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

ZLAQSY(l)					)					ZLAQSY(l)

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

SYNOPSIS
       SUBROUTINE ZLAQSY( UPLO, N, A, LDA, S, SCOND, AMAX, EQUED )

	   CHARACTER	  EQUED, UPLO

	   INTEGER	  LDA, N

	   DOUBLE	  PRECISION AMAX, SCOND

	   DOUBLE	  PRECISION S( * )

	   COMPLEX*16	  A( LDA, * )

PURPOSE
       ZLAQSY 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.

       A       (input/output) COMPLEX*16 array, dimension (LDA,N)
	       On entry, the symmetric matrix A.  If UPLO = 'U', the leading n by n upper  trian-
	       gular  part  of	A  contains  the  upper  triangular part of the matrix A, and the
	       strictly lower triangular part of A is not referenced.  If UPLO = 'L', the leading
	       n by n lower triangular part of A contains the lower triangular part of the matrix
	       A, and the strictly upper triangular part of A is not referenced.

	       On exit, if EQUED = 'Y', the equilibrated matrix: diag(S) * A * diag(S).

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

       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	       = 'Y':  Equilibration was done, i.e., A	has  been  replaced  by  diag(S)  *  A	*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 				ZLAQSY(l)


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