NAG C Library

f07 – Linear Equations (LAPACK)

f07 Chapter Introduction

Routine
Name
Mark of
Introduction

Purpose
f07adc 7 nag_dgetrf
LU factorization of real m by n matrix
f07aec 7 nag_dgetrs
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07adc
f07agc 7 nag_dgecon
Estimate condition number of real matrix, matrix already factorized by f07adc
f07ahc 7 nag_dgerfs
Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f07ajc 7 nag_dgetri
Inverse of real matrix, matrix already factorized by f07adc
f07arc 7 nag_zgetrf
LU factorization of complex m by n matrix
f07asc 7 nag_zgetrs
Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07arc
f07auc 7 nag_zgecon
Estimate condition number of complex matrix, matrix already factorized by f07arc
f07avc 7 nag_zgerfs
Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
f07awc 7 nag_zgetri
Inverse of complex matrix, matrix already factorized by f07arc
f07bdc 7 nag_dgbtrf
LU factorization of real m by n band matrix
f07bec 7 nag_dgbtrs
Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bdc
f07bgc 7 nag_dgbcon
Estimate condition number of real band matrix, matrix already factorized by f07bdc
f07bhc 7 nag_dgbrfs
Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
f07brc 7 nag_zgbtrf
LU factorization of complex m by n band matrix
f07bsc 7 nag_zgbtrs
Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07brc
f07buc 7 nag_zgbcon
Estimate condition number of complex band matrix, matrix already factorized by f07brc
f07bvc 7 nag_zgbrfs
Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
f07fdc 7 nag_dpotrf
Cholesky factorization of real symmetric positive-definite matrix
f07fec 7 nag_dpotrs
Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdc
f07fgc 7 nag_dpocon
Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by f07fdc
f07fhc 7 nag_dporfs
Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides
f07fjc 7 nag_dpotri
Inverse of real symmetric positive-definite matrix, matrix already factorized by f07fdc
f07frc 7 nag_zpotrf
Cholesky factorization of complex Hermitian positive-definite matrix
f07fsc 7 nag_zpotrs
Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07frc
f07fuc 7 nag_zpocon
Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by f07frc
f07fvc 7 nag_zporfs
Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides
f07fwc 7 nag_zpotri
Inverse of complex Hermitian positive-definite matrix, matrix already factorized by f07frc
f07gdc 7 nag_dpptrf
Cholesky factorization of real symmetric positive-definite matrix, packed storage
f07gec 7 nag_dpptrs
Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdc, packed storage
f07ggc 7 nag_dppcon
Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by f07gdc, packed storage
f07ghc 7 nag_dpprfs
Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage
f07gjc 7 nag_dpptri
Inverse of real symmetric positive-definite matrix, matrix already factorized by f07gdc, packed storage
f07grc 7 nag_zpptrf
Cholesky factorization of complex Hermitian positive-definite matrix, packed storage
f07gsc 7 nag_zpptrs
Solution of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by f07grc, packed storage
f07guc 7 nag_zppcon
Estimate condition number of complex Hermitian positive-definite matrix, matrix already factorized by f07grc, packed storage
f07gvc 7 nag_zpprfs
Refined solution with error bounds of complex Hermitian positive-definite system of linear equations, multiple right-hand sides, packed storage
f07gwc 7 nag_zpptri
Inverse of complex Hermitian positive-definite matrix, matrix already factorized by f07grc, packed storage
f07hdc 7 nag_dpbtrf
Cholesky factorization of real symmetric positive-definite band matrix
f07hec 7 nag_dpbtrs
Solution of real symmetric positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdc
f07hgc 7 nag_dpbcon
Estimate condition number of real symmetric positive-definite band matrix, matrix already factorized by f07hdc
f07hhc 7 nag_dpbrfs
Refined solution with error bounds of real symmetric positive-definite band system of linear equations, multiple right-hand sides
f07hrc 7 nag_zpbtrf
Cholesky factorization of complex Hermitian positive-definite band matrix
f07hsc 7 nag_zpbtrs
Solution of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hrc
f07huc 7 nag_zpbcon
Estimate condition number of complex Hermitian positive-definite band matrix, matrix already factorized by f07hrc
f07hvc 7 nag_zpbrfs
Refined solution with error bounds of complex Hermitian positive-definite band system of linear equations, multiple right-hand sides
f07mdc 7 nag_dsytrf
Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mec 7 nag_dsytrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdc
f07mgc 7 nag_dsycon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07mhc 7 nag_dsyrfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
f07mjc 7 nag_dsytri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07mrc 7 nag_zhetrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix
f07msc 7 nag_zhetrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mrc
f07muc 7 nag_zhecon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrc
f07mvc 7 nag_zherfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
f07mwc 7 nag_zhetri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mrc
f07nrc 7 nag_zsytrf
Bunch–Kaufman factorization of complex symmetric matrix
f07nsc 7 nag_zsytrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrc
f07nuc 7 nag_zsycon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc
f07nvc 7 nag_zsyrfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
f07nwc 7 nag_zsytri
Inverse of complex symmetric matrix, matrix already factorized by f07nrc
f07pdc 7 nag_dsptrf
Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pec 7 nag_dsptrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdc, packed storage
f07pgc 7 nag_dspcon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07phc 7 nag_dsprfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
f07pjc 7 nag_dsptri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07prc 7 nag_zhptrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
f07psc 7 nag_zhptrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07prc, packed storage
f07puc 7 nag_zhpcon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07prc, packed storage
f07pvc 7 nag_zhprfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
f07pwc 7 nag_zhptri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07prc, packed storage
f07qrc 7 nag_zsptrf
Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsc 7 nag_zsptrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrc, packed storage
f07quc 7 nag_zspcon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f07qvc 7 nag_zsprfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
f07qwc 7 nag_zsptri
Inverse of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f07tec 7 nag_dtrtrs
Solution of real triangular system of linear equations, multiple right-hand sides
f07tgc 7 nag_dtrcon
Estimate condition number of real triangular matrix
f07thc 7 nag_dtrrfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
f07tjc 7 nag_dtrtri
Inverse of real triangular matrix
f07tsc 7 nag_ztrtrs
Solution of complex triangular system of linear equations, multiple right-hand sides
f07tuc 7 nag_ztrcon
Estimate condition number of complex triangular matrix
f07tvc 7 nag_ztrrfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
f07twc 7 nag_ztrtri
Inverse of complex triangular matrix
f07uec 7 nag_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ugc 7 nag_dtpcon
Estimate condition number of real triangular matrix, packed storage
f07uhc 7 nag_dtprfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ujc 7 nag_dtptri
Inverse of real triangular matrix, packed storage
f07usc 7 nag_ztptrs
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uuc 7 nag_ztpcon
Estimate condition number of complex triangular matrix, packed storage
f07uvc 7 nag_ztprfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uwc 7 nag_ztptri
Inverse of complex triangular matrix, packed storage
f07vec 7 nag_dtbtrs
Solution of real band triangular system of linear equations, multiple right-hand sides
f07vgc 7 nag_dtbcon
Estimate condition number of real band triangular matrix
f07vhc 7 nag_dtbrfs
Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
f07vsc 7 nag_ztbtrs
Solution of complex band triangular system of linear equations, multiple right-hand sides
f07vuc 7 nag_ztbcon
Estimate condition number of complex band triangular matrix
f07vvc 7 nag_ztbrfs
Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides

NAG C Library
© The Numerical Algorithms Group Ltd, Oxford UK. 2002