LINPACK is a collection of Fortran subroutines that analyze and solve linear equations and linear least-squares problems. The package solves linear systems whose matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition, the package computes the QR and singular value decompositions of rectangular matrices and applies them to least-squares problems. LINPACK uses column-oriented algorithms to increase efficiency by preserving locality of reference.

LINPACK was designed for supercomputers in use in the 1970s and early 1980s. LINPACK has been largely superceded by LAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.

# 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 readme for README file for LINPACK lib chk for test drivers for LINPACK file schdc.f schdc.f plus dependencies 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 dchdc.f dchdc.f plus dependencies 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 cchdc.f cchdc.f plus dependencies 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 zchdc.f zchdc.f plus dependencies 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 schdd.f schdd.f plus dependencies gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec single file dchdd.f dchdd.f plus dependencies gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec double file cchdd.f cchdd.f plus dependencies gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec complex file zchdd.f zchdd.f plus dependencies gams D7b for downdates an augmented Cholesky decomposition or the triangular , factor of an augmented QR decomposition prec doublecomplex file schex.f schex.f plus dependencies gams D7b for updates the Cholesky factorization prec single file dchex.f dchex.f plus dependencies gams D7b for updates the Cholesky factorization prec double file cchex.f cchex.f plus dependencies gams D7b for updates the Cholesky factorization prec complex file zchex.f zchex.f plus dependencies gams D7b for updates the Cholesky factorization prec doublecomplex file schud.f schud.f plus dependencies gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec single file dchud.f dchud.f plus dependencies gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec double file cchud.f cchud.f plus dependencies gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec complex file zchud.f zchud.f plus dependencies gams D7b for updates an augmented Cholesky decomposition or the triangular , part of an augmented QR decomposition prec doublecomplex file sgbco.f sgbco.f plus dependencies gams D2a2 for factors a real band matrix by Gaussian elimination and , estimates the condition number of the matrix prec single file dgbco.f dgbco.f plus dependencies gams D2a2 for factors a real band matrix by Gaussian elimination and , estimates the condition number of the matrix prec double file cgbco.f cgbco.f plus dependencies gams D2c2 for factors a complex band matrix by Gaussian elimination and , estimates the condition number of the matrix prec complex file zgbco.f zgbco.f plus dependencies gams D2c2 for factors a complex band matrix by Gaussian elimination and , estimates the condition number of the matrix prec doublecomplex file 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 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 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 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 sgbfa.f sgbfa.f plus dependencies gams D2a2 for factors a band matrix by elimination prec single file dgbfa.f dgbfa.f plus dependencies gams D2a2 for factors a band matrix by elimination prec double file cgbfa.f cgbfa.f plus dependencies gams D2c2 for factors a band matrix by elimination prec complex file zgbfa.f zgbfa.f plus dependencies gams D2c2 for factors a band matrix by elimination prec doublecomplex file sgbsl.f sgbsl.f plus dependencies 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 dgbsl.f dgbsl.f plus dependencies 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 cgbsl.f cgbsl.f plus dependencies 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 zgbsl.f zgbsl.f plus dependencies 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 sgeco.f sgeco.f plus dependencies gams D2a1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec single file dgeco.f dgeco.f plus dependencies gams D2a1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec double file cgeco.f cgeco.f plus dependencies gams D2c1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec complex file zgeco.f zgeco.f plus dependencies gams D2c1 for factors a matrix by Gaussian elimination and estimates the , condition number of the matrix prec doublecomplex file sgedi.f sgedi.f plus dependencies 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 dgedi.f dgedi.f plus dependencies 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 cgedi.f cgedi.f plus dependencies 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 zgedi.f zgedi.f plus dependencies 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 sgefa.f sgefa.f plus dependencies gams D2a1 for factors a real matrix by Gaussian elimination prec single file dgefa.f dgefa.f plus dependencies gams D2a1 for factors a real matrix by Gaussian elimination prec double file cgefa.f