholesky factorization prec single file linpack/dchex.f gams D7b for updates the Cholesky factorization prec double file linpack/cchex.f gams D7b for updates the Cholesky factorization prec complex file linpack/zchex.f gams D7b for updates the Cholesky factorization prec doublecomplex file linpack/schud.f gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec single file linpack/dchud.f gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec double file linpack/cchud.f gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec complex file linpack/zchud.f gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec doublecomplex file linpack/sgbco.f gams D2a2 for factors a real band matrix by Gaussian elimination and , estimates the condition number of the matrix prec single file linpack/dgbco.f gams D2a2 for factors a real band matrix by Gaussian elimination and , estimates the condition number of the matrix prec double file linpack/cgbco.f gams D2c2 for factors a complex band matrix by Gaussian elimination and , estimates the condition number of the matrix prec complex file linpack/zgbco.f gams D2c2 for factors a complex band matrix by Gaussian elimination and , estimates the condition number of the matrix prec doublecomplex file linpack/sgbdi.f gams D3a2 for computes the determinant of a band matrix using the factors , computed by (linpack/sgbco) or (linpack/sgbfa), if the inverse , is needed use (linpack/sgbsl) n times prec single file linpack/dgbdi.f gams D3a2 for computes the determinant of a band matrix using the factors , computed by (linpack/dgbco) or (linpack/dgbfa), if the inverse , is needed use (linpack/dgbsl) n times prec double file linpack/cgbdi.f gams D3c2 for computes the determinant of a band matrix using the factors , computed by (linpack/cgbco) or (linpack/cgbfa), if the inverse , is needed use (linpack/cgbsl) n times prec complex file linpack/zgbdi.f gams D3c2 for computes the determinant of a band matrix using the factors , computed by (linpack/zgbco) or (linpack/zgbfa), if the inverse , is needed use (linpack/zgbsl) n times prec doublecomplex file linpack/sgbfa.f gams D2a2 for factors a band matrix by elimination prec single file linpack/dgbfa.f gams D2a2 for factors a band matrix by elimination prec double file linpack/cgbfa.f gams D2c2 for factors a band matrix by elimination prec complex file linpack/zgbfa.f gams D2c2 for factors a band matrix by elimination prec doublecomplex file linpack/sgbsl.f gams D2a2 for solves the real band system Ax = b or trans(A)x = b using , the factors computed by (linpack/sgbco) or (linpack/sgbfa) prec single file linpack/dgbsl.f gams D2a2 for solves the real band system Ax = b or trans(A)x = b using , the factors computed by (linpack/dgbco) or (linpack/dgbfa) prec double file linpack/cgbsl.f gams D2c2 for solves the complex band system Ax = b or trans(A)x = b using , the factors computed by (linpack/cgbco) or (linpack/cgbfa) prec complex file linpack/zgbsl.f gams D2c2 for solves the complex band system Ax = b or trans(A)x = b using , the factors computed by (linpack/zgbco) or (linpack/zgbfa) prec doublecomplex file linpack/sgeco.f gams D2a1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec single file linpack/dgeco.f gams D2a1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec double file linpack/cgeco.f gams D2c1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec complex file linpack/zgeco.f gams D2c1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec doublecomplex file linpack/sgedi.f gams D3a1, D2a1 for computes the determinant and inverse of a matrix using the , factors computed by (linpack/sgeco) or (linpack/sgefa) prec single file linpack/dgedi.f gams D3a1, D2a1 for computes the determinant and inverse of a matrix using the , factors computed by (linpack/dgeco) or (linpack/dgefa) prec double file linpack/cgedi.f gams D2c1, D3c1 for computes the determinant and inverse of a matrix using the , factors computed by (linpack/cgeco) or (linpack/cgefa) prec complex file linpack/zgedi.f gams D2c1, D3c1 for computes the determinant and inverse of a matrix using the , factors computed by (linpack/zgeco) or (linpack/zgefa) prec doublecomplex file linpack/sgefa.f gams D2a1 for factors a real matrix by Gaussian elimination prec single file linpack/dgefa.f gams D2a1 for factors a real matrix by Gaussian elimination prec double file linpack/cgefa.f gams D2c1 for factors a complex matrix by Gaussian elimination prec complex file linpack/zgefa.f gams D2c1 for factors a complex matrix by Gaussian elimination prec doublecomplex file linpack/sgesl.f gams D2a1 for solves the real system Ax = b or trans(A)x = b using , the factors computed by (linpack/sgeco) or (linpack/sgefa) prec single file linpack/dgesl.f