NAG Fortran Library

F07 – Linear Equations (LAPACK)

F07 Chapter Introduction

Routine
Name
Mark of
Introduction

Purpose
F07ADF (SGETRF/DGETRF) Example Text Example Data 15 LU factorization of real m by n matrix
F07AEF (SGETRS/DGETRS) Example Text Example Data 15 Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by F07ADF (SGETRF/DGETRF)
F07AGF (SGECON/DGECON) Example Text Example Data 15 Estimate condition number of real matrix, matrix already factorized by F07ADF (SGETRF/DGETRF)
F07AHF (SGERFS/DGERFS) Example Text Example Data 15 Refined solution with error bounds of real system of linear equations, multiple right-hand sides
F07AJF (SGETRI/DGETRI) Example Text Example Data 15 Inverse of real matrix, matrix already factorized by F07ADF (SGETRF/DGETRF)
F07ARF (CGETRF/ZGETRF) Example Text Example Data 15 LU factorization of complex m by n matrix
F07ASF (CGETRS/ZGETRS) Example Text Example Data 15 Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by F07ARF (CGETRF/ZGETRF)
F07AUF (CGECON/ZGECON) Example Text Example Data 15 Estimate condition number of complex matrix, matrix already factorized by F07ARF (CGETRF/ZGETRF)
F07AVF (CGERFS/ZGERFS) Example Text Example Data 15 Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
F07AWF (CGETRI/ZGETRI) Example Text Example Data 15 Inverse of complex matrix, matrix already factorized by F07ARF (CGETRF/ZGETRF)
F07BDF (SGBTRF/DGBTRF) Example Text Example Data 15 LU factorization of real m by n band matrix
F07BEF (SGBTRS/DGBTRS) Example Text Example Data 15 Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF (SGBTRF/DGBTRF)
F07BGF (SGBCON/DGBCON) Example Text Example Data 15 Estimate condition number of real band matrix, matrix already factorized by F07BDF (SGBTRF/DGBTRF)
F07BHF (SGBRFS/DGBRFS) Example Text Example Data 15 Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
F07BRF (CGBTRF/ZGBTRF) Example Text Example Data 15 LU factorization of complex m by n band matrix
F07BSF (CGBTRS/ZGBTRS) Example Text Example Data 15 Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF (CGBTRF/ZGBTRF)
F07BUF (CGBCON/ZGBCON) Example Text Example Data 15 Estimate condition number of complex band matrix, matrix already factorized by F07BRF (CGBTRF/ZGBTRF)
F07BVF (CGBRFS/ZGBRFS) Example Text Example Data 15 Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
F07FDF (SPOTRF/DPOTRF) Example Text Example Data 15 Cholesky factorization of real symmetric positive-definite matrix
F07FEF (SPOTRS/DPOTRS) Example Text Example Data 15 Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF (SPOTRF/DPOTRF)
F07FGF (SPOCON/DPOCON) Example Text Example Data 15 Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07FDF (SPOTRF/DPOTRF)
F07FHF (SPORFS/DPORFS) Example Text Example Data 15 Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides
F07FJF (SPOTRI/DPOTRI) Example Text Example Data 15 Inverse of real symmetric positive-definite matrix, matrix already factorized by F07FDF (SPOTRF/DPOTRF)
F07FRF (CPOTRF/ZPOTRF) Example Text Example Data 15 Cholesky factorization of complex Hermitian positive-definite matrix
F07FUF (CPOCON/ZPOCON) Example Text Example Data 15 Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by F07FRF (CPOTRF/ZPOTRF)
F07FVF (CPORFS/ZPORFS) Example Text Example Data 15 Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides
F07FWF (CPOTRI/ZPOTRI) Example Text Example Data 15 Inverse of complex Hermitian positive-definite matrix, matrix already factorized by F07FRF (CPOTRF/ZPOTRF)
F07GDF (SPPTRF/DPPTRF) Example Text Example Data 15 Cholesky factorization of real symmetric positive-definite matrix, packed storage
F07GEF (SPPTRS/DPPTRS) Example Text Example Data 15 Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF (SPPTRF/DPPTRF) , packed storage
F07GGF (SPPCON/DPPCON) Example Text Example Data 15 Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07GDF (SPPTRF/DPPTRF) , packed storage
F07GHF (SPPRFS/DPPRFS) Example Text Example Data 15 Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage
F07GJF (SPPTRI/DPPTRI) Example Text Example Data 15 Inverse of real symmetric positive-definite matrix, matrix already factorized by F07GDF (SPPTRF/DPPTRF) , packed storage