cgefa.f plus dependencies gams D2c1 for factors a complex matrix by Gaussian elimination prec complex file zgefa.f zgefa.f plus dependencies gams D2c1 for factors a complex matrix by Gaussian elimination prec doublecomplex file sgesl.f sgesl.f plus dependencies 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 dgesl.f dgesl.f plus dependencies 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 cgesl.f cgesl.f plus dependencies 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 zgesl.f zgesl.f plus dependencies 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 sgtsl.f gams D2a2a for given a general tridiagonal matrix and a right hand side will , find the solution prec single file dgtsl.f gams D2a2a for given a general tridiagonal matrix and a right hand side will , find the solution prec double file cgtsl.f gams D2c2a for given a general tridiagonal matrix and a right hand side will , find the solution prec complex file zgtsl.f gams D2c2a for given a general tridiagonal matrix and a right hand side will , find the solution prec doublecomplex file spbco.f spbco.f plus dependencies gams D2b2 for factors a real symmetric positive definite matrix stored , in band form and estimates the condition of the matrix prec single file dpbco.f dpbco.f plus dependencies gams D2b2 for factors a real symmetric positive definite matrix stored , in band form and estimates the condition of the matrix prec double file cpbco.f cpbco.f plus dependencies gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form and estimates the condition of the matrix prec complex file zpbco.f zpbco.f plus dependencies gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form and estimates the condition of the matrix prec doublecomplex file 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 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 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 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 spbfa.f spbfa.f plus dependencies gams D2b2 for factors a real symmetric positive definite matrix stored , in band form prec single file dpbfa.f dpbfa.f plus dependencies gams D2b2 for factors a real symmetric positive definite matrix stored , in band form prec double file cpbfa.f cpbfa.f plus dependencies gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form prec complex file zpbfa.f zpbfa.f plus dependencies gams D2d2 for factors a complex hermitian positive definite matrix stored , in band form prec doublecomplex file spbsl.f spbsl.f plus dependencies 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 dpbsl.f dpbsl.f plus dependencies 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 cpbsl.f cpbsl.f plus dependencies 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 zpbsl.f zpbsl.f plus dependencies 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 spoco.f spoco.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix and , estimates the condition number of the matrix prec single file dpoco.f dpoco.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix and , estimates the condition number of the matrix prec double file cpoco.f cpoco.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix and , estimates the condition number of the matrix prec complex file zpoco.f zpoco.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix and , estimates the condition number of the matrix prec doublecomplex file spodi.f spodi.f plus dependencies 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 dpodi.f dpodi.f plus dependencies 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 cpodi.f cpodi.f plus dependencies 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 zpodi.f zpodi.f plus dependencies 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 spofa.f spofa.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix prec single file dpofa.f dpofa.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix prec double file cpofa.f cpofa.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix prec complex file zpofa.f zpofa.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix prec doublecomplex file sposl.f sposl.f plus dependencies 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 dposl.f dposl.f plus dependencies 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 cposl.f cposl.f plus dependencies 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 zposl.f zposl.f plus dependencies 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 sppco.f sppco.f plus dependencies 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 dppco.f dppco.f plus dependencies 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 cppco.f cppco.f plus dependencies 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 zppco.f zppco.f plus dependencies 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 sppdi.f sppdi.f plus dependencies 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 dppdi.f dppdi.f plus dependencies 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 cppdi.f cppdi.f plus dependencies 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 zppdi.f zppdi.f plus dependencies 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 sppfa.f sppfa.