gams D2a1 for solves the real system Ax = b or trans(A)x = b using , the factors computed by (linpack/dgeco) or (linpack/dgefa) prec double file linpack/cgesl.f gams D2c1 for solves the complex system Ax = b or trans(A)x = b using , the factors computed by (linpack/cgeco) or (linpack/cgefa) prec complex file linpack/zgesl.f gams D2c1 for solves the complex system Ax = b or trans(A)x = b using , the factors computed by (linpack/zgeco) or (linpack/zgefa) prec doublecomplex file linpack/sgtsl.f gams D2a2a for given a general tridiagonal matrix and a right hand side will , find the solution prec single file linpack/dgtsl.f gams D2a2a for given a general tridiagonal matrix and a right hand side will , find the solution prec double file linpack/cgtsl.f gams D2c2a for given a general tridiagonal matrix and a right hand side will , find the solution prec complex file linpack/zgtsl.f gams D2c2a for given a general tridiagonal matrix and a right hand side will , find the solution prec doublecomplex file linpack/spbco.f gams D2b2 for factors a real symmetric positive definite matrix stored , in band form and estimates the condition of the matrix prec single file linpack/dpbco.f gams D2b2 for factors a real symmetric positive definite matrix stored , in band form and estimates the condition of the matrix prec double file linpack/cpbco.f gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form and estimates the condition of the matrix prec complex file linpack/zpbco.f gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form and estimates the condition of the matrix prec doublecomplex file linpack/spbdi.f gams D3b2 for computes the determinant of a real symmetric positive , definite band matrix using the factors computed by (linpack/spbco) , or (linpack/spbfa), if the inverse is needed use (linpack/spbsl) , n times prec single file linpack/dpbdi.f gams D3b2 for computes the determinant of a real symmetric positive , definite band matrix using the factors computed by (linpack/dpbco) , or (linpack/dpbfa), if the inverse is needed use (linpack/dpbsl) , n times prec double file linpack/cpbdi.f gams D3d2 for computes the determinant of a complex hermitian positive , definite band matrix using the factors computed by (linpack/cpbco) , or (linpack/cpbfa), if the inverse is needed use (linpack/cpbsl) , n times prec complex file linpack/zpbdi.f gams D3d2 for computes the determinant of a complex hermitian positive , definite band matrix using the factors computed by (linpack/zpbco) , or (linpack/zpbfa), if the inverse is needed use (linpack/zpbsl) , n times prec doublecomplex file linpack/spbfa.f gams D2b2 for factors a real symmetric positive definite matrix stored , in band form prec single file linpack/dpbfa.f gams D2b2 for factors a real symmetric positive definite matrix stored , in band form prec double file linpack/cpbfa.f gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form prec complex file linpack/zpbfa.f gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form prec doublecomplex file linpack/spbsl.f gams D2b2 for solves the real symmetric positive definite band system , Ax = b using the factors computed by (linpack/spbco) or (linpack/spbfa) prec single file linpack/dpbsl.f gams D2b2 for solves the real symmetric positive definite band system , Ax = b using the factors computed by (linpack/dpbco) or (linpack/dpbfa) prec double file linpack/cpbsl.f gams D2d2 for solves the complex hermitian positive definite band system , Ax = b using the factors computed by (linpack/cpbco) or (linpack/cpbfa) prec complex file linpack/zpbsl.f gams D2d2 for solves the complex hermitian positive definite band system , Ax = b using the factors computed by (linpack/zpbco) or (linpack/zpbfa) prec doublecomplex file linpack/spoco.f gams D2b1b for factors a real symmetric positive definite matrix and , estimates the condition number of the matrix prec single file linpack/dpoco.f gams D2b1b for factors a real symmetric positive definite matrix and , estimates the condition number of the matrix prec double file linpack/cpoco.f gams D2d1b for factors a complex hermitian positive definite matrix and , estimates the condition number of the matrix prec complex file linpack/zpoco.f gams D2d1b for factors a complex hermitian positive definite matrix and , estimates the condition number of the matrix prec doublecomplex file linpack/spodi.f gams D2b1b,D3b1b for computes the determinant and inverse of a certain real , symmetric positive definite matrix using the factors computed by , (linpack/spoco), (linpack/spofa) or (linpack/sqrdc) prec single file linpack/dpodi.f gams D2b1b,D3b1b for computes the determinant and inverse of a certain real , symmetric positive definite matrix using the factors