Routine Name

Mark of Introduction

Purpose

f07aac

23

nag_dgesv Computes the solution to a real system of linear equations

f07abc

23

nag_dgesvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a real system of linear equations

f07acc

23

nag_dsgesv Computes the solution to a real system of linear equations using mixed precision arithmetic

f07adc

7

nag_dgetrf LU factorization of real m by n matrix

f07aec

7

nag_dgetrs Solution of real system of linear equations, multiple righthand sides, matrix already factorized by nag_dgetrf (f07adc)

f07afc

23

nag_dgeequ Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number

f07agc

7

nag_dgecon Estimate condition number of real matrix, matrix already factorized by nag_dgetrf (f07adc)

f07ahc

7

nag_dgerfs Refined solution with error bounds of real system of linear equations, multiple righthand sides

f07ajc

7

nag_dgetri Inverse of real matrix, matrix already factorized by nag_dgetrf (f07adc)

f07anc

23

nag_zgesv Computes the solution to a complex system of linear equations

f07apc

23

nag_zgesvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a complex system of linear equations

f07aqc

23

nag_zcgesv Computes the solution to a complex system of linear equations using mixed precision arithmetic

f07arc

7

nag_zgetrf LU factorization of complex m by n matrix

f07asc

7

nag_zgetrs Solution of complex system of linear equations, multiple righthand sides, matrix already factorized by nag_zgetrf (f07arc)

f07atc

23

nag_zgeequ Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number

f07auc

7

nag_zgecon Estimate condition number of complex matrix, matrix already factorized by nag_zgetrf (f07arc)

f07avc

7

nag_zgerfs Refined solution with error bounds of complex system of linear equations, multiple righthand sides

f07awc

7

nag_zgetri Inverse of complex matrix, matrix already factorized by nag_zgetrf (f07arc)

f07bac

23

nag_dgbsv Computes the solution to a real banded system of linear equations

f07bbc

23

nag_dgbsvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a real banded system of linear equations

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 righthand sides, matrix already factorized by nag_dgbtrf (f07bdc)

f07bfc

23

nag_dgbequ Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number

f07bgc

7

nag_dgbcon Estimate condition number of real band matrix, matrix already factorized by nag_dgbtrf (f07bdc)

f07bhc

7

nag_dgbrfs Refined solution with error bounds of real band system of linear equations, multiple righthand sides

f07bnc

23

nag_zgbsv Computes the solution to a complex banded system of linear equations

f07bpc

23

nag_zgbsvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a complex banded system of linear equations

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 righthand sides, matrix already factorized by nag_zgbtrf (f07brc)

f07btc

23

nag_zgbequ Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number

f07buc

7

nag_zgbcon Estimate condition number of complex band matrix, matrix already factorized by nag_zgbtrf (f07brc)

f07bvc

7

nag_zgbrfs Refined solution with error bounds of complex band system of linear equations, multiple righthand sides

f07cac

23

nag_dgtsv Computes the solution to a real tridiagonal system of linear equations

f07cbc

23

nag_dgtsvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a real tridiagonal system of linear equations

f07cdc

23

nag_dgttrf LU factorization of real tridiagonal matrix

f07cec

23

nag_dgttrs Solves a real tridiagonal system of linear equations using the LU factorization computed by nag_dgttrf (f07cdc)

f07cgc

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

23

nag_dgtrfs Refined solution with error bounds of real tridiagonal system of linear equations, multiple righthand sides

f07cnc

23

nag_zgtsv Computes the solution to a complex tridiagonal system of linear equations

f07cpc

23

nag_zgtsvx Uses the LU factorization to compute the solution, errorbound and condition estimate for a complex tridiagonal system of linear equations

f07crc

23

nag_zgttrf LU factorization of complex tridiagonal matrix

f07csc

23

nag_zgttrs Solves a complex tridiagonal system of linear equations using the LU factorization computed by nag_dgttrf (f07cdc)

f07cuc

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

23

nag_zgtrfs Refined solution with error bounds of complex tridiagonal system of linear equations, multiple righthand sides

f07fac

23

nag_dposv Computes the solution to a real symmetric positive definite system of linear equations

f07fbc

23

nag_dposvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive definite system of linear equations

f07fdc

7

nag_dpotrf Cholesky factorization of real symmetric positivedefinite matrix

f07fec

7

nag_dpotrs Solution of real symmetric positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_dpotrf (f07fdc)

