NAG Toolbox |

- F07 Introduction
- f07aa – Computes the solution to a real system of linear equations
- nag_lapack_dgesv
- f07ab – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
- nag_lapack_dgesvx
- f07ac – Computes the solution to a real system of linear equations using mixed precision arithmetic
- nag_lapack_dsgesv
- f07ad – LU factorization of real m by n matrix
- nag_lapack_dgetrf
- f07ae – Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07ad
- nag_lapack_dgetrs
- f07af – Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number
- nag_lapack_dgeequ
- f07ag – Estimate condition number of real matrix, matrix already factorized by f07ad
- nag_lapack_dgecon
- f07ah – Refined solution with error bounds of real system of linear equations, multiple right-hand sides
- nag_lapack_dgerfs
- f07aj – Inverse of real matrix, matrix already factorized by f07ad
- nag_lapack_dgetri
- f07an – Computes the solution to a complex system of linear equations
- nag_lapack_zgesv
- f07ap – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
- nag_lapack_zgesvx
- f07aq – Computes the solution to a complex system of linear equations using mixed precision arithmetic
- nag_lapack_zcgesv
- f07ar – LU factorization of complex m by n matrix
- nag_lapack_zgetrf
- f07as – Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07ar
- nag_lapack_zgetrs
- f07at – Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
- nag_lapack_zgeequ
- f07au – Estimate condition number of complex matrix, matrix already factorized by f07ar
- nag_lapack_zgecon
- f07av – Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
- nag_lapack_zgerfs
- f07aw – Inverse of complex matrix, matrix already factorized by f07ar
- nag_lapack_zgetri
- f07ba – Computes the solution to a real banded system of linear equations
- nag_lapack_dgbsv
- f07bb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
- nag_lapack_dgbsvx
- f07bd – LU factorization of real m by n band matrix
- nag_lapack_dgbtrf
- f07be – Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bd
- nag_lapack_dgbtrs
- f07bf – Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
- nag_lapack_dgbequ
- f07bg – Estimate condition number of real band matrix, matrix already factorized by f07bd
- nag_lapack_dgbcon
- f07bh – Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
- nag_lapack_dgbrfs
- f07bn – Computes the solution to a complex banded system of linear equations
- nag_lapack_zgbsv
- f07bp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
- nag_lapack_zgbsvx
- f07br – LU factorization of complex m by n band matrix
- nag_lapack_zgbtrf
- f07bs – Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07br
- nag_lapack_zgbtrs
- f07bt – Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
- nag_lapack_zgbequ
- f07bu – Estimate condition number of complex band matrix, matrix already factorized by f07br
- nag_lapack_zgbcon
- f07bv – Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
- nag_lapack_zgbrfs
- f07ca – Computes the solution to a real tridiagonal system of linear equations
- nag_lapack_dgtsv
- f07cb – Uses the LU factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
- nag_lapack_dgtsvx
- f07cd – LU factorization of real tridiagonal matrix
- nag_lapack_dgttrf
- f07ce – Solves a real tridiagonal system of linear equations using the LU factorization computed by f07cd
- nag_lapack_dgttrs
- f07cg – Estimates the reciprocal of the condition number of a real tridiagonal matrix using the LU factorization computed by f07cd
- nag_lapack_dgtcon
- f07ch – Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
- nag_lapack_dgtrfs
- f07cn – Computes the solution to a complex tridiagonal system of linear equations
- nag_lapack_zgtsv
- f07cp – Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
- nag_lapack_zgtsvx
- f07cr – LU factorization of complex tridiagonal matrix
- nag_lapack_zgttrf
- f07cs – Solves a complex tridiagonal system of linear equations using the LU factorization computed by f07cd
- nag_lapack_zgttrs
- f07cu – Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the LU factorization computed by f07cd
- nag_lapack_zgtcon
- f07cv – Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
- nag_lapack_zgtrfs
- f07fa – Computes the solution to a real symmetric positive definite system of linear equations
- nag_lapack_dposv
- f07fb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
- nag_lapack_dposvx
- f07fc – Computes the solution to a real symmetric positive definite system of linear equations using mixed precision arithmetic
- nag_lapack_dsposv
- f07fd – Cholesky factorization of real symmetric positive definite matrix
- nag_lapack_dpotrf
- f07fe – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fd
- nag_lapack_dpotrs
- f07ff – Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number
- nag_lapack_dpoequ
- f07fg – Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fd
- nag_lapack_dpocon
- f07fh – Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
- nag_lapack_dporfs
- f07fj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07fd
- nag_lapack_dpotri
- f07fn – Computes the solution to a complex Hermitian positive definite system of linear equations
- nag_lapack_zposv
- f07fp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
- nag_lapack_zposvx
- f07fq – Computes the solution to a complex Hermitian positive definite system of linear equations using mixed precision arithmetic
- nag_lapack_zcposv
- f07fr – Cholesky factorization of complex Hermitian positive definite matrix
- nag_lapack_zpotrf
- f07fs – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fr
- nag_lapack_zpotrs
- f07ft – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
- nag_lapack_zpoequ
- f07fu – Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07fr
- nag_lapack_zpocon
- f07fv – Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
- nag_lapack_zporfs
- f07fw – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07fr
- nag_lapack_zpotri
- f07ga – Computes the solution to a real symmetric positive definite system of linear equations, packed storage
- nag_lapack_dppsv
- f07gb – 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
- nag_lapack_dppsvx