computed by , (linpack/dpoco), (linpack/dpofa) or (linpack/dqrdc) prec double file linpack/cpodi.f gams D2d1b, D3d1b for computes the determinant and inverse of a certain complex , hermitian positive definite matrix using the factors computed by , (linpack/cpoco), (linpack/cpofa) or (linpack/cqrdc) prec complex file linpack/zpodi.f gams D2d1b, D3d1b for computes the determinant and inverse of a certain complex , hermitian positive definite matrix using the factors computed by , (linpack/zpoco), (linpack/zpofa) or (linpack/zqrdc) prec doublecomplex file linpack/spofa.f gams D2b1b for factors a real symmetric positive definite matrix prec single file linpack/dpofa.f gams D2b1b for factors a real symmetric positive definite matrix prec double file linpack/cpofa.f gams D2d1b for factors a complex hermitian positive definite matrix prec complex file linpack/zpofa.f gams D2d1b for factors a complex hermitian positive definite matrix prec doublecomplex file linpack/sposl.f gams D2b1b for solves the real symmetric positive definite system , Ax = b using the factors computed by (linpack/spoco) or , (linpack/spofa) prec single file linpack/dposl.f gams D2b1b for solves the real symmetric positive definite system , Ax = b using the factors computed by (linpack/dpoco) or , (linpack/dpofa) prec double file linpack/cposl.f gams D2d1b for solves the complex hermitian positive definite system , Ax = b using the factors computed by (linpack/cpoco) or , (linpack/cpofa) prec complex file linpack/zposl.f gams D2d1b for solves the complex hermitian positive definite system , Ax = b using the factors computed by (linpack/zpoco) or , (linpack/zpofa) prec doublecomplex file linpack/sppco.f gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form and estimates the condition number of the matrix prec single file linpack/dppco.f gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form and estimates the condition number of the matrix prec double file linpack/cppco.f gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form and estimates the condition number of the matrix prec complex file linpack/zppco.f gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form and estimates the condition number of the matrix prec doublecomplex file linpack/sppdi.f gams D2b1b,D3b1b for computes the determinant and inverse of a real symmetric , positive definite matrix using the factors computed by , (linpack/sppco) or (linpack/sppfa) prec single file linpack/dppdi.f gams D2b1b,D3b1b for computes the determinant and inverse of a real symmetric , positive definite matrix using the factors computed by , (linpack/dppco) or (linpack/dppfa) prec double file linpack/cppdi.f gams D2d1b, D3d1b for computes the determinant and inverse of a complex hermitian , positive definite matrix using the factors computed by , (linpack/cppco) or (linpack/cppfa) prec complex file linpack/zppdi.f gams D2d1b, D3d1b for computes the determinant and inverse of a complex hermitian , positive definite matrix using the factors computed by , (linpack/zppco) or (linpack/zppfa) prec doublecomplex file linpack/sppfa.f gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form prec single file linpack/dppfa.f gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form prec double file linpack/cppfa.f gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form prec complex file linpack/zppfa.f gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form prec doublecomplex file linpack/sppsl.f gams D2b1b for solves the real symmetric positive definite system , Ax = b using the factors computed by (linpack/sppco) or , (linpack/sppfa) prec single file linpack/dppsl.f gams D2b1b for solves the real symmetric positive definite system , Ax = b using the factors computed by (linpack/dppco) or , (linpack/dppfa) prec double file linpack/cppsl.f gams D2d1b for solves the complex hermitian positive definite system , Ax = b using the factors computed by (linpack/cppco) or , (linpack/cppfa) prec complex file linpack/zppsl.f gams D2d1b for solves the complex hermitian positive definite system , Ax = b using the factors computed by (linpack/zppco) or , (linpack/zppfa) prec doublecomplex file linpack/sptsl.f gams D2b2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec single file linpack/dptsl.f gams D2b2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec double file linpack/cptsl.f gams D2d2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec complex file linpack/zptsl.f gams D2d2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec doublecomplex file linpack/sqrdc.f gams D5 for uses Householder transformations to compute the QR factorization, , column pivoting based on the 2-norms of the reduced columns may , be performed at the user's option