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RedHat 9 (Linux i386) - man page for slaqsp (redhat section l)

SLAQSP(l)					)					SLAQSP(l)

NAME
       SLAQSP - equilibrate a symmetric matrix A using the scaling factors in the vector S

SYNOPSIS
       SUBROUTINE SLAQSP( UPLO, N, AP, S, SCOND, AMAX, EQUED )

	   CHARACTER	  EQUED, UPLO

	   INTEGER	  N

	   REAL 	  AMAX, SCOND

	   REAL 	  AP( * ), S( * )

PURPOSE
       SLAQSP equilibrates a symmetric matrix A using the scaling factors in the vector S.

ARGUMENTS
       UPLO    (input) CHARACTER*1
	       Specifies  whether the upper or lower triangular part of the symmetric matrix A is
	       stored.	= 'U':	Upper triangular
	       = 'L':  Lower triangular

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       AP      (input/output) REAL array, dimension (N*(N+1)/2)
	       On entry, the upper or lower triangle of the symmetric matrix A, packed columnwise
	       in  a linear array.  The j-th column of A is stored in the array AP as follows: if
	       UPLO = 'U', AP(i + (j-1)*j/2) =	A(i,j)	for  1<=i<=j;  if  UPLO  =  'L',  AP(i	+
	       (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.

	       On exit, the equilibrated matrix:  diag(S) * A * diag(S), in the same storage for-
	       mat as A.

       S       (input) REAL array, dimension (N)
	       The scale factors for A.

       SCOND   (input) REAL
	       Ratio of the smallest S(i) to the largest S(i).

       AMAX    (input) REAL
	       Absolute value of largest matrix entry.

       EQUED   (output) CHARACTER*1
	       Specifies whether or not equilibration was done.  = 'N':  No equilibration.
	       = 'Y':  Equilibration was done, i.e., A	has  been  replaced  by  diag(S)  *  A	*
	       diag(S).

PARAMETERS
       THRESH is a threshold value used to decide if scaling should be done based on the ratio of
       the scaling factors.  If SCOND < THRESH, scaling is done.

       LARGE and SMALL are threshold values used to decide if scaling should be done based on the
       absolute  size of the largest matrix element.  If AMAX > LARGE or AMAX < SMALL, scaling is
       done.

LAPACK version 3.0			   15 June 2000 				SLAQSP(l)


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