zlaqsp(l) [redhat man page]

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	       = 'Y':  Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).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

zlaqsp.f(3)							      LAPACK							       zlaqsp.f(3)

NAME

       zlaqsp.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED)
	   ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ.

Function/Subroutine Documentation
   subroutine zlaqsp (characterUPLO, integerN, complex*16, dimension( * )AP, double precision, dimension( * )S, double precisionSCOND, double
       precisionAMAX, characterEQUED)
       ZLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ.

       Purpose:

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

       Parameters:
	   UPLO

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

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   AP

		     AP is 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 format as A.

	   S

		     S is DOUBLE PRECISION array, dimension (N)
		     The scale factors for A.

	   SCOND

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

	   AMAX

		     AMAX is DOUBLE PRECISION
		     Absolute value of largest matrix entry.

	   EQUED

		     EQUED is 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).

       Internal 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 127 of file zlaqsp.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zlaqsp.f(3)