# NAG FL InterfaceF07 (Lapacklin)Linear Equations (LAPACK)

F07 (Lapacklin) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
f07aaf
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Example Data
21 dgesv
nagf_lapacklin_dgesv
Computes the solution to a real system of linear equations
f07abf
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Example Data
21 dgesvx
nagf_lapacklin_dgesvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real system of linear equations
f07acf
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Example Data
22 dsgesv
nagf_lapacklin_dsgesv
Computes the solution to a real system of linear equations using mixed precision arithmetic
Example Text
Example Data
15 dgetrf
nagf_lapacklin_dgetrf
$LU$ factorization of real $m$ by $n$ matrix
f07aef
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15 dgetrs
nagf_lapacklin_dgetrs
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07adf
f07aff
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Example Data
22 dgeequ
nagf_lapacklin_dgeequ
Computes row and column scalings intended to equilibrate a general real matrix and reduce its condition number
f07agf
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15 dgecon
nagf_lapacklin_dgecon
f07ahf
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Example Data
15 dgerfs
nagf_lapacklin_dgerfs
Refined solution with error bounds of real system of linear equations, multiple right-hand sides
f07ajf
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15 dgetri
nagf_lapacklin_dgetri
f07anf
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Example Data
21 zgesv
nagf_lapacklin_zgesv
Computes the solution to a complex system of linear equations
f07apf
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Example Data
21 zgesvx
nagf_lapacklin_zgesvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex system of linear equations
f07aqf
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Example Data
22 zcgesv
nagf_lapacklin_zcgesv
Computes the solution to a complex system of linear equations using mixed precision arithmetic
f07arf
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Example Data
15 zgetrf
nagf_lapacklin_zgetrf
$LU$ factorization of complex $m$ by $n$ matrix
f07asf
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15 zgetrs
nagf_lapacklin_zgetrs
Solution of complex system of linear equations, multiple right-hand sides, matrix already factorized by f07arf
f07atf
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Example Data
22 zgeequ
nagf_lapacklin_zgeequ
Computes row and column scalings intended to equilibrate a general complex matrix and reduce its condition number
f07auf
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Example Data
15 zgecon
nagf_lapacklin_zgecon
Estimate condition number of complex matrix, matrix already factorized by f07arf
f07avf
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15 zgerfs
nagf_lapacklin_zgerfs
Refined solution with error bounds of complex system of linear equations, multiple right-hand sides
f07awf
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15 zgetri
nagf_lapacklin_zgetri
Inverse of complex matrix, matrix already factorized by f07arf
f07baf
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21 dgbsv
nagf_lapacklin_dgbsv
Computes the solution to a real banded system of linear equations
f07bbf
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21 dgbsvx
nagf_lapacklin_dgbsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
f07bdf
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Example Data
15 dgbtrf
nagf_lapacklin_dgbtrf
$LU$ factorization of real $m$ by $n$ band matrix
f07bef
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15 dgbtrs
nagf_lapacklin_dgbtrs
Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by f07bdf
f07bff
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22 dgbequ
nagf_lapacklin_dgbequ
Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
f07bgf
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15 dgbcon
nagf_lapacklin_dgbcon
Estimate condition number of real band matrix, matrix already factorized by f07bdf
f07bhf
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15 dgbrfs
nagf_lapacklin_dgbrfs
Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
f07bnf
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21 zgbsv
nagf_lapacklin_zgbsv
Computes the solution to a complex banded system of linear equations
f07bpf
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21 zgbsvx
nagf_lapacklin_zgbsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
f07brf
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Example Data
15 zgbtrf
nagf_lapacklin_zgbtrf
$LU$ factorization of complex $m$ by $n$ band matrix
f07bsf
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15 zgbtrs
nagf_lapacklin_zgbtrs
Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by f07brf
f07btf
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Example Data
22 zgbequ
nagf_lapacklin_zgbequ
Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
f07buf
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Example Data
15 zgbcon
nagf_lapacklin_zgbcon
Estimate condition number of complex band matrix, matrix already factorized by f07brf
f07bvf
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15 zgbrfs
nagf_lapacklin_zgbrfs
Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
f07caf
