NAG Library Chapter Contents

F07 (lapack)
Linear Equations (LAPACK)


F07 (lapack) Chapter Introduction – a description of the Chapter and an overview of the algorithms available

Routine
Name
Mark of
Introduction

Purpose
f07aaf (dgesv)
Example Text
Example Data
21 DGESV
nagf_lapack_dgesv
Computes the solution to a real system of linear equations
f07abf (dgesvx)
Example Text
Example Data
21 DGESVX
nagf_lapack_dgesvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
f07acf (dsgesv)
Example Text
Example Data
22 DSGESV
nagf_lapack_dsgesv
Computes the solution to a real system of linear equations using mixed precision arithmetic
f07adf (dgetrf)
Example Text
Example Data
15 DGETRF
nagf_lapack_dgetrf
LU factorization of real m by n matrix
f07aef (dgetrs)
Example Text
Example Data
15 DGETRS
nagf_lapack_dgetrs
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07adf (dgetrf)
f07aff (dgeequ)
Example Text
Example Data
22 DGEEQU
nagf_lapack_dgeequ
Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number
f07agf (dgecon)
Example Text
Example Data
15 DGECON
nagf_lapack_dgecon
Estimate condition number of real matrix, matrix already factorized by f07adf (dgetrf)
f07ahf (dgerfs)
Example Text
Example Data
15 DGERFS
nagf_lapack_dgerfs
Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f07ajf (dgetri)
Example Text
Example Data
15 DGETRI
nagf_lapack_dgetri
Inverse of real matrix, matrix already factorized by f07adf (dgetrf)
f07anf (zgesv)
Example Text
Example Data
21 ZGESV
nagf_lapack_zgesv
Computes the solution to a complex system of linear equations
f07apf (zgesvx)
Example Text
Example Data
21 ZGESVX
nagf_lapack_zgesvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
f07aqf (zcgesv)
Example Text
Example Data
22 ZCGESV
nagf_lapack_zcgesv
Computes the solution to a complex system of linear equations using mixed precision arithmetic
f07arf (zgetrf)
Example Text
Example Data
15 ZGETRF
nagf_lapack_zgetrf
LU factorization of complex m by n matrix
f07asf (zgetrs)
Example Text
Example Data
15 ZGETRS
nagf_lapack_zgetrs
Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07arf (zgetrf)
f07atf (zgeequ)
Example Text
Example Data
22 ZGEEQU
nagf_lapack_zgeequ
Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
f07auf (zgecon)
Example Text
Example Data
15 ZGECON
nagf_lapack_zgecon
Estimate condition number of complex matrix, matrix already factorized by f07arf (zgetrf)
f07avf (zgerfs)
Example Text
Example Data
15 ZGERFS
nagf_lapack_zgerfs
Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
f07awf (zgetri)
Example Text
Example Data
15 ZGETRI
nagf_lapack_zgetri
Inverse of complex matrix, matrix already factorized by f07arf (zgetrf)
f07baf (dgbsv)
Example Text
Example Data
21 DGBSV
nagf_lapack_dgbsv
Computes the solution to a real banded system of linear equations
f07bbf (dgbsvx)
Example Text
Example Data
21 DGBSVX
nagf_lapack_dgbsvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
f07bdf (dgbtrf)
Example Text
Example Data
15 DGBTRF
nagf_lapack_dgbtrf
LU factorization of real m by n band matrix
f07bef (dgbtrs)
Example Text
Example Data
15 DGBTRS
nagf_lapack_dgbtrs
Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bdf (dgbtrf)
f07bff (dgbequ)
Example Text
Example Data
22 DGBEQU
nagf_lapack_dgbequ
Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
f07bgf (dgbcon)
Example Text
Example Data
15 DGBCON
nagf_lapack_dgbcon
Estimate condition number of real band matrix, matrix already factorized by f07bdf (dgbtrf)
f07bhf (dgbrfs)
Example Text
Example Data
15 DGBRFS
nagf_lapack_dgbrfs
Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
f07bnf (zgbsv)
Example Text
Example Data
21 ZGBSV
nagf_lapack_zgbsv
Computes the solution to a complex banded system of linear equations
f07bpf (zgbsvx)
Example Text
Example Data
21 ZGBSVX
nagf_lapack_zgbsvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
f07brf (zgbtrf)
Example Text
Example Data
15 ZGBTRF
nagf_lapack_zgbtrf
LU factorization of complex m by n band matrix
f07bsf (zgbtrs)
Example Text
Example Data
15 ZGBTRS
nagf_lapack_zgbtrs
Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07brf (zgbtrf)
f07btf (zgbequ)
Example Text