- f07gd – Cholesky factorization of real symmetric positive definite matrix, packed storage
- nag_lapack_dpptrf
- f07ge – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gd, packed storage
- nag_lapack_dpptrs
- f07gf – Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage
- nag_lapack_dppequ
- f07gg – Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gd, packed storage
- nag_lapack_dppcon
- f07gh – Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_dpprfs
- f07gj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07gd, packed storage
- nag_lapack_dpptri
- f07gn – Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
- nag_lapack_zppsv
- f07gp – 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
- nag_lapack_zppsvx
- f07gr – Cholesky factorization of complex Hermitian positive definite matrix, packed storage
- nag_lapack_zpptrf
- f07gs – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gr, packed storage
- nag_lapack_zpptrs
- f07gt – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
- nag_lapack_zppequ
- f07gu – Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07gr, packed storage
- nag_lapack_zppcon
- f07gv – Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_zpprfs
- f07gw – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07gr, packed storage
- nag_lapack_zpptri
- f07ha – Computes the solution to a real symmetric positive definite banded system of linear equations
- nag_lapack_dpbsv
- f07hb – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
- nag_lapack_dpbsvx
- f07hd – Cholesky factorization of real symmetric positive definite band matrix
- nag_lapack_dpbtrf
- f07he – Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hd
- nag_lapack_dpbtrs
- f07hf – Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
- nag_lapack_dpbequ
- f07hg – Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hd
- nag_lapack_dpbcon
- f07hh – Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
- nag_lapack_dpbrfs
- f07hn – Computes the solution to a complex Hermitian positive definite banded system of linear equations
- nag_lapack_zpbsv
- f07hp – Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
- nag_lapack_zpbsvx
- f07hr – Cholesky factorization of complex Hermitian positive definite band matrix
- nag_lapack_zpbtrf
- f07hs – Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hr
- nag_lapack_zpbtrs
- f07ht – Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
- nag_lapack_zpbequ
- f07hu – Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hr
- nag_lapack_zpbcon
- f07hv – Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
- nag_lapack_zpbrfs
- f07ja – Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
- nag_lapack_dptsv
- f07jb – Uses the LDL
^{T}factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations - nag_lapack_dptsvx
- f07jd – Computes the LDL
^{T}factorization of a real symmetric positive definite tridiagonal matrix - nag_lapack_dpttrf
- f07je – Solves a real symmetric positive definite tridiagonal system using the LDL
^{T}factorization computed by f07jd - nag_lapack_dpttrs
- f07jg – Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the LDL
^{T}factorization computed by f07jd - nag_lapack_dptcon
- f07jh – Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
- nag_lapack_dptrfs
- f07jn – Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
- nag_lapack_zptsv
- f07jp – Uses the LDL
^{T}factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations - nag_lapack_zptsvx
- f07jr – Computes the LDL
^{T}factorization of a complex Hermitian positive definite tridiagonal matrix - nag_lapack_zpttrf
- f07js – Solves a complex Hermitian positive definite tridiagonal system using the LDL
^{T}factorization computed by f07jr - nag_lapack_zpttrs
- f07ju – Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the LDL
^{T}factorization computed by f07jr - nag_lapack_zptcon
- f07jv – Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
- nag_lapack_zptrfs
- f07kd – Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix
- nag_lapack_dpstrf
- f07kr – Cholesky factorization of complex Hermitian positive semidefinite matrix
- nag_lapack_zpstrf
- f07ma – Computes the solution to a real symmetric system of linear equations
- nag_lapack_dsysv
- f07mb – Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
- nag_lapack_dsysvx
- f07md – Bunch–Kaufman factorization of real symmetric indefinite matrix
- nag_lapack_dsytrf
- f07me – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07md
- nag_lapack_dsytrs
- f07mg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07md
- nag_lapack_dsycon
- f07mh – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
- nag_lapack_dsyrfs
- f07mj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07md
- nag_lapack_dsytri
- f07mn – Computes the solution to a complex Hermitian system of linear equations
- nag_lapack_zhesv
- f07mp – Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
- nag_lapack_zhesvx
- f07mr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix
- nag_lapack_zhetrf
- f07ms – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mr
- nag_lapack_zhetrs
- f07mu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mr
- nag_lapack_zhecon
- f07mv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
- nag_lapack_zherfs
- f07mw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mr
- nag_lapack_zhetri
- f07nn – Computes the solution to a complex symmetric system of linear equations
- nag_lapack_zsysv
- f07np – Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
- nag_lapack_zsysvx
- f07nr – Bunch–Kaufman factorization of complex symmetric matrix
- nag_lapack_zsytrf
- f07ns – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nr
- nag_lapack_zsytrs
- f07nu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07nr
- nag_lapack_zsycon
- f07nv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
- nag_lapack_zsyrfs
- f07nw – Inverse of complex symmetric matrix, matrix already factorized by f07nr
- nag_lapack_zsytri
- f07pa – Computes the solution to a real symmetric system of linear equations, packed storage
- nag_lapack_dspsv
- f07pb – 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.