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Example Data
21 dgtsv
nagf_lapacklin_dgtsv
Computes the solution to a real tridiagonal system of linear equations
f07cbf
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21 dgtsvx
nagf_lapacklin_dgtsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a real tridiagonal system of linear equations
f07cdf
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Example Data
22 dgttrf
nagf_lapacklin_dgttrf
$LU$ factorization of real tridiagonal matrix
f07cef
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22 dgttrs
nagf_lapacklin_dgttrs
Solves a real tridiagonal system of linear equations using the $LU$ factorization computed by f07cdf
f07cgf
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22 dgtcon
nagf_lapacklin_dgtcon
Estimates the reciprocal of the condition number of a real tridiagonal matrix using the $LU$ factorization computed by f07cdf
f07chf
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22 dgtrfs
nagf_lapacklin_dgtrfs
Refined solution with error bounds of real tridiagonal system of linear equations, multiple right-hand sides
f07cnf
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21 zgtsv
nagf_lapacklin_zgtsv
Computes the solution to a complex tridiagonal system of linear equations
f07cpf
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21 zgtsvx
nagf_lapacklin_zgtsvx
Uses the $LU$ factorization to compute the solution, error-bound and condition estimate for a complex tridiagonal system of linear equations
f07crf
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Example Data
22 zgttrf
nagf_lapacklin_zgttrf
$LU$ factorization of complex tridiagonal matrix
f07csf
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22 zgttrs
nagf_lapacklin_zgttrs
Solves a complex tridiagonal system of linear equations using the $LU$ factorization computed by f07cdf
f07cuf
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22 zgtcon
nagf_lapacklin_zgtcon
Estimates the reciprocal of the condition number of a complex tridiagonal matrix using the $LU$ factorization computed by f07cdf
f07cvf
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Example Data
22 zgtrfs
nagf_lapacklin_zgtrfs
Refined solution with error bounds of complex tridiagonal system of linear equations, multiple right-hand sides
f07faf
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21 dposv
nagf_lapacklin_dposv
Computes the solution to a real symmetric positive definite system of linear equations
f07fbf
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21 dposvx
nagf_lapacklin_dposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
f07fcf
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23 dsposv
nagf_lapacklin_dsposv
Computes the solution to a real symmetric positive definite system of linear equations using mixed precision arithmetic
f07fdf
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15 dpotrf
nagf_lapacklin_dpotrf
Cholesky factorization of real symmetric positive definite matrix
f07fef
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15 dpotrs
nagf_lapacklin_dpotrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdf
f07fff
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22 dpoequ
nagf_lapacklin_dpoequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number
f07fgf
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15 dpocon
nagf_lapacklin_dpocon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdf
f07fhf
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15 dporfs
nagf_lapacklin_dporfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
f07fjf
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15 dpotri
nagf_lapacklin_dpotri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdf
f07fnf
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21 zposv
nagf_lapacklin_zposv
Computes the solution to a complex Hermitian positive definite system of linear equations
f07fpf
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21 zposvx
nagf_lapacklin_zposvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
f07fqf
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23 zcposv
nagf_lapacklin_zcposv
Computes the solution to a complex Hermitian positive definite system of linear equations using mixed precision arithmetic
f07frf
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15 zpotrf
nagf_lapacklin_zpotrf
Cholesky factorization of complex Hermitian positive definite matrix
f07fsf
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15 zpotrs
nagf_lapacklin_zpotrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07frf
f07ftf
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22 zpoequ
nagf_lapacklin_zpoequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
f07fuf
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15 zpocon
nagf_lapacklin_zpocon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07frf
f07fvf
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Example Data
15 zporfs
nagf_lapacklin_zporfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
f07fwf
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Example Data
15 zpotri
nagf_lapacklin_zpotri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07frf
f07gaf
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21 dppsv
nagf_lapacklin_dppsv
Computes the solution to a real symmetric positive definite system of linear equations, packed storage