Example Data
22 ZGBEQU
nagf_lapack_zgbequ
Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
f07buf (zgbcon)
Example Text
Example Data
15 ZGBCON
nagf_lapack_zgbcon
Estimate condition number of complex band matrix, matrix already factorized by f07brf (zgbtrf)
f07bvf (zgbrfs)
Example Text
Example Data
15 ZGBRFS
nagf_lapack_zgbrfs
Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
f07caf (dgtsv)
Example Text
Example Data
21 DGTSV
nagf_lapack_dgtsv
Computes the solution to a real tridiagonal system of linear equations
f07cbf (dgtsvx)
Example Text
Example Data
21 DGTSVX
nagf_lapack_dgtsvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
f07cdf (dgttrf)
Example Text
Example Data
22 DGTTRF
nagf_lapack_dgttrf
LU factorization of real tridiagonal matrix
f07cef (dgttrs)
Example Text
Example Data
22 DGTTRS
nagf_lapack_dgttrs
Solves a real tridiagonal system of linear equations using the LU factorization computed by f07cdf (dgttrf)
f07cgf (dgtcon)
Example Text
Example Data
22 DGTCON
nagf_lapack_dgtcon
Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by f07cdf (dgttrf)
f07chf (dgtrfs)
Example Text
Example Data
22 DGTRFS
nagf_lapack_dgtrfs
Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
f07cnf (zgtsv)
Example Text
Example Data
21 ZGTSV
nagf_lapack_zgtsv
Computes the solution to a complex tridiagonal system of linear equations
f07cpf (zgtsvx)
Example Text
Example Data
21 ZGTSVX
nagf_lapack_zgtsvx
Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
f07crf (zgttrf)
Example Text
Example Data
22 ZGTTRF
nagf_lapack_zgttrf
LU factorization of complex tridiagonal matrix
f07csf (zgttrs)
Example Text
Example Data
22 ZGTTRS
nagf_lapack_zgttrs
Solves a complex tridiagonal system of linear equations using the LU factorization computed by f07cdf (dgttrf)
f07cuf (zgtcon)
Example Text
Example Data
22 ZGTCON
nagf_lapack_zgtcon
Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by f07cdf (dgttrf)
f07cvf (zgtrfs)
Example Text
Example Data
22 ZGTRFS
nagf_lapack_zgtrfs
Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
f07faf (dposv)
Example Text
Example Data
21 DPOSV
nagf_lapack_dposv
Computes the solution to a real symmetric positive definite system of linear equations
f07fbf (dposvx)
Example Text
Example Data
21 DPOSVX
nagf_lapack_dposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
f07fcf (dsposv)
Example Text
Example Data
23 DSPOSV
nagf_lapack_dsposv
Computes the solution to a real symmetric positive definite system of linear equations using mixed precision arithmetic
f07fdf (dpotrf)
Example Text
Example Data
15 DPOTRF
nagf_lapack_dpotrf
Cholesky factorization of real symmetric positive definite matrix
f07fef (dpotrs)
Example Text
Example Data
15 DPOTRS
nagf_lapack_dpotrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdf (dpotrf)
f07fff (dpoequ)
Example Text
Example Data
22 DPOEQU
nagf_lapack_dpoequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number
f07fgf (dpocon)
Example Text
Example Data
15 DPOCON
nagf_lapack_dpocon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdf (dpotrf)
f07fhf (dporfs)
Example Text
Example Data
15 DPORFS
nagf_lapack_dporfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
f07fjf (dpotri)
Example Text
Example Data
15 DPOTRI
nagf_lapack_dpotri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdf (dpotrf)
f07fnf (zposv)
Example Text
Example Data
21 ZPOSV
nagf_lapack_zposv
Computes the solution to a complex Hermitian positive definite system of linear equations
f07fpf (zposvx)
Example Text
Example Data
21 ZPOSVX
nagf_lapack_zposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
f07fqf (zcposv)
Example Text
Example Data
23 ZCPOSV
nagf_lapack_zcposv
Computes the solution to a complex Hermitian positive definite system of linear equations using mixed precision arithmetic
f07frf (zpotrf)
Example Text
Example Data
15 ZPOTRF
nagf_lapack_zpotrf
Cholesky factorization of complex Hermitian positive definite matrix
f07fsf (zpotrs)
Example Text
Example Data
15 ZPOTRS
nagf_lapack_zpotrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07frf (zpotrf)
f07ftf (zpoequ)
Example Text
Example Data
22 ZPOEQU