prec single file linpack/dqrdc.f gams D5 for uses Householder transformations to compute the QR factorization, , column pivoting based on the 2-norms of the reduced columns may , be performed at the user's option prec double file linpack/cqrdc.f gams D5 for uses Householder transformations to compute the QR factorization, , column pivoting based on the 2-norms of the reduced columns may , be performed at the user's option prec complex file linpack/zqrdc.f gams D5 for uses Householder transformations to compute the QR factorization, , column pivoting based on the 2-norms of the reduced columns may , be performed at the user's option prec doublecomplex file linpack/sqrsl.f gams D2a1, D9a1 for applies the output of (linpack/sqrdc) to compute coordinate , transformations, projections, and least squares solutions prec single file linpack/dqrsl.f gams D2a1, D9a1 for applies the output of (linpack/dqrdc) to compute coordinate , transformations, projections, and least squares solutions prec double file linpack/cqrsl.f gams D9a1, D2c1 for applies the output of (linpack/cqrdc) to compute coordinate , transformations, projections, and least squares solutions prec complex file linpack/zqrsl.f gams D9a1, D2c1 for applies the output of (linpack/zqrdc) to compute coordinate , transformations, projections, and least squares solutions prec doublecomplex file linpack/ssico.f gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec single file linpack/dsico.f gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec double file linpack/csico.f gams D2c1 for factors a complex symmetric matrix by eliminatin with symmetric , pivoting and estimates the condition number of the matrix prec complex file linpack/zsico.f gams D2c1 for factors a complex symmetric matrix by eliminatin with symmetric , pivoting and estimates the condition number of the matrix prec doublecomplex file linpack/chico.f gams D2d1a for factors a complex Hermitian matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec complex file linpack/zhico.f gams D2d1a for factors a complex Hermitian matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec doublecomplex file linpack/ssidi.f gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a real symmetric , matrix using the factors from linpack/ssifa prec single file linpack/dsidi.f gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a real symmetric , matrix using the factors from linpack/dsifa prec double file linpack/csidi.f gams D2c1, D3c1 for computes the determinant, inertia and inverse of a complex symmetric , matrix using the factors from linpack/csifa prec complex file linpack/zsidi.f gams D2c1, D3c1 for computes the determinant, inertia and inverse of a complex symmetric , matrix using the factors from linpack/zsifa prec doublecomplex file linpack/chidi.f gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a complex , Hermitian matrix using the factors from linpack/chifa prec complex file linpack/zhidi.f gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a complex , Hermitian matrix using the factors from linpack/zhifa) prec doublecomplex file linpack/ssifa.f gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting prec single file linpack/dsifa.f gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting prec double file linpack/csifa.f gams D2c1 for factors a complex symmetric matrix , by elimination with symmetric pivoting prec complex file linpack/zsifa.f gams D2c1 for factors a complex symmetric matrix , by elimination with symmetric pivoting prec doublecomplex file linpack/chifa.f gams D2d1a for factors a complex Hermitian matrix , by elimination with symmetric pivoting prec complex file linpack/zhifa.f gams D2d1a for factors a complex Hermitian matrix , by elimination with symmetric pivoting prec doublecomplex file linpack/ssisl.f gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/ssifa prec single file linpack/dsisl.f gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/dsifa prec double file linpack/csisl.f gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/csifa prec complex file linpack/zsisl.f gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/zsifa prec doublecomplex file linpack/chisl.f gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/chifa prec complex file linpack/zhisl.f gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/zhifa prec doublecomplex file linpack/sspco.f gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec single file linpack/dspco.f gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec double file linpack/cspco.f gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec complex file linpack/zspco.f gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec doublecomplex file linpack/chpco.f gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec complex file linpack/zhpco.f gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting and , estimates the condition number of the matrix prec doublecomplex file linpack/sspdi.f gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a , real symmetric matrix using the factors from linpack/sspfa, , where the matrix is stored in packed form prec single file linpack/dspdi.f gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a , real symmetric matrix using the factors from linpack/dspfa, , where the matrix is stored in packed form prec double file linpack/cspdi.f gams D2c1, D3c1 for computes the determinant, inertia and inverse of a , complex symmetric matrix using the factors from linpack/cspfa, , where the matrix is stored in packed form prec complex file linpack/zspdi.f gams D2c1, D3c1 for computes the determinant, inertia and inverse of a , complex symmetric matrix using the factors from linpack/zspfa, , where the matrix is stored in packed form prec doublecomplex file linpack/chpdi.f gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a , complex Hermitian matrix using the factors from linpack/chpfa, , where the matrix is stored in packed form prec complex file linpack/zhpdi.f gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a , complex Hermitian matrix using the factors from linpack/zhpfa, , where the matrix is stored in packed form prec doublecomplex file linpack/sspfa.f gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting prec single file linpack/dspfa.f gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting prec double file linpack/cspfa.f gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting prec complex file linpack/zspfa.f gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting prec doublecomplex file linpack/chpfa.f gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting prec complex file linpack/zhpfa.f gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting prec doublecomplex file linpack/sspsl.f gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/sspfa prec single file linpack/dspsl.f gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/dspfa prec double file linpack/cspsl.f gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/cspfa prec complex file linpack/zspsl.f gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/zspfa prec doublecomplex file linpack/chpsl.f gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/chpfa prec complex file linpack/zhpsl.f gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/zhpfa prec doublecomplex file linpack/ssvdc.f gams D6 for reduces a real matrix to diagonal form by orthogonal/unitary , transformations prec single file linpack/dsvdc.f gams D6 for reduces a real matrix to diagonal form by orthogonal/unitary , transformations prec double file linpack/csvdc.f gams D6 for reduces a complex matrix to diagonal form by orthogonal/unitary , transformations prec complex file linpack/zsvdc.f gams D6 for reduces a complex matrix to diagonal form by orthogonal/unitary , transformations prec doublecomplex file linpack/strco.f gams D2a3 for estimates the condition number of a triangular matrix prec single file linpack/dtrco.f gams D2a3 for estimates the condition number of a triangular matrix prec double file linpack/ctrco.f gams D2c3 for estimates the condition number of a triangular matrix prec complex file linpack/ztrco.f gams D2c3 for estimates the condition number of a triangular matrix prec doublecomplex file linpack/strdi.f gams D2a3, D3a3 for computes the determinant and inverse of a triangular matrix prec single file linpack/dtrdi.f gams D2a3, D3a3 for computes the determinant and inverse of a triangular matrix prec double file linpack/ctrdi.f gams D2c3, D3c3 for computes the determinant and inverse of a triangular matrix prec complex file linpack/ztrdi.f gams D2c3, D3c3 for computes the determinant and inverse of a triangular matrix prec doublecomplex file linpack/strsl.f gams D2a3 for solves systems of the form Tx = b or trans(T)x = b where T is , a triangular matrix of order n, trans(T) denotes the transpose , of the matrix T prec single file linpack/dtrsl.f gams D2a3 for solves systems of the form Tx = b or trans(T)x = b where T is , a triangular matrix of order n, trans(T) denotes the transpose , of the matrix T prec double file linpack/ctrsl.f gams D2c3 for solves systems of the form Tx = b or trans(T)x = b where T is , a triangular matrix of order n, trans(T) denotes the transpose , of the matrix T prec complex file linpack/ztrsl.f gams D2c3 for solves systems of the form Tx = b or trans(T)x = b where T is , a triangular matrix of order n, trans(T) denotes the transpose , of the matrix T prec doublecomplex .