f07gbf
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21 dppsvx
nagf_lapacklin_dppsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage
f07gdf
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15 dpptrf
nagf_lapacklin_dpptrf
Cholesky factorization of real symmetric positive definite matrix, packed storage
f07gef
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15 dpptrs
nagf_lapacklin_dpptrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdf, packed storage
f07gff
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22 dppequ
nagf_lapacklin_dppequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage
f07ggf
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15 dppcon
nagf_lapacklin_dppcon
Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdf, packed storage
f07ghf
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Example Data
15 dpprfs
nagf_lapacklin_dpprfs
Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
f07gjf
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Example Data
15 dpptri
nagf_lapacklin_dpptri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdf, packed storage
f07gnf
Example Text
Example Data
21 zppsv
nagf_lapacklin_zppsv
Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
f07gpf
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21 zppsvx
nagf_lapacklin_zppsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage
f07grf
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15 zpptrf
nagf_lapacklin_zpptrf
Cholesky factorization of complex Hermitian positive definite matrix, packed storage
f07gsf
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15 zpptrs
nagf_lapacklin_zpptrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07grf, packed storage
f07gtf
Example Text
Example Data
22 zppequ
nagf_lapacklin_zppequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
f07guf
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Example Data
15 zppcon
nagf_lapacklin_zppcon
Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by f07grf, packed storage
f07gvf
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15 zpprfs
nagf_lapacklin_zpprfs
Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
f07gwf
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Example Data
15 zpptri
nagf_lapacklin_zpptri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07grf, packed storage
f07haf
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Example Data
21 dpbsv
nagf_lapacklin_dpbsv
Computes the solution to a real symmetric positive definite banded system of linear equations
f07hbf
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21 dpbsvx
nagf_lapacklin_dpbsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
f07hdf
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Example Data
15 dpbtrf
nagf_lapacklin_dpbtrf
Cholesky factorization of real symmetric positive definite band matrix
f07hef
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15 dpbtrs
nagf_lapacklin_dpbtrs
Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdf
f07hff
Example Text
Example Data
22 dpbequ
nagf_lapacklin_dpbequ
Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
f07hgf
Example Text
Example Data
15 dpbcon
nagf_lapacklin_dpbcon
Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdf
f07hhf
Example Text
Example Data
15 dpbrfs
nagf_lapacklin_dpbrfs
Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
f07hnf
Example Text
Example Data
21 zpbsv
nagf_lapacklin_zpbsv
Computes the solution to a complex Hermitian positive definite banded system of linear equations
f07hpf
Example Text
Example Data
21 zpbsvx
nagf_lapacklin_zpbsvx
Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
f07hrf
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Example Data
15 zpbtrf
nagf_lapacklin_zpbtrf
Cholesky factorization of complex Hermitian positive definite band matrix
f07hsf
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15 zpbtrs
nagf_lapacklin_zpbtrs
Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hrf
f07htf
Example Text
Example Data
22 zpbequ
nagf_lapacklin_zpbequ
Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
f07huf
Example Text
Example Data
15 zpbcon
nagf_lapacklin_zpbcon
Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by f07hrf
f07hvf
Example Text
Example Data
15 zpbrfs
nagf_lapacklin_zpbrfs
Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
f07jaf
Example Text
Example Data
21 dptsv
nagf_lapacklin_dptsv
Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
f07jbf
Example Text
Example Data
21 dptsvx
nagf_lapacklin_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
Example Text
Example Data
22 dpttrf
nagf_lapacklin_dpttrf
Computes the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization of a real symmetric positive definite tridiagonal matrix
f07jef
Example Text
Example Data
22 dpttrs
nagf_lapacklin_dpttrs
Solves a real symmetric positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization computed by f07jdf
f07jgf
Example Text
Example Data
22 dptcon
nagf_lapacklin_dptcon
Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{T}}$ factorization computed by f07jdf
f07jhf
Example Text
Example Data
22 dptrfs
nagf_lapacklin_dptrfs
Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
f07jnf
Example Text
Example Data
21 zptsv
nagf_lapacklin_zptsv
Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
f07jpf
Example Text
Example Data
21 zptsvx
