SGESC2
November 2006
Purpose
SGESC2 solves a system of linear equations
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by SGETC2.
A * X = scale* RHS
with a general N-by-N matrix A using the LU factorization with
complete pivoting computed by SGETC2.
Arguments
| N |
(input) INTEGER
The order of the matrix A.
|
| A |
(input) REAL array, dimension (LDA,N)
On entry, the LU part of the factorization of the n-by-n
matrix A computed by SGETC2: A = P * L * U * Q |
| LDA |
(input) INTEGER
The leading dimension of the array A. LDA >= max(1, N).
|
| RHS |
(input/output) REAL array, dimension (N).
On entry, the right hand side vector b.
On exit, the solution vector X. |
| IPIV |
(input) INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i). |
| JPIV |
(input) INTEGER array, dimension (N).
The pivot indices; for 1 <= j <= N, column j of the
matrix has been interchanged with column JPIV(j). |
| SCALE |
(output) REAL
On exit, SCALE contains the scale factor. SCALE is chosen
0 <= SCALE <= 1 to prevent owerflow in the solution. |
Further Details
Based on contributions by
Bo Kagstrom and Peter Poromaa, Department of Computing Science,
Umea University, S-901 87 Umea, Sweden.
Bo Kagstrom and Peter Poromaa, Department of Computing Science,
Umea University, S-901 87 Umea, Sweden.