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CGESC2(3S)							    CGESC2(3S)

NAME
     CGESC2 - 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 CGETC2

SYNOPSIS
     SUBROUTINE CGESC2( N, A, LDA, RHS, IPIV, JPIV, SCALE )

	 INTEGER	LDA, N

	 REAL		SCALE

	 INTEGER	IPIV( * ), JPIV( * )

	 COMPLEX	A( LDA, * ), RHS( * )

IMPLEMENTATION
     These routines are part of the SCSL Scientific Library and can be loaded
     using either the -lscs or the -lscs_mp option.  The -lscs_mp option
     directs the linker to use the multi-processor version of the library.

     When linking to SCSL with -lscs or -lscs_mp, the default integer size is
     4 bytes (32 bits). Another version of SCSL is available in which integers
     are 8 bytes (64 bits).  This version allows the user access to larger
     memory sizes and helps when porting legacy Cray codes.  It can be loaded
     by using the -lscs_i8 option or the -lscs_i8_mp option. A program may use
     only one of the two versions; 4-byte integer and 8-byte integer library
     calls cannot be mixed.

PURPOSE
     CGESC2 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 CGETC2.

ARGUMENTS
     N	     (input) INTEGER
	     The number of columns of the matrix A.

     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

     LDA     (input) INTEGER
	     The leading dimension of the array A.  LDA >= max(1, N).

     RHS     (input/output) COMPLEX array, dimension N.
	     On entry, the right hand side vector b.  On exit, the solution
	     vector X.

									Page 1

CGESC2(3S)							    CGESC2(3S)

     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.

SEE ALSO
     INTRO_LAPACK(3S), INTRO_SCSL(3S)

     This man page is available only online.

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