LINPACK (original) (raw)

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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 LINPACK has been largely superceded byLAPACK, which has been designed to run efficiently on shared-memory, vector supercomputers.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 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