.TH CGESC2 1 "November 2006" " LAPACK auxiliary routine (version 3.1) " " LAPACK auxiliary routine (version 3.1) " .SH NAME CGESC2 - 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 CGETC2 .SH SYNOPSIS .TP 19 SUBROUTINE CGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE ) .TP 19 .ti +4 INTEGER LDA, N .TP 19 .ti +4 REAL SCALE .TP 19 .ti +4 INTEGER IPIV( * ), JPIV( * ) .TP 19 .ti +4 COMPLEX A( LDA, * ), RHS( * ) .SH PURPOSE CGESC2 solves a system of linear equations .SH ARGUMENTS .TP 8 N (input) INTEGER The number of columns of the matrix A. .TP 8 A (input) COMPLEX array, dimension (LDA, N) On entry, the LU part of the factorization of the n-by-n matrix A computed by CGETC2: A = P * L * U * Q .TP 8 LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1, N). .TP 8 RHS (input/output) COMPLEX array, dimension N. On entry, the right hand side vector b. On exit, the solution vector X. .TP 8 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). .TP 8 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). .TP 9 SCALE (output) REAL On exit, SCALE contains the scale factor. SCALE is chosen 0 <= SCALE <= 1 to prevent owerflow in the solution. .SH FURTHER DETAILS Based on contributions by .br Bo Kagstrom and Peter Poromaa, Department of Computing Science, Umea University, S-901 87 Umea, Sweden. .br