- nag_lapack_dspsvx
- f07pd – Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
- nag_lapack_dsptrf
- f07pe – Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pd, packed storage
- nag_lapack_dsptrs
- f07pg – Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage
- nag_lapack_dspcon
- f07ph – Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_dsprfs
- f07pj – Inverse of real symmetric indefinite matrix, matrix already factorized by f07pd, packed storage
- nag_lapack_dsptri
- f07pn – Computes the solution to a complex Hermitian system of linear equations, packed storage
- nag_lapack_zhpsv
- f07pp – Uses the diagonal pivoting factorization to compute the solution to a complex, Hermitian, system of linear equations, error bounds and condition estimates. Packed storage
- nag_lapack_zhpsvx
- f07pr – Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
- nag_lapack_zhptrf
- f07ps – Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pr, packed storage
- nag_lapack_zhptrs
- f07pu – Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage
- nag_lapack_zhpcon
- f07pv – Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_zhprfs
- f07pw – Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07pr, packed storage
- nag_lapack_zhptri
- f07qn – Computes the solution to a complex symmetric system of linear equations, packed storage
- nag_lapack_zspsv
- f07qp – Uses the diagonal pivoting factorization to compute the solution to a complex, symmetric, system of linear equations, error bounds and condition estimates. Packed storage
- nag_lapack_zspsvx
- f07qr – Bunch–Kaufman factorization of complex symmetric matrix, packed storage
- nag_lapack_zsptrf
- f07qs – Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qr, packed storage
- nag_lapack_zsptrs
- f07qu – Estimate condition number of complex symmetric matrix, matrix already factorized by f07qr, packed storage
- nag_lapack_zspcon
- f07qv – Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_zsprfs
- f07qw – Inverse of complex symmetric matrix, matrix already factorized by f07qr, packed storage
- nag_lapack_zsptri
- f07te – Solution of real triangular system of linear equations, multiple right-hand sides
- nag_lapack_dtrtrs
- f07tg – Estimate condition number of real triangular matrix
- nag_lapack_dtrcon
- f07th – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
- nag_lapack_dtrrfs
- f07tj – Inverse of real triangular matrix
- nag_lapack_dtrtri
- f07ts – Solution of complex triangular system of linear equations, multiple right-hand sides
- nag_lapack_ztrtrs
- f07tu – Estimate condition number of complex triangular matrix
- nag_lapack_ztrcon
- f07tv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
- nag_lapack_ztrrfs
- f07tw – Inverse of complex triangular matrix
- nag_lapack_ztrtri
- f07ue – Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_dtptrs
- f07ug – Estimate condition number of real triangular matrix, packed storage
- nag_lapack_dtpcon
- f07uh – Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_dtprfs
- f07uj – Inverse of real triangular matrix, packed storage
- nag_lapack_dtptri
- f07us – Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_ztptrs
- f07uu – Estimate condition number of complex triangular matrix, packed storage
- nag_lapack_ztpcon
- f07uv – Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
- nag_lapack_ztprfs
- f07uw – Inverse of complex triangular matrix, packed storage
- nag_lapack_ztptri
- f07ve – Solution of real band triangular system of linear equations, multiple right-hand sides
- nag_lapack_dtbtrs
- f07vg – Estimate condition number of real band triangular matrix
- nag_lapack_dtbcon
- f07vh – Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
- nag_lapack_dtbrfs
- f07vs – Solution of complex band triangular system of linear equations, multiple right-hand sides
- nag_lapack_ztbtrs
- f07vu – Estimate condition number of complex band triangular matrix
- nag_lapack_ztbcon
- f07vv – Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
- nag_lapack_ztbrfs
- f07wd – Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
- nag_lapack_dpftrf
- f07we – Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wd, Rectangular Full Packed format
- nag_lapack_dpftrs
- f07wj – Inverse of real symmetric positive definite matrix, matrix already factorized by f07wd, Rectangular Full Packed format
- nag_lapack_dpftri
- f07wk – Inverse of real triangular matrix, Rectangular Full Packed format
- nag_lapack_dtftri
- f07wr – Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
- nag_lapack_zpftrf
- f07ws – Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wr, Rectangular Full Packed format
- nag_lapack_zpftrs
- f07ww – Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07wr, Rectangular Full Packed format
- nag_lapack_zpftri
- f07wx – Inverse of complex triangular matrix, Rectangular Full Packed format
- nag_lapack_ztftri

F05 |
F08 |