F07 Chapter Contents

f07aa – Computes the solution to a real system of linear equations

f07ab – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations

nag_lapack_dgesvx – f07ab

f07ac – Mixed precision real system solver

nag_lapack_dsgesv – f07ac

f07ad – LU factorization of real m by n matrix

nag_lapack_dgetrf – f07ad

f07ae – Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07ad

nag_lapack_dgetrs – f07ae

f07af – Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number

nag_lapack_dgeequ – f07af

f07ag – Estimate condition number of real matrix, matrix already factorized by f07ad

nag_lapack_dgecon – f07ag

f07ah – Refined solution with error bounds of real system of linear equations, multiple right-hand sides

nag_lapack_dgerfs – f07ah

f07aj – Inverse of real matrix, matrix already factorized by f07ad

nag_lapack_dgetri – f07aj

f07an – Computes the solution to a complex system of linear equations

nag_lapack_zgesv – f07an

f07ap – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations

nag_lapack_zgesvx – f07ap

f07aq – Mixed precision complex system solver

nag_lapack_zcgesv – f07aq

f07ar – LU factorization of complex m by n matrix

nag_lapack_zgetrf – f07ar

f07as – Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07ar

nag_lapack_zgetrs – f07as

f07at – Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number

nag_lapack_zgeequ – f07at

f07au – Estimate condition number of complex matrix, matrix already factorized by f07ar

nag_lapack_zgecon – f07au

f07av – Refined solution with error bounds of complex system of linear equations, multiple right-hand sides

nag_lapack_zgerfs – f07av

f07aw – Inverse of complex matrix, matrix already factorized by f07ar

nag_lapack_zgetri – f07aw

f07ba – Computes the solution to a real banded system of linear equations

nag_lapack_dgbsv – f07ba

f07bb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations

nag_lapack_dgbsvx – f07bb

f07bd – LU factorization of real m by n band matrix

nag_lapack_dgbtrf – f07bd

f07be – Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bd

nag_lapack_dgbtrs – f07be

f07bf – Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number

nag_lapack_dgbequ – f07bf

f07bg – Estimate condition number of real band matrix, matrix already factorized by f07bd

nag_lapack_dgbcon – f07bg

f07bh – Refined solution with error bounds of real band system of linear equations, multiple right-hand sides

nag_lapack_dgbrfs – f07bh

f07bn – Computes the solution to a complex banded system of linear equations

nag_lapack_zgbsv – f07bn

f07bp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations

nag_lapack_zgbsvx – f07bp

f07br – LU factorization of complex m by n band matrix

nag_lapack_zgbtrf – f07br

f07bs – Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07br

nag_lapack_zgbtrs – f07bs

f07bt – Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number

nag_lapack_zgbequ – f07bt

f07bu – Estimate condition number of complex band matrix, matrix already factorized by f07br

nag_lapack_zgbcon – f07bu

f07bv – Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides

nag_lapack_zgbrfs – f07bv

f07ca – Computes the solution to a real tridiagonal system of linear equations

nag_lapack_dgtsv – f07ca

f07cb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations

nag_lapack_dgtsvx – f07cb

f07cd – LU factorization of real tridiagonal matrix

nag_lapack_dgttrf – f07cd

f07ce – Solves a real tridiagonal system of linear equations using the LU factorization computed by f07cd

nag_lapack_dgttrs – f07ce

f07cg – Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by f07cd

nag_lapack_dgtcon – f07cg

f07ch – Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides

nag_lapack_dgtrfs – f07ch

f07cn – Computes the solution to a complex tridiagonal system of linear equations

nag_lapack_zgtsv – f07cn

f07cp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations

nag_lapack_zgtsvx – f07cp

f07cr – LU factorization of complex tridiagonal matrix

nag_lapack_zgttrf – f07cr

f07cs – Solves a complex tridiagonal system of linear equations using the LU factorization computed by f07cd