nagf_lapack_zpoequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
f07fuf (zpocon)
Example Text
Example Data
15 ZPOCON
nagf_lapack_zpocon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07frf (zpotrf)
f07fvf (zporfs)
Example Text
Example Data
15 ZPORFS
nagf_lapack_zporfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
f07fwf (zpotri)
Example Text
Example Data
15 ZPOTRI
nagf_lapack_zpotri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07frf (zpotrf)
f07gaf (dppsv)
Example Text
Example Data
21 DPPSV
nagf_lapack_dppsv
Computes the solution to a real symmetric positive definite system of linear equations, packed storage
f07gbf (dppsvx)
Example Text
Example Data
21 DPPSVX
nagf_lapack_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
f07gdf (dpptrf)
Example Text
Example Data
15 DPPTRF
nagf_lapack_dpptrf
Cholesky factorization of real symmetric positive definite matrix, packed storage
f07gef (dpptrs)
Example Text
Example Data
15 DPPTRS
nagf_lapack_dpptrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdf (dpptrf), packed storage
f07gff (dppequ)
Example Text
Example Data
22 DPPEQU
nagf_lapack_dppequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage
f07ggf (dppcon)
Example Text
Example Data
15 DPPCON
nagf_lapack_dppcon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdf (dpptrf), packed storage
f07ghf (dpprfs)
Example Text
Example Data
15 DPPRFS
nagf_lapack_dpprfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
f07gjf (dpptri)
Example Text
Example Data
15 DPPTRI
nagf_lapack_dpptri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdf (dpptrf), packed storage
f07gnf (zppsv)
Example Text
Example Data
21 ZPPSV
nagf_lapack_zppsv
Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
f07gpf (zppsvx)
Example Text
Example Data
21 ZPPSVX
nagf_lapack_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
f07grf (zpptrf)
Example Text
Example Data
15 ZPPTRF
nagf_lapack_zpptrf
Cholesky factorization of complex Hermitian positive definite matrix, packed storage
f07gsf (zpptrs)
Example Text
Example Data
15 ZPPTRS
nagf_lapack_zpptrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07grf (zpptrf), packed storage
f07gtf (zppequ)
Example Text
Example Data
22 ZPPEQU
nagf_lapack_zppequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
f07guf (zppcon)
Example Text
Example Data
15 ZPPCON
nagf_lapack_zppcon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07grf (zpptrf), packed storage
f07gvf (zpprfs)
Example Text
Example Data
15 ZPPRFS
nagf_lapack_zpprfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
f07gwf (zpptri)
Example Text
Example Data
15 ZPPTRI
nagf_lapack_zpptri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07grf (zpptrf), packed storage
f07haf (dpbsv)
Example Text
Example Data
21 DPBSV
nagf_lapack_dpbsv
Computes the solution to a real symmetric positive definite banded system of linear equations
f07hbf (dpbsvx)
Example Text
Example Data
21 DPBSVX
nagf_lapack_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
f07hdf (dpbtrf)
Example Text
Example Data
15 DPBTRF
nagf_lapack_dpbtrf
Cholesky factorization of real symmetric positive definite band matrix
f07hef (dpbtrs)
Example Text
Example Data
15 DPBTRS
nagf_lapack_dpbtrs
Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdf (dpbtrf)
f07hff (dpbequ)
Example Text
Example Data
22 DPBEQU
nagf_lapack_dpbequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
f07hgf (dpbcon)
Example Text
Example Data
15 DPBCON
nagf_lapack_dpbcon
Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdf (dpbtrf)
f07hhf (dpbrfs)
Example Text
Example Data
15 DPBRFS
nagf_lapack_dpbrfs
Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
f07hnf (zpbsv)
Example Text
Example Data
21 ZPBSV
nagf_lapack_zpbsv
Computes the solution to a complex Hermitian positive definite banded system of linear equations
f07hpf (zpbsvx)
Example Text
Example Data
21 ZPBSVX
nagf_lapack_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
f07hrf (zpbtrf)
Example Text
Example Data
15 ZPBTRF
nagf_lapack_zpbtrf
Cholesky factorization of complex Hermitian positive definite band matrix
f07hsf (zpbtrs)
Example Text
Example Data
15 ZPBTRS
