NAG Toolbox

F07 – linear equations (lapack)

• 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