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

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

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

	   CHARACTER	  EQUED, UPLO

	   INTEGER	  N

	   REAL		  AMAX, SCOND

	   REAL		  S( * )

	   COMPLEX	  AP( * )

PURPOSE
       CLAQSP 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 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  equili‐
	       brated 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	       =  'Y':	 Equilibration	was done, i.e., A has been replaced by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	 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			     CLAQSP(1)
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