nagf_lapack_zpbtrs
Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hrf (zpbtrf)
f07htf (zpbequ)
Example Text
Example Data
22 ZPBEQU
nagf_lapack_zpbequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
f07huf (zpbcon)
Example Text
Example Data
15 ZPBCON
nagf_lapack_zpbcon
Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hrf (zpbtrf)
f07hvf (zpbrfs)
Example Text
Example Data
15 ZPBRFS
nagf_lapack_zpbrfs
Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
f07jaf (dptsv)
Example Text
Example Data
21 DPTSV
nagf_lapack_dptsv
Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
f07jbf (dptsvx)
Example Text
Example Data
21 DPTSVX
nagf_lapack_dptsvx
Uses the LDLT factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations
f07jdf (dpttrf)
Example Text
Example Data
22 DPTTRF
nagf_lapack_dpttrf
Computes the LDLT factorization of a real symmetric positive definite tridiagonal matrix
f07jef (dpttrs)
Example Text
Example Data
22 DPTTRS
nagf_lapack_dpttrs
Solves a real symmetric positive definite tridiagonal system using the LDLT factorization computed by f07jdf (dpttrf)
f07jgf (dptcon)
Example Text
Example Data
22 DPTCON
nagf_lapack_dptcon
Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the LDLT factorization computed by f07jdf (dpttrf)
f07jhf (dptrfs)
Example Text
Example Data
22 DPTRFS
nagf_lapack_dptrfs
Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
f07jnf (zptsv)
Example Text
Example Data
21 ZPTSV
nagf_lapack_zptsv
Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
f07jpf (zptsvx)
Example Text
Example Data
21 ZPTSVX
nagf_lapack_zptsvx
Uses the LDLT factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations
f07jrf (zpttrf)
Example Text
Example Data
22 ZPTTRF
nagf_lapack_zpttrf
Computes the LDLH factorization of a complex Hermitian positive definite tridiagonal matrix
f07jsf (zpttrs)
Example Text
Example Data
22 ZPTTRS
nagf_lapack_zpttrs
Solves a complex Hermitian positive definite tridiagonal system using the LDLH factorization computed by f07jrf (zpttrf)
f07juf (zptcon)
Example Text
Example Data
22 ZPTCON
nagf_lapack_zptcon
Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the LDLH factorization computed by f07jrf (zpttrf)
f07jvf (zptrfs)
Example Text
Example Data
22 ZPTRFS
nagf_lapack_zptrfs
Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
f07kdf (dpstrf)
Example Text
Example Data
23 DPSTRF
nagf_lapack_dpstrf
Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix
f07krf (zpstrf)
Example Text
Example Data
23 ZPSTRF
nagf_lapack_zpstrf
Cholesky factorization of complex Hermitian positive semidefinite matrix
f07maf (dsysv)
Example Text
Example Data
21 DSYSV
nagf_lapack_dsysv
Computes the solution to a real symmetric system of linear equations
f07mbf (dsysvx)
Example Text
Example Data
21 DSYSVX
nagf_lapack_dsysvx
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
f07mdf (dsytrf)
Example Text
Example Data
15 DSYTRF
nagf_lapack_dsytrf
Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mef (dsytrs)
Example Text
Example Data
15 DSYTRS
nagf_lapack_dsytrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdf (dsytrf)
f07mgf (dsycon)
Example Text
Example Data
15 DSYCON
nagf_lapack_dsycon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdf (dsytrf)
f07mhf (dsyrfs)
Example Text
Example Data
15 DSYRFS
nagf_lapack_dsyrfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
f07mjf (dsytri)
Example Text
Example Data
15 DSYTRI
nagf_lapack_dsytri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdf (dsytrf)
f07mnf (zhesv)
Example Text
Example Data
21 ZHESV
nagf_lapack_zhesv
Computes the solution to a complex Hermitian system of linear equations
f07mpf (zhesvx)
Example Text
Example Data
21 ZHESVX
nagf_lapack_zhesvx
Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
f07mrf (zhetrf)
Example Text
Example Data
15 ZHETRF
nagf_lapack_zhetrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix
f07msf (zhetrs)
Example Text
Example Data
15 ZHETRS
nagf_lapack_zhetrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mrf (zhetrf)
f07muf (zhecon)
Example Text
Example Data
15 ZHECON
nagf_lapack_zhecon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrf (zhetrf)
