FunctionName Mark ofIntroduction Purpose f07aac Example Text Example Data 23 nag_dgesv Computes the solution to a real system of linear equations f07abc Example Text Example Data 23 nag_dgesvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real system of linear equations f07acc Example Text Example Data 23 nag_dsgesv Mixed precision real system solver f07adc Example Text Example Data 7 nag_dgetrf $LU$ 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) f07afc Example Text Example Data 23 nag_dgeequ Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number 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) f07anc Example Text Example Data 23 nag_zgesv Computes the solution to a complex system of linear equations f07apc Example Text Example Data 23 nag_zgesvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations f07aqc Example Text Example Data 23 nag_zcgesv Mixed precision complex system solver f07arc Example Text Example Data 7 nag_zgetrf $LU$ 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) f07atc Example Text Example Data 23 nag_zgeequ Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number 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) f07bac Example Text Example Data 23 nag_dgbsv Computes the solution to a real banded system of linear equations f07bbc Example Text Example Data 23 nag_dgbsvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations f07bdc Example Text Example Data 7 nag_dgbtrf $LU$ 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) f07bfc Example Text Example Data 23 nag_dgbequ Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number 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 f07bnc Example Text Example Data 23 nag_zgbsv Computes the solution to a complex banded system of linear equations f07bpc Example Text Example Data 23 nag_zgbsvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations f07brc Example Text Example Data 7 nag_zgbtrf $LU$ 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) f07btc Example Text Example Data 23 nag_zgbequ Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number 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 f07cac Example Text Example Data 23 nag_dgtsv Computes the solution to a real tridiagonal system of linear equations f07cbc Example Text Example Data 23 nag_dgtsvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations f07cdc Example Text Example Data 23 nag_dgttrf $LU$ factorization of real tridiagonal matrix f07cec Example Text Example Data 23 nag_dgttrs Solves a real tridiagonal system of linear equations using the $LU$ factorization computed by nag_dgttrf (f07cdc) f07cgc Example Text Example Data 23 nag_dgtcon Estimates the reciprocal of the condition number of a real tridiagonal matrix using the $LU$ factorization computed by nag_dgttrf (f07cdc) f07chc Example Text Example Data 23 nag_dgtrfs Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides f07cnc Example Text Example Data 23 nag_zgtsv Computes the solution to a complex tridiagonal system of linear equations f07cpc Example Text Example Data 23 nag_zgtsvx Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations f07crc Example Text Example Data 23 nag_zgttrf $LU$ factorization of complex tridiagonal matrix f07csc Example Text Example Data 23 nag_zgttrs Solves a complex tridiagonal system of linear equations using the $LU$ factorization computed by nag_dgttrf (f07cdc) f07cuc Example Text Example Data 23 nag_zgtcon Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the $LU$ factorization computed by nag_dgttrf (f07cdc) f07cvc Example Text Example Data 23 nag_zgtrfs Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides f07fac Example Text Example Data 23 nag_dposv Computes the solution to a real symmetric positive definite system of linear equations f07fbc Example Text Example Data 23 nag_dposvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations 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) f07ffc Example Text Example Data 23 nag_dpoequ Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number 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) f07fnc Example Text Example Data 23 nag_zposv Computes the solution to a complex Hermitian positive definite system of linear equations f07fpc Example Text Example Data 23 nag_zposvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations 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) f07ftc Example Text Example Data 23 nag_zpoequ Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number 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) f07gac Example Text Example Data 23 nag_dppsv Computes the solution to a real symmetric positive definite system of linear equations, packed storage f07gbc Example Text Example Data 23 nag_dppsvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage 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 f07gfc Example Text Example Data 23 nag_dppequ Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, 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 f07gnc Example Text Example Data 23 nag_zppsv Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage f07gpc Example Text Example Data 23 nag_zppsvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, 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 f07gtc Example Text Example Data 23 nag_zppequ Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, 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 f07hac Example Text Example Data 23 nag_dpbsv Computes the solution to a real symmetric positive definite banded system of linear equations f07hbc Example Text Example Data 23 nag_dpbsvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations 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) f07hfc Example Text Example Data 23 nag_dpbequ Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number 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 f07hnc Example Text Example Data 23 nag_zpbsv Computes the solution to a complex Hermitian positive definite banded system of linear equations f07hpc Example Text Example Data 23 nag_zpbsvx Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations 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) f07htc Example Text Example Data 23 nag_zpbequ Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number 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 f07jac Example Text Example Data 23 nag_dptsv Computes the solution to a real symmetric positive definite tridiagonal system of linear equations f07jbc Example Text Example Data 23 nag_dptsvx Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations f07jdc Example Text Example Data 23 nag_dpttrf Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix f07jec Example Text Example Data 23 nag_dpttrs Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by nag_dpttrf (f07jdc) f07jgc Example Text Example Data 23 nag_dptcon Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by nag_dpttrf (f07jdc) f07jhc Example Text Example Data 23 nag_dptrfs Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides f07jnc Example Text Example Data 23 nag_zptsv Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations f07jpc Example Text Example Data 23 nag_zptsvx Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations f07jrc Example Text Example Data 23 nag_zpttrf Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix f07jsc Example Text Example Data 23 nag_zpttrs Solves a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by nag_zpttrf (f07jrc) f07juc Example Text Example Data 23 nag_zptcon Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by nag_zpttrf (f07jrc) f07jvc Example Text Example Data 23 nag_zptrfs Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides f07mac Example Text Example Data 23 nag_dsysv Computes the solution to a real symmetric system of linear equations f07mbc Example Text Example Data 23 nag_dsysvx Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations 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) f07mnc Example Text Example Data 23 nag_zhesv Computes the solution to a complex Hermitian system of linear equations f07mpc Example Text Example Data 23 nag_zhesvx Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations 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) f07nnc Example Text Example Data 23 nag_zsysv Computes the solution to a complex symmetric system of linear equations f07npc Example Text Example Data 23 nag_zsysvx Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations 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) f07pac Example Text Example Data 23 nag_dspsv Computes the solution to a real symmetric system of linear equations, packed storage f07pbc Example Text Example Data 23 nag_dspsvx Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage 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 f07pnc Example Text Example Data 23 nag_zhpsv Computes the solution to a complex Hermitian system of linear equations, packed storage f07ppc Example Text Example Data 23 nag_zhpsvx Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, 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 f07qnc Example Text Example Data 23 nag_zspsv Computes the solution to a complex symmetric system of linear equations, packed storage f07qpc Example Text Example Data 23 nag_zspsvx Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, 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