dlaqsy man page on Scientific

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DLAQSY(1)	    LAPACK auxiliary routine (version 3.2)	     DLAQSY(1)

NAME
DLAQSY - equilibrates a symmetric matrix A using the scaling factors in
the vector S

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

CHARACTER	  EQUED, UPLO

INTEGER	  LDA, N

DOUBLE	  PRECISION AMAX, SCOND

DOUBLE	  PRECISION A( LDA, * ), S( * )

PURPOSE
DLAQSY 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) DOUBLE PRECISION array, dimension (LDA,N)
On entry, the symmetric matrix A.  If UPLO = 'U', the leading n
by  n  upper triangular 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= 'Y':  Equilibration was done, i.e., A has  been  replaced  by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 scal‐
ing should be done based on the absolute size  of  the  largest	matrix
element.	 If AMAX > LARGE or AMAX < SMALL, scaling is done.

LAPACK auxiliary routine (versioNovember 2008			     DLAQSY(1)
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