f07mvf (zherfs)
Example Text
Example Data
15 ZHERFS
nagf_lapack_zherfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
f07mwf (zhetri)
Example Text
Example Data
15 ZHETRI
nagf_lapack_zhetri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mrf (zhetrf)
f07nnf (zsysv)
Example Text
Example Data
21 ZSYSV
nagf_lapack_zsysv
Computes the solution to a complex symmetric system of linear equations
f07npf (zsysvx)
Example Text
Example Data
21 ZSYSVX
nagf_lapack_zsysvx
Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
f07nrf (zsytrf)
Example Text
Example Data
15 ZSYTRF
nagf_lapack_zsytrf
Bunch–Kaufman factorization of complex symmetric matrix
f07nsf (zsytrs)
Example Text
Example Data
15 ZSYTRS
nagf_lapack_zsytrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrf (zsytrf)
f07nuf (zsycon)
Example Text
Example Data
15 ZSYCON
nagf_lapack_zsycon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrf (zsytrf)
f07nvf (zsyrfs)
Example Text
Example Data
15 ZSYRFS
nagf_lapack_zsyrfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
f07nwf (zsytri)
Example Text
Example Data
15 ZSYTRI
nagf_lapack_zsytri
Inverse of complex symmetric matrix, matrix already factorized by f07nrf (zsytrf)
f07paf (dspsv)
Example Text
Example Data
21 DSPSV
nagf_lapack_dspsv
Computes the solution to a real symmetric system of linear equations, packed storage
f07pbf (dspsvx)
Example Text
Example Data
21 DSPSVX
nagf_lapack_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
f07pdf (dsptrf)
Example Text
Example Data
15 DSPTRF
nagf_lapack_dsptrf
Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pef (dsptrs)
Example Text
Example Data
15 DSPTRS
nagf_lapack_dsptrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdf (dsptrf), packed storage
f07pgf (dspcon)
Example Text
Example Data
15 DSPCON
nagf_lapack_dspcon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdf (dsptrf), packed storage
f07phf (dsprfs)
Example Text
Example Data
15 DSPRFS
nagf_lapack_dsprfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
f07pjf (dsptri)
Example Text
Example Data
15 DSPTRI
nagf_lapack_dsptri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdf (dsptrf), packed storage
f07pnf (zhpsv)
Example Text
Example Data
21 ZHPSV
nagf_lapack_zhpsv
Computes the solution to a complex Hermitian system of linear equations, packed storage
f07ppf (zhpsvx)
Example Text
Example Data
21 ZHPSVX
nagf_lapack_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
f07prf (zhptrf)
Example Text
Example Data
15 ZHPTRF
nagf_lapack_zhptrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
f07psf (zhptrs)
Example Text
Example Data
15 ZHPTRS
nagf_lapack_zhptrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07prf (zhptrf), packed storage
f07puf (zhpcon)
Example Text
Example Data
15 ZHPCON
nagf_lapack_zhpcon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07prf (zhptrf), packed storage
f07pvf (zhprfs)
Example Text
Example Data
15 ZHPRFS
nagf_lapack_zhprfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
f07pwf (zhptri)
Example Text
Example Data
15 ZHPTRI
nagf_lapack_zhptri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07prf (zhptrf), packed storage
f07qnf (zspsv)
Example Text
Example Data
21 ZSPSV
nagf_lapack_zspsv
Computes the solution to a complex symmetric system of linear equations, packed storage
f07qpf (zspsvx)
Example Text
Example Data
21 ZSPSVX
nagf_lapack_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
f07qrf (zsptrf)
Example Text
Example Data
15 ZSPTRF
nagf_lapack_zsptrf
Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsf (zsptrs)
Example Text
Example Data
15 ZSPTRS
nagf_lapack_zsptrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrf (zsptrf), packed storage
f07quf (zspcon)
Example Text
Example Data
15 ZSPCON
nagf_lapack_zspcon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrf (zsptrf), packed storage
f07qvf (zsprfs)
Example Text
Example Data
15 ZSPRFS
nagf_lapack_zsprfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
f07qwf (zsptri)
Example Text
Example Data
15 ZSPTRI
nagf_lapack_zsptri
Inverse of complex symmetric matrix, matrix already factorized by f07qrf (zsptrf), packed storage