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form prec single file dppfa.f dppfa.f plus dependencies gams D2b1b for factors a real symmetric positive definite matrix stored , in packed form prec double file cppfa.f cppfa.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form prec complex file zppfa.f zppfa.f plus dependencies gams D2d1b for factors a complex hermitian positive definite matrix stored , in packed form prec doublecomplex file sppsl.f sppsl.f plus dependencies 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 dppsl.f dppsl.f plus dependencies 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 cppsl.f cppsl.f plus dependencies 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 zppsl.f zppsl.f plus dependencies 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 sptsl.f gams D2b2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec single file dptsl.f gams D2b2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec double file cptsl.f gams D2d2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec complex file zptsl.f gams D2d2a for given a positive definite tridiagonal matrix and a right hand , side will find the solution prec doublecomplex file sqrdc.f sqrdc.f plus dependencies 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 dqrdc.f dqrdc.f plus dependencies 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 cqrdc.f cqrdc.f plus dependencies 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 zqrdc.f zqrdc.f plus dependencies 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 sqrsl.f sqrsl.f plus dependencies gams D2a1, D9a1 for applies the output of (linpack/sqrdc) to compute coordinate , transformations, projections, and least squares solutions prec single file dqrsl.f dqrsl.f plus dependencies gams D2a1, D9a1 for applies the output of (linpack/dqrdc) to compute coordinate , transformations, projections, and least squares solutions prec double file cqrsl.f cqrsl.f plus dependencies gams D9a1, D2c1 for applies the output of (linpack/cqrdc) to compute coordinate , transformations, projections, and least squares solutions prec complex file zqrsl.f zqrsl.f plus dependencies gams D9a1, D2c1 for applies the output of (linpack/zqrdc) to compute coordinate , transformations, projections, and least squares solutions prec doublecomplex file ssico.f ssico.f plus dependencies gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec single file dsico.f dsico.f plus dependencies gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec double file csico.f csico.f plus dependencies gams D2c1 for factors a complex symmetric matrix by eliminatin with symmetric , pivoting and estimates the condition number of the matrix prec complex file zsico.f zsico.f plus dependencies gams D2c1 for factors a complex symmetric matrix by eliminatin with symmetric , pivoting and estimates the condition number of the matrix prec doublecomplex file chico.f chico.f plus dependencies gams D2d1a for factors a complex Hermitian matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec complex file zhico.f zhico.f plus dependencies gams D2d1a for factors a complex Hermitian matrix by elimination with symmetric , pivoting and estimates the condition number of the matrix prec doublecomplex file ssidi.f ssidi.f plus dependencies gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a real symmetric , matrix using the factors from linpack/ssifa prec single file dsidi.f dsidi.f plus dependencies gams D2b1a, D3b1a for computes the determinant, inertia and inverse of a real symmetric , matrix using the factors from linpack/dsifa prec double file csidi.f csidi.f plus dependencies gams D2c1, D3c1 for computes the determinant, inertia and inverse of a complex symmetric , matrix using the factors from linpack/csifa prec complex file zsidi.f zsidi.f plus dependencies gams D2c1, D3c1 for computes the determinant, inertia and inverse of a complex symmetric , matrix using the factors from linpack/zsifa prec doublecomplex file chidi.f chidi.f plus dependencies gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a complex , Hermitian matrix using the factors from linpack/chifa prec complex file zhidi.f zhidi.f plus dependencies gams D2d1a, D3d1a for computes the determinant, inertia and inverse of a complex , Hermitian matrix using the factors from linpack/zhifa) prec doublecomplex file ssifa.f ssifa.f plus dependencies gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting prec single file dsifa.f dsifa.f plus dependencies gams D2b1a for factors a real symmetric matrix by elimination with symmetric , pivoting prec double file csifa.f csifa.f plus dependencies gams D2c1 for factors a complex symmetric matrix , by elimination with symmetric pivoting prec complex file zsifa.f zsifa.f plus dependencies gams D2c1 for factors a complex symmetric matrix , by elimination with symmetric pivoting prec doublecomplex file chifa.f chifa.f plus dependencies gams D2d1a for factors a complex Hermitian matrix , by elimination with symmetric pivoting prec complex file zhifa.f zhifa.f plus dependencies gams D2d1a for factors a complex Hermitian matrix , by elimination with symmetric pivoting prec doublecomplex file ssisl.f ssisl.f plus dependencies gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/ssifa prec