# zgetrs (l) - Linux Manuals

## NAME

ZGETRS - solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by ZGETRF

## SYNOPSIS

SUBROUTINE ZGETRS(
TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO )

CHARACTER TRANS

INTEGER INFO, LDA, LDB, N, NRHS

INTEGER IPIV( * )

COMPLEX*16 A( LDA, * ), B( LDB, * )

## PURPOSE

ZGETRS solves a system of linear equations
B,  A**T B,  or  A**H B with a general N-by-N matrix A using the LU factorization computed by ZGETRF.

## ARGUMENTS

TRANS (input) CHARACTER*1
Specifies the form of the system of equations:
= aqNaq: A * X = B (No transpose)
= aqTaq: A**T * X = B (Transpose)
= aqCaq: A**H * X = B (Conjugate transpose)
N (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
A (input) COMPLEX*16 array, dimension (LDA,N)
The factors L and U from the factorization A = P*L*U as computed by ZGETRF.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,N).
IPIV (input) INTEGER array, dimension (N)
The pivot indices from ZGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIV(i).
B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value