nagf_lapacklin_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
Example Text
Example Data
22 zpttrf
nagf_lapacklin_zpttrf
Computes the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization of a complex Hermitian positive definite tridiagonal matrix
f07jsf
Example Text
Example Data
22 zpttrs
nagf_lapacklin_zpttrs
Solves a complex Hermitian positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization computed by f07jrf
f07juf
Example Text
Example Data
22 zptcon
nagf_lapacklin_zptcon
Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the ${\mathrm{LDL}}^{\mathrm{H}}$ factorization computed by f07jrf
f07jvf
Example Text
Example Data
22 zptrfs
nagf_lapacklin_zptrfs
Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
f07kdf
Example Text
Example Data
23 dpstrf
nagf_lapacklin_dpstrf
Cholesky factorization, with complete pivoting, of a real, symmetric, positive semidefinite matrix
f07krf
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Example Data
23 zpstrf
nagf_lapacklin_zpstrf
Cholesky factorization of complex Hermitian positive semidefinite matrix
f07maf
Example Text
Example Data
21 dsysv
nagf_lapacklin_dsysv
Computes the solution to a real symmetric system of linear equations
f07mbf
Example Text
Example Data
21 dsysvx
nagf_lapacklin_dsysvx
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations
f07mdf
Example Text
Example Data
15 dsytrf
nagf_lapacklin_dsytrf
Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mef
Example Text
Example Data
15 dsytrs
nagf_lapacklin_dsytrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdf
f07mgf
Example Text
Example Data
15 dsycon
nagf_lapacklin_dsycon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdf
f07mhf
Example Text
Example Data
15 dsyrfs
nagf_lapacklin_dsyrfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
f07mjf
Example Text
Example Data
15 dsytri
nagf_lapacklin_dsytri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdf
f07mnf
Example Text
Example Data
21 zhesv
nagf_lapacklin_zhesv
Computes the solution to a complex Hermitian system of linear equations
f07mpf
Example Text
Example Data
21 zhesvx
nagf_lapacklin_zhesvx
Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
f07mrf
Example Text
Example Data
15 zhetrf
nagf_lapacklin_zhetrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix
f07msf
Example Text
Example Data
15 zhetrs
nagf_lapacklin_zhetrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mrf
f07muf
Example Text
Example Data
15 zhecon
nagf_lapacklin_zhecon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07mrf
f07mvf
Example Text
Example Data
15 zherfs
nagf_lapacklin_zherfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
f07mwf
Example Text
Example Data
15 zhetri
nagf_lapacklin_zhetri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07mrf
f07nnf
Example Text
Example Data
21 zsysv
nagf_lapacklin_zsysv
Computes the solution to a complex symmetric system of linear equations
f07npf
Example Text
Example Data
21 zsysvx
nagf_lapacklin_zsysvx
Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
f07nrf
Example Text
Example Data
15 zsytrf
nagf_lapacklin_zsytrf
Bunch–Kaufman factorization of complex symmetric matrix
f07nsf
Example Text
Example Data
15 zsytrs
nagf_lapacklin_zsytrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrf
f07nuf
Example Text
Example Data
15 zsycon
nagf_lapacklin_zsycon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrf
f07nvf
Example Text
Example Data
15 zsyrfs
nagf_lapacklin_zsyrfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
f07nwf
Example Text
Example Data
15 zsytri
nagf_lapacklin_zsytri
Inverse of complex symmetric matrix, matrix already factorized by f07nrf
f07paf
Example Text
Example Data
21 dspsv
nagf_lapacklin_dspsv
Computes the solution to a real symmetric system of linear equations, packed storage
f07pbf
Example Text
Example Data
21 dspsvx
nagf_lapacklin_dspsvx
Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage. Error bounds and a condition estimate are also computed
f07pdf
Example Text
Example Data
15 dsptrf
nagf_lapacklin_dsptrf
Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pef
Example Text
Example Data
15 dsptrs
nagf_lapacklin_dsptrs
Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdf, packed storage
f07pgf
Example Text
Example Data
15 dspcon
nagf_lapacklin_dspcon
Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdf, packed storage
f07phf
Example Text
Example Data
15 dsprfs
nagf_lapacklin_dsprfs
Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
f07pjf
Example Text
Example Data
15 dsptri
nagf_lapacklin_dsptri
Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdf, packed storage
f07pnf
Example Text
Example Data
21 zhpsv
nagf_lapacklin_zhpsv
Computes the solution to a complex Hermitian system of linear equations, packed storage
f07ppf
Example Text
Example Data
21 zhpsvx
nagf_lapacklin_zhpsvx
Uses the diagonal pivoting factorization to compute the solution to a complex, Hermitian, system of linear equations, error bounds and condition estimates. Packed storage
f07prf
Example Text
Example Data
15 zhptrf
nagf_lapacklin_zhptrf
Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
f07psf
Example Text
Example Data
15 zhptrs
nagf_lapacklin_zhptrs
Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07prf, packed storage
f07puf
Example Text
Example Data
15 zhpcon
nagf_lapacklin_zhpcon
Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by f07prf, packed storage
f07pvf
Example Text
Example Data
15 zhprfs
nagf_lapacklin_zhprfs
Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
f07pwf
Example Text
Example Data
15 zhptri
nagf_lapacklin_zhptri
Inverse of complex Hermitian indefinite matrix, matrix already factorized by f07prf, packed storage
f07qnf
Example Text
Example Data
21 zspsv
nagf_lapacklin_zspsv
Computes the solution to a complex symmetric system of linear equations, packed storage
f07qpf
Example Text
Example Data
21 zspsvx
nagf_lapacklin_zspsvx
Uses the diagonal pivoting factorization to compute the solution to a complex, symmetric, system of linear equations, error bounds and condition estimates. Packed storage
f07qrf
Example Text
Example Data
15 zsptrf
nagf_lapacklin_zsptrf
Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsf
Example Text
Example Data
15 zsptrs
nagf_lapacklin_zsptrs
Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrf, packed storage
f07quf
Example Text
Example Data
15 zspcon
nagf_lapacklin_zspcon
Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrf, packed storage
f07qvf
Example Text
Example Data
15 zsprfs
nagf_lapacklin_zsprfs
Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
f07qwf
Example Text
Example Data
15 zsptri
nagf_lapacklin_zsptri
Inverse of complex symmetric matrix, matrix already factorized by f07qrf, packed storage
f07tef
Example Text
Example Data
15 dtrtrs
nagf_lapacklin_dtrtrs
Solution of real triangular system of linear equations, multiple right-hand sides
f07tgf
Example Text
Example Data
15 dtrcon
nagf_lapacklin_dtrcon
Estimate condition number of real triangular matrix
f07thf
Example Text
Example Data
15 dtrrfs
nagf_lapacklin_dtrrfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides
f07tjf
Example Text
Example Data
15 dtrtri
nagf_lapacklin_dtrtri
Inverse of real triangular matrix
f07tsf
Example Text
Example Data
15 ztrtrs
nagf_lapacklin_ztrtrs
Solution of complex triangular system of linear equations, multiple right-hand sides
f07tuf
Example Text
Example Data
15 ztrcon
nagf_lapacklin_ztrcon
Estimate condition number of complex triangular matrix
f07tvf
Example Text
Example Data
15 ztrrfs
nagf_lapacklin_ztrrfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides
f07twf
Example Text
Example Data
15 ztrtri
nagf_lapacklin_ztrtri
Inverse of complex triangular matrix
f07uef
Example Text
Example Data
15 dtptrs
nagf_lapacklin_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ugf
Example Text
Example Data
15 dtpcon
nagf_lapacklin_dtpcon
Estimate condition number of real triangular matrix, packed storage
f07uhf
Example Text
Example Data
15 dtprfs
nagf_lapacklin_dtprfs
Error bounds for solution of real triangular system of linear equations, multiple right-hand sides, packed storage
f07ujf
Example Text
Example Data
15 dtptri
nagf_lapacklin_dtptri
Inverse of real triangular matrix, packed storage
f07usf
Example Text
Example Data
15 ztptrs
nagf_lapacklin_ztptrs
Solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uuf
Example Text
Example Data
15 ztpcon
nagf_lapacklin_ztpcon
Estimate condition number of complex triangular matrix, packed storage
f07uvf
Example Text
Example Data
15 ztprfs
nagf_lapacklin_ztprfs
Error bounds for solution of complex triangular system of linear equations, multiple right-hand sides, packed storage
f07uwf
Example Text
Example Data
15 ztptri
nagf_lapacklin_ztptri
Inverse of complex triangular matrix, packed storage
f07vef
Example Text
Example Data
15 dtbtrs
nagf_lapacklin_dtbtrs
Solution of real band triangular system of linear equations, multiple right-hand sides
f07vgf
Example Text
Example Data
15 dtbcon
nagf_lapacklin_dtbcon
Estimate condition number of real band triangular matrix
f07vhf
Example Text
Example Data
15 dtbrfs
nagf_lapacklin_dtbrfs
Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
f07vsf
Example Text
Example Data
15 ztbtrs
nagf_lapacklin_ztbtrs
Solution of complex band triangular system of linear equations, multiple right-hand sides
f07vuf
Example Text
Example Data
15 ztbcon
nagf_lapacklin_ztbcon
Estimate condition number of complex band triangular matrix
f07vvf
Example Text
Example Data
15 ztbrfs
nagf_lapacklin_ztbrfs
Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
f07wdf
Example Text
Example Data
23 dpftrf
nagf_lapacklin_dpftrf
Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
f07wef
Example Text
Example Data
23 dpftrs
nagf_lapacklin_dpftrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wdf, Rectangular Full Packed format
f07wjf
Example Text
Example Data
23 dpftri
nagf_lapacklin_dpftri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07wdf, Rectangular Full Packed format
f07wkf
Example Text
Example Data
23 dtftri
nagf_lapacklin_dtftri
Inverse of real triangular matrix, Rectangular Full Packed format
f07wrf
Example Text
Example Data
23 zpftrf
nagf_lapacklin_zpftrf
Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
f07wsf
Example Text
Example Data
23 zpftrs
nagf_lapacklin_zpftrs
Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by f07wrf, Rectangular Full Packed format
f07wwf
Example Text
Example Data
23 zpftri
nagf_lapacklin_zpftri
Inverse of complex Hermitian positive definite matrix, matrix already factorized by f07wrf, Rectangular Full Packed format
f07wxf
Example Text
Example Data
23 ztftri
nagf_lapacklin_ztftri
Inverse of complex triangular matrix, Rectangular Full Packed format