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

ZLAQSP(l)					)					ZLAQSP(l)

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

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

	   CHARACTER	  EQUED, UPLO

	   INTEGER	  N

	   DOUBLE	  PRECISION AMAX, SCOND

	   DOUBLE	  PRECISION S( * )

	   COMPLEX*16	  AP( * )

PURPOSE
       ZLAQSP 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) COMPLEX*16 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) DOUBLE PRECISION array, dimension (N)
	       The scale factors for A.

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

       AMAX    (input) DOUBLE PRECISION
	       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	       = 'Y':  Equilibration was done, i.e., A	has  been  replaced  by  diag(S)  *  A	*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 				ZLAQSP(l)


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