NAME¶

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

SYNOPSIS¶

SUBROUTINE SGESC2(

N, A, LDA, RHS, IPIV, JPIV, SCALE )

INTEGER LDA, N REAL SCALE INTEGER IPIV( * ), JPIV( * ) REAL A( LDA, * ), RHS( * )

PURPOSE¶

SGESC2 solves a system of linear equations

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.