DGESC2 - solve 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 DGETC2
SYNOPSIS
SUBROUTINE DGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )
INTEGER LDA, N
DOUBLE PRECISION SCALE
INTEGER IPIV( * ), JPIV( * )
DOUBLE PRECISION A( LDA, * ), RHS( * )
PURPOSE
DGESC2 solves a system of linear equations A * X = scale*
RHS with a general N-by-N matrix A using the LU factoriza
tion with complete pivoting computed by DGETC2.
ARGUMENTS
N (input) INTEGER
The order of the matrix A.
A (input) DOUBLE PRECISION array, dimension (LDA,N)
On entry, the LU part of the factorization of the
n-by-n matrix A computed by DGETC2: A = P * L * U
* Q
LDA (input) INTEGER
The leading dimension of the array A. LDA >=
max(1, N).
RHS (input/output) DOUBLE PRECISION array, dimension
(N).
On entry, the right hand side vector b. On exit,
the solution vector X.
IPIV (iput) INTEGER array, dimension (N).
The pivot indices; for 1 <= i <= N, row i of the
matrix has been interchanged with row IPIV(i).
JPIV (iput) 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) DOUBLE PRECISION
On exit, SCALE contains the scale factor. SCALE
is chosen 0 <= SCALE <= 1 to prevent owerflow in
the solution.
Based on contributions by
Bo Kagstrom and Peter Poromaa, Department of Computing
Science,
Umea University, S-901 87 Umea, Sweden.
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