◆ zgetrs()

Solution to LU factorized system of linear equations AX = B, A^TX = B or A^HX = B for a complex matrix

Purpose: This routine solves a system of linear equations
A * X = B, A^T * X = B or A^H * X = B

with a complex n x n matrix A using the LU factorization computed by zgetrf.

Parameters

[in]	trans	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)
[in]	n	Order of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]	nrhs	Number of right hand sides, i.e., number of columns of the matrix B. (nrhs >= 0) (If nrhs = 0, returns without computation)
[in]	lda	Leading dimension of the two dimensional array a[][]. (lda >= max(1, n))
[in]	a[]	Array a[la][lda] (la >= n) Factors L and U from the factorization A = PLU as computed by zgetrf.
[in]	ipiv[]	Array ipiv[lipiv] (lipiv >= n) Pivot indices from zgetrf; for 1 <= i <= n, row i of the matrix was interchanged with row ipiv[i-1].
[in]	ldb	Leading dimension of the two dimensional array b[][]. (ldb >= max(1, n))
[in,out]	b[][]	Array b[lb][ldb] (lb >= nrhs) [in] Right hand side matrix B. [out] Solution matrix X.
[out]	info	= 0: Successful exit = -1: The argument trans had an illegal value (trans != 'N', 'T' nor 'C') = -2: The argument n had an illegal value (n < 0) = -3: The argument nrhs had an illegal value (nrhs < 0) = -4: The argument lda had an illegal value (lda < max(1, n)) = -7: The argument ldb had an illegal value (ldb < max(1, n))