NAG Library Chapter Contents

F07 (lapacklin)
Linear Equations (LAPACK)


F07 (lapacklin) 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_lapacklin_dgesv
Computes the solution to a real system of linear equations
f07abf (dgesvx)
Example Text
Example Data
21 dgesvx
nagf_lapacklin_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_lapacklin_dsgesv
Computes the solution to a real system of linear equations using mixed precision arithmetic
f07adf (dgetrf)
Example Text
Example Data
15 dgetrf
nagf_lapacklin_dgetrf
LU factorization of real m by n matrix
f07aef (dgetrs)
Example Text
Example Data
15 dgetrs
nagf_lapacklin_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_lapacklin_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_lapacklin_dgecon
Estimate condition number of real matrix, matrix already factorized by f07adf (dgetrf)
f07ahf (dgerfs)
Example Text
Example Data
15 dgerfs
nagf_lapacklin_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_lapacklin_dgetri
Inverse of real matrix, matrix already factorized by f07adf (dgetrf)
f07anf (zgesv)
Example Text
Example Data
21 zgesv
nagf_lapacklin_zgesv
Computes the solution to a complex system of linear equations
f07apf (zgesvx)
Example Text
Example Data
21 zgesvx
nagf_lapacklin_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_lapacklin_zcgesv
Computes the solution to a complex system of linear equations using mixed precision arithmetic
f07arf (zgetrf)
Example Text
Example Data
15 zgetrf
nagf_lapacklin_zgetrf
LU factorization of complex m by n matrix
f07asf (zgetrs)
Example Text
Example Data
15 zgetrs
nagf_lapacklin_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_lapacklin_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_lapacklin_zgecon
Estimate condition number of complex matrix, matrix already factorized by f07arf (zgetrf)
f07avf (zgerfs)
Example Text
Example Data
15 zgerfs
nagf_lapacklin_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_lapacklin_zgetri
Inverse of complex matrix, matrix already factorized by f07arf (zgetrf)
f07baf (dgbsv)
Example Text
Example Data
21 dgbsv
nagf_lapacklin_dgbsv
Computes the solution to a real banded system of linear equations
f07bbf (dgbsvx)
Example Text
Example Data
21 dgbsvx
nagf_lapacklin_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_lapacklin_dgbtrf
LU factorization of real m by n band matrix
f07bef (dgbtrs)
Example Text
Example Data
15 dgbtrs
nagf_lapacklin_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_lapacklin_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_lapacklin_dgbcon
Estimate condition number of real band matrix, matrix already factorized by f07bdf (dgbtrf)
f07bhf (dgbrfs)
Example Text
Example Data
15 dgbrfs
nagf_lapacklin_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_lapacklin_zgbsv
Computes the solution to a complex banded system of linear equations
f07bpf (zgbsvx)
Example Text
Example Data
21 zgbsvx
nagf_lapacklin_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_lapacklin_zgbtrf
LU factorization of complex m by n band matrix
f07bsf (zgbtrs)
Example Text
Example Data
15 zgbtrs
nagf_lapacklin_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_lapacklin_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_lapacklin_zgbcon
Estimate condition number of complex band matrix, matrix already factorized by f07brf (zgbtrf)
f07bvf (zgbrfs)
Example Text
Example Data
15 zgbrfs
nagf_lapacklin_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_lapacklin_dgtsv
Computes the solution to a real tridiagonal system of linear equations
f07cbf (dgtsvx)
Example Text
Example Data
21 dgtsvx
nagf_lapacklin_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_lapacklin_dgttrf
LU factorization of real tridiagonal matrix
f07cef (dgttrs)
Example Text
Example Data
22 dgttrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zgtsv
Computes the solution to a complex tridiagonal system of linear equations
f07cpf (zgtsvx)
Example Text
Example Data
21 zgtsvx
nagf_lapacklin_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_lapacklin_zgttrf
LU factorization of complex tridiagonal matrix
f07csf (zgttrs)
Example Text
Example Data
22 zgttrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dposv
Computes the solution to a real symmetric positive definite system of linear equations
f07fbf (dposvx)
Example Text
Example Data
21 dposvx
nagf_lapacklin_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_lapacklin_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_lapacklin_dpotrf
Cholesky factorization of real symmetric positive definite matrix
f07fef (dpotrs)
Example Text
Example Data
15 dpotrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dpotri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdf (dpotrf)
f07fnf (zposv)
Example Text
Example Data
21 zposv
nagf_lapacklin_zposv
Computes the solution to a complex Hermitian positive definite system of linear equations
f07fpf (zposvx)
Example Text
Example Data
21 zposvx
nagf_lapacklin_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_lapacklin_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_lapacklin_zpotrf