F07GRF (CPPTRF/ZPPTRF) Example Text Example Data 15 Cholesky factorization of complex Hermitian positive-definite matrix, packed storage
F07GSF (CPPTRS/ZPPTRS) Example Text Example Data 15 Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF (CPPTRF/ZPPTRF) , packed storage
F07GUF (CPPCON/ZPPCON) Example Text Example Data 15 Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by F07GRF (CPPTRF/ZPPTRF) , packed storage
F07GVF (CPPRFS/ZPPRFS) Example Text Example Data 15 Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage
F07GWF (CPPTRI/ZPPTRI) Example Text Example Data 15 Inverse of complex Hermitian positive-definite matrix, matrix already factorized by F07GRF (CPPTRF/ZPPTRF) , packed storage
F07HDF (SPBTRF/DPBTRF) Example Text Example Data 15 Cholesky factorization of real symmetric positive-definite band matrix
F07HEF (SPBTRS/DPBTRS) Example Text Example Data 15 Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF (SPBTRF/DPBTRF)
F07HGF (SPBCON/DPBCON) Example Text Example Data 15 Estimate condition number of real symmetric positive-definite band matrix, matrix already factorized by F07HDF (SPBTRF/DPBTRF)
F07HHF (SPBRFS/DPBRFS) Example Text Example Data 15 Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides
F07HRF (CPBTRF/ZPBTRF) Example Text Example Data 15 Cholesky factorization of complex Hermitian positive-definite band matrix
F07HSF (CPBTRS/ZPBTRS) Example Text Example Data 15 Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF (CPBTRF/ZPBTRF)
F07HUF (CPBCON/ZPBCON) Example Text Example Data 15 Estimate condition number of complex Hermitian positive-definite band matrix, matrix already factorized by F07HRF (CPBTRF/ZPBTRF)
F07HVF (CPBRFS/ZPBRFS) Example Text Example Data 15 Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides
F07MDF (SSYTRF/DSYTRF) Example Text Example Data 15 Bunch–Kaufman factorization of real symmetric indefinite matrix
F07MEF (SSYTRS/DSYTRS) Example Text Example Data 15 Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MDF (SSYTRF/DSYTRF)
F07MGF (SSYCON/DSYCON) Example Text Example Data 15 Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07MDF (SSYTRF/DSYTRF)
F07MHF (SSYRFS/DSYRFS) Example Text Example Data 15 Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
F07MJF (SSYTRI/DSYTRI) Example Text Example Data 15 Inverse of real symmetric indefinite matrix, matrix already factorized by F07MDF (SSYTRF/DSYTRF)
F07MRF (CHETRF/ZHETRF) Example Text Example Data 15 Bunch–Kaufman factorization of complex Hermitian indefinite matrix
F07MSF (CHETRS/ZHETRS) Example Text Example Data 15 Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF (CHETRF/ZHETRF)
F07MUF (CHECON/ZHECON) Example Text Example Data 15 Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07MRF (CHETRF/ZHETRF)
F07MVF (CHERFS/ZHERFS) Example Text Example Data 15 Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
F07MWF (CHETRI/ZHETRI) Example Text Example Data 15 Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07MRF (CHETRF/ZHETRF)
F07NRF (CSYTRF/ZSYTRF) Example Text Example Data 15 Bunch–Kaufman factorization of complex symmetric matrix
F07NSF (CSYTRS/ZSYTRS) Example Text Example Data 15 Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07NRF (CSYTRF/ZSYTRF)
F07NUF (CSYCON/ZSYCON) Example Text Example Data 15 Estimate condition number of complex symmetric matrix, matrix already factorized by F07NRF (CSYTRF/ZSYTRF)
F07NVF (CSYRFS/ZSYRFS) Example Text Example Data 15 Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
F07NWF (CSYTRI/ZSYTRI) Example Text Example Data 15 Inverse of complex symmetric matrix, matrix already factorized by F07NRF (CSYTRF/ZSYTRF)
F07PDF (SSPTRF/DSPTRF) Example Text Example Data 15 Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
F07PEF (SSPTRS/DSPTRS) Example Text Example Data 15 Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PDF (SSPTRF/DSPTRF) , packed storage
F07PGF (SSPCON/DSPCON) Example Text Example Data 15 Estimate condition number of real symmetric indefinite matrix, matrix already factorized by F07PDF (SSPTRF/DSPTRF) , packed storage