f07ffc

23

nag_dpoequ Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number

f07fgc

7

nag_dpocon Estimate condition number of real symmetric positivedefinite matrix, matrix already factorized by nag_dpotrf (f07fdc)

f07fhc

7

nag_dporfs Refined solution with error bounds of real symmetric positivedefinite system of linear equations, multiple righthand sides

f07fjc

7

nag_dpotri Inverse of real symmetric positivedefinite matrix, matrix already factorized by nag_dpotrf (f07fdc)

f07fnc

23

nag_zposv Computes the solution to a complex Hermitian positive definite system of linear equations

f07fpc

23

nag_zposvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a complex Hermitian positive definite system of linear equations

f07frc

7

nag_zpotrf Cholesky factorization of complex Hermitian positivedefinite matrix

f07fsc

7

nag_zpotrs Solution of complex Hermitian positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_zpotrf (f07frc)

f07ftc

23

nag_zpoequ Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number

f07fuc

7

nag_zpocon Estimate condition number of complex Hermitian positivedefinite matrix, matrix already factorized by nag_zpotrf (f07frc)

f07fvc

7

nag_zporfs Refined solution with error bounds of complex Hermitian positivedefinite system of linear equations, multiple righthand sides

f07fwc

7

nag_zpotri Inverse of complex Hermitian positivedefinite matrix, matrix already factorized by nag_zpotrf (f07frc)

f07gac

23

nag_dppsv Computes the solution to a real symmetric positive definite system of linear equations, packed storage

f07gbc

23

nag_dppsvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive definite system of linear equations, packed storage

f07gdc

7

nag_dpptrf Cholesky factorization of real symmetric positivedefinite matrix, packed storage

f07gec

7

nag_dpptrs Solution of real symmetric positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_dpptrf (f07gdc), packed storage

f07gfc

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

7

nag_dppcon Estimate condition number of real symmetric positivedefinite matrix, matrix already factorized by nag_dpptrf (f07gdc), packed storage

f07ghc

7

nag_dpprfs Refined solution with error bounds of real symmetric positivedefinite system of linear equations, multiple righthand sides, packed storage

f07gjc

7

nag_dpptri Inverse of real symmetric positivedefinite matrix, matrix already factorized by nag_dpptrf (f07gdc), packed storage

f07gnc

23

nag_zppsv Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage

f07gpc

23

nag_zppsvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage

f07grc

7

nag_zpptrf Cholesky factorization of complex Hermitian positivedefinite matrix, packed storage

f07gsc

7

nag_zpptrs Solution of complex Hermitian positivedefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_zpptrf (f07grc), packed storage

f07gtc

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

7

nag_zppcon Estimate condition number of complex Hermitian positivedefinite matrix, matrix already factorized by nag_zpptrf (f07grc), packed storage

f07gvc

7

nag_zpprfs Refined solution with error bounds of complex Hermitian positivedefinite system of linear equations, multiple righthand sides, packed storage

f07gwc

7

nag_zpptri Inverse of complex Hermitian positivedefinite matrix, matrix already factorized by nag_zpptrf (f07grc), packed storage

f07hac

23

nag_dpbsv Computes the solution to a real symmetric positive definite banded system of linear equations

f07hbc

23

nag_dpbsvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a real symmetric positive definite banded system of linear equations

f07hdc

7

nag_dpbtrf Cholesky factorization of real symmetric positivedefinite band matrix

f07hec

7

nag_dpbtrs Solution of real symmetric positivedefinite band system of linear equations, multiple righthand sides, matrix already factorized by nag_dpbtrf (f07hdc)

f07hfc

23

nag_dpbequ Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number

f07hgc

7

nag_dpbcon Estimate condition number of real symmetric positivedefinite band matrix, matrix already factorized by nag_dpbtrf (f07hdc)

f07hhc

7

nag_dpbrfs Refined solution with error bounds of real symmetric positivedefinite band system of linear equations, multiple righthand sides

f07hnc

23

nag_zpbsv Computes the solution to a complex Hermitian positive definite banded system of linear equations

f07hpc

23

nag_zpbsvx Uses the Cholesky factorization to compute the solution, errorbound and condition estimate for a complex Hermitian positive definite banded system of linear equations

f07hrc

7

nag_zpbtrf Cholesky factorization of complex Hermitian positivedefinite band matrix

