# 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 27.1 nagad_lapacklin_dgesv
Computes the solution to a real system of linear equations
f07ad 27 nagad_lapacklin_dgetrf
$LU$ factorization of real $m×n$ matrix
f07ae 27.1 nagad_lapacklin_dgetrs
Solution of real system of linear equations, multiple right-hand sides, matrix already factorized by f07ad
f07aj 27 nagad_lapacklin_dgetri
Inverse of real matrix, matrix already factorized by f07ad
f07ar 27.1 nagad_lapacklin_zgetrf
$LU$ factorization of complex $m×n$ matrix
f07aw 27.1 nagad_lapacklin_zgetri
Inverse of complex matrix, matrix already factorized by f07ar
f07ca 26.2 nagad_lapacklin_dgtsv (symbolic adjoint strategy) (Second order AD)
Computes the solution to a real tridiagonal system of linear equations
f07cd 27 nagad_lapacklin_dgttrf
$LU$ factorization of real tridiagonal matrix
f07ce 26.2 nagad_lapacklin_dgttrs
Solves a real tridiagonal system of linear equations using the $LU$ factorization computed by f07cd
f07fd 26.2 nagad_lapacklin_dpotrf
Cholesky factorization of real symmetric positive definite matrix
f07fe 26.2 nagad_lapacklin_dpotrs
Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fd
f07fj 27.1 nagad_lapacklin_dpotri
Inverse of real symmetric positive definite matrix, matrix already factorized by f07fd
f07ue 27.1 nagad_lapacklin_dtptrs
Solution of real triangular system of linear equations, multiple right-hand sides, packed storage