Cholesky factorization of complex Hermitian positive definite matrix
f07fsf (zpotrs)
Example Text
Example Data
15 zpotrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zpotri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07frf (zpotrf)
f07gaf (dppsv)
Example Text
Example Data
21 dppsv
nagf_lapacklin_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_lapacklin_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_lapacklin_dpptrf
Cholesky factorization of real symmetric positive definite matrix, packed storage
f07gef (dpptrs)
Example Text
Example Data
15 dpptrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zpptrf
Cholesky factorization of complex Hermitian positive definite matrix, packed storage
f07gsf (zpptrs)
Example Text
Example Data
15 zpptrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dpbsv
Computes the solution to a real symmetric positive definite banded system of linear equations
f07hbf (dpbsvx)
Example Text
Example Data
21 dpbsvx
nagf_lapacklin_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_lapacklin_dpbtrf
Cholesky factorization of real symmetric positive definite band matrix
f07hef (dpbtrs)
Example Text
Example Data
15 dpbtrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zpbsv
Computes the solution to a complex Hermitian positive definite banded system of linear equations
f07hpf (zpbsvx)
Example Text
Example Data
21 zpbsvx
nagf_lapacklin_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_lapacklin_zpbtrf
Cholesky factorization of complex Hermitian positive definite band matrix
f07hsf (zpbtrs)
Example Text
Example Data
15 zpbtrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dptsv
Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
f07jbf (dptsvx)
Example Text
Example Data
21 dptsvx
nagf_lapacklin_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_lapacklin_dpttrf
Computes the LDLT factorization of a real symmetric positive definite tridiagonal matrix
f07jef (dpttrs)
Example Text
Example Data
22 dpttrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zptsv
Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
f07jpf (zptsvx)
Example Text
Example Data
21 zptsvx
nagf_lapacklin_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_lapacklin_zpttrf
Computes the LDLH factorization of a complex Hermitian positive definite tridiagonal matrix
f07jsf (zpttrs)
Example Text
Example Data
22 zpttrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dpstrf
Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix
f07krf (zpstrf)
Example Text
Example Data
23 zpstrf
nagf_lapacklin_zpstrf
Cholesky factorization of complex Hermitian positive semidefinite matrix
f07maf (dsysv)
Example Text
Example Data
21 dsysv
nagf_lapacklin_dsysv
Computes the solution to a real symmetric system of linear equations
f07mbf (dsysvx)
Example Text
Example Data
21 dsysvx
nagf_lapacklin_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_lapacklin_dsytrf
Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mef (dsytrs)
Example Text
Example Data
15 dsytrs
nagf_lapacklin_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_lapacklin_dsycon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdf (dsytrf)
f07mhf (dsyrfs)
Example Text
Example Data
15 dsyrfs
nagf_lapacklin_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_lapacklin_dsytri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdf (dsytrf)
f07mnf (zhesv)
Example Text
Example Data
21 zhesv
nagf_lapacklin_zhesv
Computes the solution to a complex Hermitian system of linear equations
f07mpf (zhesvx)
Example Text
Example Data
21 zhesvx
nagf_lapacklin_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_lapacklin_zhetrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix
f07msf (zhetrs)
Example Text
Example Data
15 zhetrs
nagf_lapacklin_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_lapacklin_zhecon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrf (zhetrf)
f07mvf (zherfs)
Example Text
Example Data
15 zherfs
nagf_lapacklin_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_lapacklin_zhetri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mrf (zhetrf)
f07nnf (zsysv)
Example Text
Example Data
21 zsysv
nagf_lapacklin_zsysv
Computes the solution to a complex symmetric system of linear equations
f07npf (zsysvx)
Example Text
Example Data
21 zsysvx
nagf_lapacklin_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_lapacklin_zsytrf
Bunch–Kaufman factorization of complex symmetric matrix
f07nsf (zsytrs)
Example Text
Example Data
15 zsytrs
nagf_lapacklin_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_lapacklin_zsycon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrf (zsytrf)
f07nvf (zsyrfs)
Example Text
Example Data
15 zsyrfs
nagf_lapacklin_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_lapacklin_zsytri
Inverse of complex symmetric matrix, matrix already factorized by f07nrf (zsytrf)
f07paf (dspsv)
Example Text
Example Data
21 dspsv
nagf_lapacklin_dspsv
Computes the solution to a real symmetric system of linear equations, packed storage