f07tef (dtrtrs)
Example Text
Example Data
15 DTRTRS
nagf_lapack_dtrtrs
Solution of real triangular system of linear equations, multiple right-hand sides
f07tgf (dtrcon)
Example Text
Example Data
15 DTRCON
nagf_lapack_dtrcon
Estimate condition number of real triangular matrix
f07thf (dtrrfs)
Example Text
Example Data
15 DTRRFS
nagf_lapack_dtrrfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
f07tjf (dtrtri)
Example Text
Example Data
15 DTRTRI
nagf_lapack_dtrtri
Inverse of real triangular matrix
f07tsf (ztrtrs)
Example Text
Example Data
15 ZTRTRS
nagf_lapack_ztrtrs
Solution of complex triangular system of linear equations, multiple right-hand sides
f07tuf (ztrcon)
Example Text
Example Data
15 ZTRCON
nagf_lapack_ztrcon
Estimate condition number of complex triangular matrix
f07tvf (ztrrfs)
Example Text
Example Data
15 ZTRRFS
nagf_lapack_ztrrfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
f07twf (ztrtri)
Example Text
Example Data
15 ZTRTRI
nagf_lapack_ztrtri
Inverse of complex triangular matrix
f07uef (dtptrs)
Example Text
Example Data
15 DTPTRS
nagf_lapack_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ugf (dtpcon)
Example Text
Example Data
15 DTPCON
nagf_lapack_dtpcon
Estimate condition number of real triangular matrix, packed storage
f07uhf (dtprfs)
Example Text
Example Data
15 DTPRFS
nagf_lapack_dtprfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ujf (dtptri)
Example Text
Example Data
15 DTPTRI
nagf_lapack_dtptri
Inverse of real triangular matrix, packed storage
f07usf (ztptrs)
Example Text
Example Data
15 ZTPTRS
nagf_lapack_ztptrs
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uuf (ztpcon)
Example Text
Example Data
15 ZTPCON
nagf_lapack_ztpcon
Estimate condition number of complex triangular matrix, packed storage
f07uvf (ztprfs)
Example Text
Example Data
15 ZTPRFS
nagf_lapack_ztprfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uwf (ztptri)
Example Text
Example Data
15 ZTPTRI
nagf_lapack_ztptri
Inverse of complex triangular matrix, packed storage
f07vef (dtbtrs)
Example Text
Example Data
15 DTBTRS
nagf_lapack_dtbtrs
Solution of real band triangular system of linear equations, multiple right-hand sides
f07vgf (dtbcon)
Example Text
Example Data
15 DTBCON
nagf_lapack_dtbcon
Estimate condition number of real band triangular matrix
f07vhf (dtbrfs)
Example Text
Example Data
15 DTBRFS
nagf_lapack_dtbrfs
Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
f07vsf (ztbtrs)
Example Text
Example Data
15 ZTBTRS
nagf_lapack_ztbtrs
Solution of complex band triangular system of linear equations, multiple right-hand sides
f07vuf (ztbcon)
Example Text
Example Data
15 ZTBCON
nagf_lapack_ztbcon
Estimate condition number of complex band triangular matrix
f07vvf (ztbrfs)
Example Text
Example Data
15 ZTBRFS
nagf_lapack_ztbrfs
Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
f07wdf (dpftrf)
Example Text
Example Data
23 DPFTRF
nagf_lapack_dpftrf
Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
f07wef (dpftrs)
Example Text
Example Data
23 DPFTRS
nagf_lapack_dpftrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wdf (dpftrf), Rectangular Full Packed format
f07wjf (dpftri)
Example Text
Example Data
23 DPFTRI
nagf_lapack_dpftri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07wdf (dpftrf), Rectangular Full Packed format
f07wkf (dtftri)
Example Text
Example Data
23 DTFTRI
nagf_lapack_dtftri
Inverse of real triangular matrix, Rectangular Full Packed format
f07wrf (zpftrf)
Example Text
Example Data
23 ZPFTRF
nagf_lapack_zpftrf
Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
f07wsf (zpftrs)
Example Text
Example Data
23 ZPFTRS
nagf_lapack_zpftrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wrf (zpftrf), Rectangular Full Packed format
f07wwf (zpftri)
Example Text
Example Data
23 ZPFTRI
nagf_lapack_zpftri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07wrf (zpftrf), Rectangular Full Packed format
f07wxf (ztftri)
Example Text
Example Data
23 ZTFTRI
nagf_lapack_ztftri
Inverse of complex triangular matrix, Rectangular Full Packed format
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017