nag_lapack_zgttrs – f07cs

f07cu – Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by f07cd

nag_lapack_zgtcon – f07cu

f07cv – Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides

nag_lapack_zgtrfs – f07cv

f07fa – Computes the solution to a real symmetric positive definite system of linear equations

nag_lapack_dposv – f07fa

f07fb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations

nag_lapack_dposvx – f07fb

f07fc – Uses the Cholesky factorization to compute the solution for a real symmetric positive definite system of linear equations

nag_lapack_dsposv – f07fc

f07fd – Cholesky factorization of real symmetric positive definite matrix

nag_lapack_dpotrf – f07fd

f07fe – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fd

nag_lapack_dpotrs – f07fe

f07ff – Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number

nag_lapack_dpoequ – f07ff

f07fg – Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fd

nag_lapack_dpocon – f07fg

f07fh – Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides

nag_lapack_dporfs – f07fh

f07fj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07fd

nag_lapack_dpotri – f07fj

f07fn – Computes the solution to a complex Hermitian positive definite system of linear equations

nag_lapack_zposv – f07fn

f07fp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations

nag_lapack_zposvx – f07fp

f07fq – Uses the Cholesky factorization to compute the solution for a complex Hermitian positive definite system of linear equations

nag_lapack_zcposv – f07fq

f07fr – Cholesky factorization of complex Hermitian positive definite matrix

nag_lapack_zpotrf – f07fr

f07fs – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fr

nag_lapack_zpotrs – f07fs

f07ft – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number

nag_lapack_zpoequ – f07ft

f07fu – Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07fr

nag_lapack_zpocon – f07fu

f07fv – Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides

nag_lapack_zporfs – f07fv

f07fw – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07fr

nag_lapack_zpotri – f07fw

f07ga – Computes the solution to a real symmetric positive definite system of linear equations, packed storage

nag_lapack_dppsv – f07ga

f07gb – 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

nag_lapack_dppsvx – f07gb

f07gd – Cholesky factorization of real symmetric positive definite matrix, packed storage

nag_lapack_dpptrf – f07gd

f07ge – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gd, packed storage

nag_lapack_dpptrs – f07ge

f07gf – Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage

nag_lapack_dppequ – f07gf

f07gg – Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gd, packed storage

nag_lapack_dppcon – f07gg

f07gh – Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage

nag_lapack_dpprfs – f07gh

f07gj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07gd, packed storage

nag_lapack_dpptri – f07gj

f07gn – Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage

nag_lapack_zppsv – f07gn

f07gp – 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

nag_lapack_zppsvx – f07gp

f07gr – Cholesky factorization of complex Hermitian positive definite matrix, packed storage

nag_lapack_zpptrf – f07gr

f07gs – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gr, packed storage

nag_lapack_zpptrs – f07gs

f07gt – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage

nag_lapack_zppequ – f07gt

f07gu – Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07gr, packed storage

nag_lapack_zppcon – f07gu

f07gv – Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage

nag_lapack_zpprfs – f07gv

f07gw – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07gr, packed storage

nag_lapack_zpptri – f07gw

f07ha – Computes the solution to a real symmetric positive definite banded system of linear equations

nag_lapack_dpbsv – f07ha

f07hb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations

nag_lapack_dpbsvx – f07hb

f07hd – Cholesky factorization of real symmetric positive definite band matrix

nag_lapack_dpbtrf – f07hd

f07he – Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hd

nag_lapack_dpbtrs – f07he

f07hf – Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number

nag_lapack_dpbequ – f07hf

f07hg – Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hd

nag_lapack_dpbcon – f07hg

f07hh – Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides

nag_lapack_dpbrfs – f07hh

f07hn – Computes the solution to a complex Hermitian positive definite banded system of linear equations

nag_lapack_zpbsv – f07hn

f07hp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations

nag_lapack_zpbsvx – f07hp

f07hr – Cholesky factorization of complex Hermitian positive definite band matrix