f07hsc

7

nag_zpbtrs Solution of complex Hermitian positivedefinite band system of linear equations, multiple righthand sides, matrix already factorized by nag_zpbtrf (f07hrc)

f07htc

23

nag_zpbequ Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number

f07huc

7

nag_zpbcon Estimate condition number of complex Hermitian positivedefinite band matrix, matrix already factorized by nag_zpbtrf (f07hrc)

f07hvc

7

nag_zpbrfs Refined solution with error bounds of complex Hermitian positivedefinite band system of linear equations, multiple righthand sides

f07jac

23

nag_dptsv Computes the solution to a real symmetric positive definite tridiagonal system of linear equations

f07jbc

23

nag_dptsvx Uses the LDL^{T} factorization to compute the solution, errorbound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations

f07jdc

23

nag_dpttrf Computes the LDL^{T} factorization of a real symmetric positive definite tridiagonal matrix

f07jec

23

nag_dpttrs Solves a real symmetric positive definite tridiagonal system using the LDL^{T} factorization computed by nag_dpttrf (f07jdc)

f07jgc

23

nag_dptcon Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the LDL^{T} factorization computed by nag_dpttrf (f07jdc)

f07jhc

23

nag_zptsv Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations

f07jnc

23

nag_zptsv Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations

f07jpc

23

nag_zptsvx Uses the LDL^{T} factorization to compute the solution, errorbound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations

f07jrc

23

nag_zpttrf Computes the LDL^{H} factorization of a complex Hermitian positive definite tridiagonal matrix

f07jsc

23

nag_zpttrs Solves a complex Hermitian positive definite tridiagonal system using the LDL^{H} factorization computed by nag_zpttrf (f07jrc)

f07juc

23

nag_zptcon Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the LDL^{H} factorization computed by nag_zpttrf (f07jrc)

f07jvc

23

nag_zptrfs Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple righthand sides

f07kdc

25

nag_dpstrf Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix

f07krc

25

nag_zpstrf Cholesky factorization of complex Hermitian positive semidefinite matrix

f07mac

23

nag_dsysv Computes the solution to a real symmetric system of linear equations

f07mbc

23

nag_dsysvx Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations

f07mdc

7

nag_dsytrf BunchKaufman factorization of real symmetric indefinite matrix

f07mec

7

nag_dsytrs Solution of real symmetric indefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_dsytrf (f07mdc)

f07mgc

7

nag_dsycon Estimate condition number of real symmetric indefinite matrix, matrix already factorized by nag_dsytrf (f07mdc)

f07mhc

7

nag_dsyrfs Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple righthand sides

f07mjc

7

nag_dsytri Inverse of real symmetric indefinite matrix, matrix already factorized by nag_dsytrf (f07mdc)

f07mnc

23

nag_zhesv Computes the solution to a complex Hermitian system of linear equations

f07mpc

23

nag_zhesvx Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations

f07mrc

7

nag_zhetrf BunchKaufman factorization of complex Hermitian indefinite matrix

f07msc

7

nag_zhetrs Solution of complex Hermitian indefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_zhetrf (f07mrc)

f07muc

7

nag_zhecon Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by nag_zhetrf (f07mrc)

f07mvc

7

nag_zherfs Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple righthand sides

f07mwc

7

nag_zhetri Inverse of complex Hermitian indefinite matrix, matrix already factorized by nag_zhetrf (f07mrc)

f07nnc

23

nag_zsysv Computes the solution to a complex symmetric system of linear equations

f07npc

23

nag_zsysvx Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations

f07nrc

7

nag_zsytrf BunchKaufman factorization of complex symmetric matrix

f07nsc

7

nag_zsytrs Solution of complex symmetric system of linear equations, multiple righthand sides, matrix already factorized by nag_zsytrf (f07nrc)

f07nuc

7

nag_zsycon Estimate condition number of complex symmetric matrix, matrix already factorized by nag_zsytrf (f07nrc)

f07nvc

7

nag_zsyrfs Refined solution with error bounds of complex symmetric system of linear equations, multiple righthand sides

f07nwc

7

nag_zsytri Inverse of complex symmetric matrix, matrix already factorized by nag_zsytrf (f07nrc)

f07pac

23

nag_dspsv Computes the solution to a real symmetric system of linear equations, packed storage

f07pbc

23

nag_dspsvx Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage. Error bounds and a condition estimate are also computed.

