ZGESC2 - Online Linux Manual PageSection : 1
Updated : November 2008
Source : LAPACK auxiliary routine (version 3.2)
Note : LAPACK auxiliary routine (version 3.2)

NAMEZGESC2 - 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 ZGETC2

SYNOPSISSUBROUTINE ZGESC2(  N, A, LDA, RHS, IPIV, JPIV, SCALE )  INTEGER LDA, N  DOUBLE PRECISION SCALE  INTEGER IPIV( * ), JPIV( * )  COMPLEX*16 A( LDA, * ), RHS( * )

PURPOSEZGESC2 solves a system of linear equations

ARGUMENTSN (input) INTEGER  The number of columns of the matrix A. A (input) COMPLEX*16 array, dimension (LDA, N)  On entry, the LU part of the factorization of the n-by-n matrix A computed by ZGETC2: A = P * L * U * Q LDA (input) INTEGER  The leading dimension of the array A. LDA >= max(1, N). RHS (input/output) COMPLEX*16 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) DOUBLE PRECISION  On exit, SCALE contains the scale factor. SCALE is chosen 0 <= SCALE <= 1 to prevent owerflow in the solution.

FURTHER DETAILSBased on contributions by

   Bo Kagstrom and Peter Poromaa, Department of Computing Science,
   Umea University, S-901 87 Umea, Sweden.
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Johanes Gumabo
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