C Library, Mark 7 : f07 Chapter Contents

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

f07 – Linear Equations (LAPACK)