f07pdc

7

nag_dsptrf BunchKaufman factorization of real symmetric indefinite matrix, packed storage

f07pec

7

nag_dsptrs Solution of real symmetric indefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_dsptrf (f07pdc), packed storage

f07pgc

7

nag_dspcon Estimate condition number of real symmetric indefinite matrix, matrix already factorized by nag_dsptrf (f07pdc), packed storage

f07phc

7

nag_dsprfs Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple righthand sides, packed storage

f07pjc

7

nag_dsptri Inverse of real symmetric indefinite matrix, matrix already factorized by nag_dsptrf (f07pdc), packed storage

f07pnc

23

nag_zhpsv Computes the solution to a complex Hermitian system of linear equations, packed storage

f07ppc

23

nag_zhpsvx Uses the diagonal pivoting factorization to compute the solution to a complex, Hermitian, system of linear equations, error bounds and condition estimates. Packed storage

f07prc

7

nag_zhptrf BunchKaufman factorization of complex Hermitian indefinite matrix, packed storage

f07psc

7

nag_zhptrs Solution of complex Hermitian indefinite system of linear equations, multiple righthand sides, matrix already factorized by nag_zhptrf (f07prc), packed storage

f07puc

7

nag_zhpcon Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by nag_zhptrf (f07prc), packed storage

f07pvc

7

nag_zhprfs Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple righthand sides, packed storage

f07pwc

7

nag_zhptri Inverse of complex Hermitian indefinite matrix, matrix already factorized by nag_zhptrf (f07prc), packed storage

f07qnc

23

nag_zspsv Computes the solution to a complex symmetric system of linear equations, packed storage

f07qpc

23

nag_zspsvx Uses the diagonal pivoting factorization to compute the solution to a complex, symmetric, system of linear equations, error bounds and condition estimates. Packed storage

f07qrc

7

nag_zsptrf BunchKaufman factorization of complex symmetric matrix, packed storage

f07qsc

7

nag_zsptrs Solution of complex symmetric system of linear equations, multiple righthand sides, matrix already factorized by nag_zsptrf (f07qrc), packed storage

f07quc

7

nag_zspcon Estimate condition number of complex symmetric matrix, matrix already factorized by nag_zsptrf (f07qrc), packed storage

f07qvc

7

nag_zsprfs Refined solution with error bounds of complex symmetric system of linear equations, multiple righthand sides, packed storage

f07qwc

7

nag_zsptri Inverse of complex symmetric matrix, matrix already factorized by nag_zsptrf (f07qrc), packed storage

f07tec

7

nag_dtrtrs Solution of real triangular system of linear equations, multiple righthand 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 righthand sides

f07tjc

7

nag_dtrtri Inverse of real triangular matrix

f07tsc

7

nag_ztrtrs Solution of complex triangular system of linear equations, multiple righthand 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 righthand sides

f07twc

7

nag_ztrtri Inverse of complex triangular matrix

f07uec

7

nag_dtptrs Solution of real triangular system of linear equations, multiple righthand 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 righthand 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 righthand 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 righthand 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 righthand 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 righthand sides

f07vsc

7

nag_ztbtrs Solution of complex band triangular system of linear equations, multiple righthand 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 righthand sides

f07wdc

25

nag_dpftrf Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format

f07wec

25

nag_dpftrs Solution of real symmetric positive definite system of linear equations, multiple righthand sides, coefficient matrix already factorized by nag_dpftrf (f07wdc), Rectangular Full Packed format

f07wjc

25

nag_dpftri Inverse of real symmetric positive definite matrix, matrix already factorized by nag_dpftrf (f07wdc), Rectangular Full Packed format

f07wkc

25

nag_dtftri Inverse of real triangular matrix, Rectangular Full Packed format

f07wrc

25

nag_zpftrf Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format

f07wsc

25

nag_zpftrs Solution of complex Hermitian positive definite system of linear equations, multiple righthand sides, coefficient matrix already factorized by nag_zpftrf (f07wrc), Rectangular Full Packed format

f07wwc

25

nag_zpftri Inverse of complex Hermitian positive definite matrix, matrix already factorized by nag_zpftrf (f07wrc), Rectangular Full Packed format

f07wxc

25

nag_ztftri Inverse of complex triangular matrix, Rectangular Full Packed format