nag_lapack_zpbtrf – f07hr

f07hs – Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hr

nag_lapack_zpbtrs – f07hs

f07ht – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number

nag_lapack_zpbequ – f07ht

f07hu – Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hr

nag_lapack_zpbcon – f07hu

f07hv – Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides

nag_lapack_zpbrfs – f07hv

f07ja – Computes the solution to a real symmetric positive definite tridiagonal system of linear equations

nag_lapack_dptsv – f07ja

f07jb – 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

nag_lapack_dptsvx – f07jb

f07jd – Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix

nag_lapack_dpttrf – f07jd

f07je – Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jd

nag_lapack_dpttrs – f07je

f07jg – Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jd

nag_lapack_dptcon – f07jg

f07jh – Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides

nag_lapack_dptrfs – f07jh

f07jn – Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations

nag_lapack_zptsv – f07jn

f07jp – 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

nag_lapack_zptsvx – f07jp

f07jr – Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix

nag_lapack_zpttrf – f07jr

f07js – Solves a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by f07jr

nag_lapack_zpttrs – f07js

f07ju – Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by f07jr

nag_lapack_zptcon – f07ju

f07jv – Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides

nag_lapack_zptrfs – f07jv

f07kd – Cholesky factorization of real symmetric positive semidefinite matrix

nag_lapack_dpstrf – f07kd

f07kr – Cholesky factorization of complex Hermitian positive semidefinite matrix

nag_lapack_zpstrf – f07kr

f07ma – Computes the solution to a real symmetric system of linear equations

nag_lapack_dsysv – f07ma

f07mb – Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations

nag_lapack_dsysvx – f07mb

f07md – Bunch–Kaufman factorization of real symmetric indefinite matrix

nag_lapack_dsytrf – f07md

f07me – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07md

nag_lapack_dsytrs – f07me

f07mg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07md

nag_lapack_dsycon – f07mg

f07mh – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides

nag_lapack_dsyrfs – f07mh

f07mj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07md

nag_lapack_dsytri – f07mj

f07mn – Computes the solution to a complex Hermitian system of linear equations

nag_lapack_zhesv – f07mn

f07mp – Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations

nag_lapack_zhesvx – f07mp

f07mr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix

nag_lapack_zhetrf – f07mr

f07ms – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mr

nag_lapack_zhetrs – f07ms

f07mu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mr

nag_lapack_zhecon – f07mu

f07mv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides

nag_lapack_zherfs – f07mv

f07mw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mr

nag_lapack_zhetri – f07mw

f07nn – Computes the solution to a complex symmetric system of linear equations

nag_lapack_zsysv – f07nn

f07np – Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations

nag_lapack_zsysvx – f07np

f07nr – Bunch–Kaufman factorization of complex symmetric matrix

nag_lapack_zsytrf – f07nr

f07ns – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nr

nag_lapack_zsytrs – f07ns

f07nu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07nr

nag_lapack_zsycon – f07nu

f07nv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides

nag_lapack_zsyrfs – f07nv

f07nw – Inverse of complex symmetric matrix, matrix already factorized by f07nr

nag_lapack_zsytri – f07nw

f07pa – Computes the solution to a real symmetric system of linear equations, packed storage

nag_lapack_dspsv – f07pa

f07pb – Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage

nag_lapack_dspsvx – f07pb

f07pd – Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage

nag_lapack_dsptrf – f07pd

f07pe – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pd, packed storage

nag_lapack_dsptrs – f07pe

f07pg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage

nag_lapack_dspcon – f07pg

f07ph – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage

nag_lapack_dsprfs – f07ph

f07pj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage

nag_lapack_dsptri – f07pj

f07pn – Computes the solution to a complex Hermitian system of linear equations, packed storage

