F07 Chapter Contents (PDF version)
F07 Chapter Introduction
NAG Library Manual

NAG Library Chapter Contents

F07 – Linear Equations (LAPACK)


F07 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
21 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
21 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
21 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
21 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
21 DGTTRF
nagf_lapack_dgttrf
LU factorization of real tridiagonal matrix
F07CEF (DGTTRS)
Example Text
Example Data
21 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
21 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
21 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
21 ZGTTRF
nagf_lapack_zgttrf
LU factorization of complex tridiagonal matrix
F07CSF (ZGTTRS)
Example Text
Example Data
21 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
21 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
21 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
21 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
21 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
21 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
21 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
21 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
21 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
21 DPTTRF
nagf_lapack_dpttrf
Computes the LDLT factorization of a real symmetric positive definite tridiagonal matrix
F07JEF (DPTTRS)
Example Text
Example Data
21 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
21 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
21 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
21 ZPTTRF
nagf_lapack_zpttrf
Computes the LDLH factorization of a complex Hermitian positive definite tridiagonal matrix
F07JSF (ZPTTRS)
Example Text
Example Data
21 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
21 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
21 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

F07 Chapter Contents (PDF version)
F07 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2016