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DGESC2(1) LAPACK auxiliary routine (version 3.2) DGESC2(1)

NAME

DGESC2 - 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 DGETC2

SYNOPSIS

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

ARGUMENTS

The order of the matrix A.
On entry, the LU part of the factorization of the n-by-n matrix A computed by DGETC2: A = P * L * U * Q
The leading dimension of the array A. LDA >= max(1, N).
On entry, the right hand side vector b. On exit, the solution vector X.
The pivot indices; for 1 <= i <= N, row i of the matrix has been interchanged with row IPIV(i).
The pivot indices; for 1 <= j <= N, column j of the matrix has been interchanged with column JPIV(j).
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.

November 2008 LAPACK auxiliary routine (version 3.2)