F07PHF (SSPRFS/DSPRFS) Example Text Example Data 15 Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
F07PJF (SSPTRI/DSPTRI) Example Text Example Data 15 Inverse of real symmetric indefinite matrix, matrix already factorized by F07PDF (SSPTRF/DSPTRF) , packed storage
F07PRF (CHPTRF/ZHPTRF) Example Text Example Data 15 Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
F07PSF (CHPTRS/ZHPTRS) Example Text Example Data 15 Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF (CHPTRF/ZHPTRF) , packed storage
F07PUF (CHPCON/ZHPCON) Example Text Example Data 15 Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07PRF (CHPTRF/ZHPTRF) , packed storage
F07PVF (CHPRFS/ZHPRFS) Example Text Example Data 15 Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
F07PWF (CHPTRI/ZHPTRI) Example Text Example Data 15 Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07PRF (CHPTRF/ZHPTRF) , packed storage
F07QRF (CSPTRF/ZSPTRF) Example Text Example Data 15 Bunch–Kaufman factorization of complex symmetric matrix, packed storage
F07QSF (CSPTRS/ZSPTRS) Example Text Example Data 15 Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by F07QRF (CSPTRF/ZSPTRF) , packed storage
F07QUF (CSPCON/ZSPCON) Example Text Example Data 15 Estimate condition number of complex symmetric matrix, matrix already factorized by F07QRF (CSPTRF/ZSPTRF) , packed storage
F07QVF (CSPRFS/ZSPRFS) Example Text Example Data 15 Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
F07QWF (CSPTRI/ZSPTRI) Example Text Example Data 15 Inverse of complex symmetric matrix, matrix already factorized by F07QRF (CSPTRF/ZSPTRF) , packed storage
F07TEF (STRTRS/DTRTRS) Example Text Example Data 15 Solution of real triangular system of linear equations, multiple right-hand sides
F07TGF (STRCON/DTRCON) Example Text Example Data 15 Estimate condition number of real triangular matrix
F07THF (STRRFS/DTRRFS) Example Text Example Data 15 Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
F07TJF (STRTRI/DTRTRI) Example Text Example Data 15 Inverse of real triangular matrix
F07TSF (CTRTRS/ZTRTRS) Example Text Example Data 15 Solution of complex triangular system of linear equations, multiple right-hand sides
F07TUF (CTRCON/ZTRCON) Example Text Example Data 15 Estimate condition number of complex triangular matrix
F07TVF (CTRRFS/ZTRRFS) Example Text Example Data 15 Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
F07TWF (CTRTRI/ZTRTRI) Example Text Example Data 15 Inverse of complex triangular matrix
F07UEF (STPTRS/DTPTRS) Example Text Example Data 15 Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
F07UGF (STPCON/DTPCON) Example Text Example Data 15 Estimate condition number of real triangular matrix, packed storage
F07UHF (STPRFS/DTPRFS) Example Text Example Data 15 Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
F07UJF (STPTRI/DTPTRI) Example Text Example Data 15 Inverse of real triangular matrix, packed storage
F07USF (CTPTRS/ZTPTRS) Example Text Example Data 15 Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07UUF (CTPCON/ZTPCON) Example Text Example Data 15 Estimate condition number of complex triangular matrix, packed storage
F07UVF (CTPRFS/ZTPRFS) Example Text Example Data 15 Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
F07UWF (CTPTRI/ZTPTRI) Example Text Example Data 15 Inverse of complex triangular matrix, packed storage
F07VEF (STBTRS/DTBTRS) Example Text Example Data 15 Solution of real band triangular system of linear equations, multiple right-hand sides
F07VGF (STBCON/DTBCON) Example Text Example Data 15 Estimate condition number of real band triangular matrix
F07VHF (STBRFS/DTBRFS) Example Text Example Data 15 Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
F07VSF (CTBTRS/ZTBTRS) Example Text Example Data 15 Solution of complex band triangular system of linear equations, multiple right-hand sides
F07VUF (CTBCON/ZTBCON) Example Text Example Data 15 Estimate condition number of complex band triangular matrix
F07VVF (CTBRFS/ZTBRFS) Example Text Example Data 15 Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides

Table of Contents
© The Numerical Algorithms Group Ltd, Oxford UK. 2002