single file dsisl.f dsisl.f plus dependencies gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/dsifa prec double file csisl.f csisl.f plus dependencies gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/csifa prec complex file zsisl.f zsisl.f plus dependencies gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/zsifa prec doublecomplex file chisl.f chisl.f plus dependencies gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/chifa prec complex file zhisl.f zhisl.f plus dependencies gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/zhifa prec doublecomplex file sspco.f sspco.f plus dependencies 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 dspco.f dspco.f plus dependencies 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 cspco.f cspco.f plus dependencies 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 zspco.f zspco.f plus dependencies 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 chpco.f chpco.f plus dependencies 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 zhpco.f zhpco.f plus dependencies 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 sspdi.f sspdi.f plus dependencies 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 dspdi.f dspdi.f plus dependencies 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 cspdi.f cspdi.f plus dependencies 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 zspdi.f zspdi.f plus dependencies 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 chpdi.f chpdi.f plus dependencies 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 zhpdi.f zhpdi.f plus dependencies 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 sspfa.f sspfa.f plus dependencies gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting prec single file dspfa.f dspfa.f plus dependencies gams D2b1a for factors a real symmetric matrix , stored in packed form by elimination with symmetric pivoting prec double file cspfa.f cspfa.f plus dependencies gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting prec complex file zspfa.f zspfa.f plus dependencies gams D2c1 for factors a complex symmetric matrix , stored in packed form by elimination with symmetric pivoting prec doublecomplex file chpfa.f chpfa.f plus dependencies gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting prec complex file zhpfa.f zhpfa.f plus dependencies gams D2d1a for factors a complex Hermitian matrix , stored in packed form by elimination with symmetric pivoting prec doublecomplex file sspsl.f sspsl.f plus dependencies gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/sspfa prec single file dspsl.f dspsl.f plus dependencies gams D2b1a for solves the real symmetric system , Ax = b using the factors computed by linpack/dspfa prec double file cspsl.f cspsl.f plus dependencies gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/cspfa prec complex file zspsl.f zspsl.f plus dependencies gams D2c1 for solves the complex symmetric system , Ax = b using the factors computed by linpack/zspfa prec doublecomplex file chpsl.f chpsl.f plus dependencies gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/chpfa prec complex file zhpsl.f zhpsl.f plus dependencies gams D2d1a for solves the complex Hermitian system , Ax = b using the factors computed by linpack/zhpfa prec doublecomplex file ssvdc.f ssvdc.f plus dependencies gams D6 for reduces a real matrix to diagonal form by orthogonal/unitary , transformations prec single file dsvdc.f dsvdc.f plus dependencies gams D6 for reduces a real matrix to diagonal form by orthogonal/unitary , transformations prec double file csvdc.f csvdc.f plus dependencies gams D6 for reduces a complex matrix to diagonal form by orthogonal/unitary , transformations prec complex file zsvdc.f zsvdc.f plus dependencies gams D6 for reduces a complex matrix to diagonal form by orthogonal/unitary , transformations prec doublecomplex file strco.f strco.f plus dependencies gams D2a3 for estimates the condition number of a triangular matrix prec single file dtrco.f dtrco.f plus dependencies gams D2a3 for estimates the condition number of a triangular matrix prec double file ctrco.f ctrco.f plus dependencies gams D2c3 for estimates the condition number of a triangular matrix prec complex file ztrco.f ztrco.f plus dependencies gams D2c3 for estimates the condition number of a triangular matrix prec doublecomplex file strdi.f strdi.f plus dependencies gams D2a3, D3a3 for computes the determinant and inverse of a triangular matrix prec single file dtrdi.f dtrdi.f plus dependencies gams D2a3, D3a3 for computes the determinant and inverse of a triangular matrix prec double file ctrdi.f ctrdi.f plus dependencies gams D2c3, D3c3 for computes the determinant and inverse of a triangular matrix prec complex file ztrdi.f ztrdi.f plus dependencies gams D2c3, D3c3 for computes the determinant and inverse of a triangular matrix prec doublecomplex file strsl.f strsl.f plus dependencies 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 dtrsl.f dtrsl.f plus dependencies 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 ctrsl.f ctrsl.f plus dependencies 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 ztrsl.f ztrsl.f plus dependencies 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