f07 Chapter Contents (PDF version)
f07 Chapter Introduction
NAG C Library Manual

NAG Library Chapter Contents

f07 – Linear Equations (LAPACK)

f07 Chapter Introduction

Function
Name
Mark of
Introduction

Purpose
f07adc
Example Text
Example Data
7 nag_dgetrf
LU factorization of realm 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
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)
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
LU factorization of realm 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
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)
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 Chapter Contents (PDF version)
f07 Chapter Introduction
NAG C Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2009