# NAG AD LibraryF07 (Lapacklin)Linear Equations (LAPACK)

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

Routine
Mark of
Introduction

Purpose
f07aa_a1w_f 27.1 nagf_lapacklin_dgesv_a1w
Computes the solution to a real system of linear equations
$LU$ factorization of real $m×n$ matrix
f07ae_a1w_f 27.1 nagf_lapacklin_dgetrs_a1w
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07ad_a1w_f
f07aj_a1w_f 27 nagf_lapacklin_dgetri_a1w
f07ar_a1w_f 27.1 nagf_lapacklin_zgetrf_a1w
$LU$ factorization of complex $m×n$ matrix
f07aw_a1w_f 27.1 nagf_lapacklin_zgetri_a1w
Inverse of complex matrix, matrix already factorized by f07ar_a1w_f
f07ca_a1w_f 26.2 nagf_lapacklin_dgtsv_a1w (symbolic adjoint mode)
Computes the solution to a real tridiagonal system of linear equations
f07cd_a1w_f 27 nagf_lapacklin_dgttrf_a1w
$LU$ factorization of real tridiagonal matrix
f07ce_a1w_f 26.2 nagf_lapacklin_dgttrs_a1w
Solves a real tridiagonal system of linear equations using the $LU$ factorization computed by f07cd_a1w_f
f07fd_a1w_f 26.2 nagf_lapacklin_dpotrf_a1w
Cholesky factorization of real symmetric positive definite matrix
f07fe_a1w_f 26.2 nagf_lapacklin_dpotrs_a1w
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fd_a1w_f
f07fj_a1w_f 27.1 nagf_lapacklin_dpotri_a1w
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fd_a1w_f
f07ue_a1w_f 27.1 nagf_lapacklin_dtptrs_a1w
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage