DGESC2(l)								 )								 DGESC2(l)

NAME

       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 factorization with complete  piv-
       oting 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.

FURTHER DETAILS

       Based on contributions by
	  Bo Kagstrom and Peter Poromaa, Department of Computing Science,
	  Umea University, S-901 87 Umea, Sweden.

LAPACK version 3.0						   15 June 2000 							 DGESC2(l)