f07pbf (dspsvx)
Example Text
Example Data
21 dspsvx
nagf_lapacklin_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_lapacklin_dsptrf
Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pef (dsptrs)
Example Text
Example Data
15 dsptrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_dsptri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdf (dsptrf), packed storage
f07pnf (zhpsv)
Example Text
Example Data
21 zhpsv
nagf_lapacklin_zhpsv
Computes the solution to a complex Hermitian system of linear equations, packed storage
f07ppf (zhpsvx)
Example Text
Example Data
21 zhpsvx
nagf_lapacklin_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_lapacklin_zhptrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
f07psf (zhptrs)
Example Text
Example Data
15 zhptrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zhptri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07prf (zhptrf), packed storage
f07qnf (zspsv)
Example Text
Example Data
21 zspsv
nagf_lapacklin_zspsv
Computes the solution to a complex symmetric system of linear equations, packed storage
f07qpf (zspsvx)
Example Text
Example Data
21 zspsvx
nagf_lapacklin_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_lapacklin_zsptrf
Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsf (zsptrs)
Example Text
Example Data
15 zsptrs
nagf_lapacklin_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_lapacklin_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_lapacklin_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_lapacklin_zsptri
Inverse of complex symmetric matrix, matrix already factorized by f07qrf (zsptrf), packed storage
f07tef (dtrtrs)
Example Text
Example Data
15 dtrtrs
nagf_lapacklin_dtrtrs
Solution of real triangular system of linear equations, multiple right-hand sides
f07tgf (dtrcon)
Example Text
Example Data
15 dtrcon
nagf_lapacklin_dtrcon
Estimate condition number of real triangular matrix
f07thf (dtrrfs)
Example Text
Example Data
15 dtrrfs
nagf_lapacklin_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_lapacklin_dtrtri
Inverse of real triangular matrix
f07tsf (ztrtrs)
Example Text
Example Data
15 ztrtrs
nagf_lapacklin_ztrtrs
Solution of complex triangular system of linear equations, multiple right-hand sides
f07tuf (ztrcon)
Example Text
Example Data
15 ztrcon
nagf_lapacklin_ztrcon
Estimate condition number of complex triangular matrix
f07tvf (ztrrfs)
Example Text
Example Data
15 ztrrfs
nagf_lapacklin_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_lapacklin_ztrtri
Inverse of complex triangular matrix
f07uef (dtptrs)
Example Text
Example Data
15 dtptrs
nagf_lapacklin_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ugf (dtpcon)
Example Text
Example Data
15 dtpcon
nagf_lapacklin_dtpcon
Estimate condition number of real triangular matrix, packed storage
f07uhf (dtprfs)
Example Text
Example Data
15 dtprfs
nagf_lapacklin_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_lapacklin_dtptri
Inverse of real triangular matrix, packed storage
f07usf (ztptrs)
Example Text
Example Data
15 ztptrs
nagf_lapacklin_ztptrs
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uuf (ztpcon)
Example Text
Example Data
15 ztpcon
nagf_lapacklin_ztpcon
Estimate condition number of complex triangular matrix, packed storage
f07uvf (ztprfs)
Example Text
Example Data
15 ztprfs
nagf_lapacklin_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_lapacklin_ztptri
Inverse of complex triangular matrix, packed storage
f07vef (dtbtrs)
Example Text
Example Data
15 dtbtrs
nagf_lapacklin_dtbtrs
Solution of real band triangular system of linear equations, multiple right-hand sides
f07vgf (dtbcon)
Example Text
Example Data
15 dtbcon
nagf_lapacklin_dtbcon
Estimate condition number of real band triangular matrix
f07vhf (dtbrfs)
Example Text
Example Data
15 dtbrfs
nagf_lapacklin_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_lapacklin_ztbtrs
Solution of complex band triangular system of linear equations, multiple right-hand sides
f07vuf (ztbcon)
Example Text
Example Data
15 ztbcon
nagf_lapacklin_ztbcon
Estimate condition number of complex band triangular matrix
f07vvf (ztbrfs)
Example Text
Example Data
15 ztbrfs
nagf_lapacklin_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_lapacklin_dpftrf
Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
f07wef (dpftrs)
Example Text
Example Data
23 dpftrs
nagf_lapacklin_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_lapacklin_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_lapacklin_dtftri
Inverse of real triangular matrix, Rectangular Full Packed format
f07wrf (zpftrf)
Example Text
Example Data
23 zpftrf
nagf_lapacklin_zpftrf
Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
f07wsf (zpftrs)
Example Text
Example Data
23 zpftrs
nagf_lapacklin_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_lapacklin_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_lapacklin_ztftri
Inverse of complex triangular matrix, Rectangular Full Packed format
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017