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
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.
ARGUMENTS
- TRANS (input) CHARACTER*1
-
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': 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