RoutineName Mark ofIntroduction 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 ${\mathrm{LDL}}^{\mathrm{T}}$ 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 ${\mathrm{LDL}}^{\mathrm{T}}$ 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 ${\mathrm{LDL}}^{\mathrm{T}}$ 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 ${\mathrm{LDL}}^{\mathrm{T}}$ 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 ${\mathrm{LDL}}^{\mathrm{T}}$ 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 ${\mathrm{LDL}}^{\mathrm{H}}$ 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 ${\mathrm{LDL}}^{\mathrm{H}}$ 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 ${\mathrm{LDL}}^{\mathrm{H}}$ 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