nag_lapack_zhpsv – f07pn

f07pp – Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage

nag_lapack_zhpsvx – f07pp

f07pr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage

nag_lapack_zhptrf – f07pr

f07ps – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pr, packed storage

nag_lapack_zhptrs – f07ps

f07pu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage

nag_lapack_zhpcon – f07pu

f07pv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage

nag_lapack_zhprfs – f07pv

f07pw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage

nag_lapack_zhptri – f07pw

f07qn – Computes the solution to a complex symmetric system of linear equations, packed storage

nag_lapack_zspsv – f07qn

f07qp – Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage

nag_lapack_zspsvx – f07qp

f07qr – Bunch–Kaufman factorization of complex symmetric matrix, packed storage

nag_lapack_zsptrf – f07qr

f07qs – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qr, packed storage

nag_lapack_zsptrs – f07qs

f07qu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07qr, packed storage

nag_lapack_zspcon – f07qu

f07qv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage

nag_lapack_zsprfs – f07qv

f07qw – Inverse of complex symmetric matrix, matrix already factorized by f07qr, packed storage

nag_lapack_zsptri – f07qw

f07te – Solution of real triangular system of linear equations, multiple right-hand sides

nag_lapack_dtrtrs – f07te

f07tg – Estimate condition number of real triangular matrix

nag_lapack_dtrcon – f07tg

f07th – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides

nag_lapack_dtrrfs – f07th

f07tj – Inverse of real triangular matrix

nag_lapack_dtrtri – f07tj

f07ts – Solution of complex triangular system of linear equations, multiple right-hand sides

nag_lapack_ztrtrs – f07ts

f07tu – Estimate condition number of complex triangular matrix

nag_lapack_ztrcon – f07tu

f07tv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides

nag_lapack_ztrrfs – f07tv

f07tw – Inverse of complex triangular matrix

nag_lapack_ztrtri – f07tw

f07ue – Solution of real triangular system of linear equations, multiple right-hand sides, packed storage

nag_lapack_dtptrs – f07ue

f07ug – Estimate condition number of real triangular matrix, packed storage

nag_lapack_dtpcon – f07ug

f07uh – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage

nag_lapack_dtprfs – f07uh

f07uj – Inverse of real triangular matrix, packed storage

nag_lapack_dtptri – f07uj

f07us – Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage

nag_lapack_ztptrs – f07us

f07uu – Estimate condition number of complex triangular matrix, packed storage

nag_lapack_ztpcon – f07uu

f07uv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage

nag_lapack_ztprfs – f07uv

f07uw – Inverse of complex triangular matrix, packed storage

nag_lapack_ztptri – f07uw

f07ve – Solution of real band triangular system of linear equations, multiple right-hand sides

nag_lapack_dtbtrs – f07ve

f07vg – Estimate condition number of real band triangular matrix

nag_lapack_dtbcon – f07vg

f07vh – Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides

nag_lapack_dtbrfs – f07vh

f07vs – Solution of complex band triangular system of linear equations, multiple right-hand sides

nag_lapack_ztbtrs – f07vs

f07vu – Estimate condition number of complex band triangular matrix

nag_lapack_ztbcon – f07vu

f07vv – Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides

nag_lapack_ztbrfs – f07vv

f07wd – Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format

nag_lapack_dpftrf – f07wd

f07we – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wd, Rectangular Full Packed format

nag_lapack_dpftrs – f07we

f07wj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07wd, Rectangular Full Packed format

nag_lapack_dpftri – f07wj

f07wk – Inverse of real triangular matrix, Rectangular Full Packed format, expert driver

nag_lapack_dtftri – f07wk

f07wr – Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format

nag_lapack_zpftrf – f07wr

f07ws – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wr, Rectangular Full Packed format

nag_lapack_zpftrs – f07ws

f07ww – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07wr, Rectangular Full Packed format

nag_lapack_zpftri – f07ww

f07wx – Inverse of complex triangular matrix, Rectangular Full Packed format

nag_lapack_ztftri – f07wx

F07 – Linear Equations (LAPACK)