zlaqhe(3) [centos man page]

zlaqhe.f(3)							      LAPACK							       zlaqhe.f(3)

NAME

       zlaqhe.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlaqhe (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED)
	   ZLAQHE scales a Hermitian matrix.

Function/Subroutine Documentation
   subroutine zlaqhe (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double
       precisionSCOND, double precisionAMAX, characterEQUED)
       ZLAQHE scales a Hermitian matrix.

       Purpose:

	    ZLAQHE equilibrates a Hermitian 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
		     Hermitian matrix A is stored.
		     = 'U':  Upper triangular
		     = 'L':  Lower triangular

	   N

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

	   A

		     A is COMPLEX*16 array, dimension (LDA,N)
		     On entry, the Hermitian 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

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

	   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		     = 'Y':  Equilibration was done, i.e., A has been replaced by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 135 of file zlaqhe.f.

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

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

Check Out this Related Man Page

ZLAQHE(l)								 )								 ZLAQHE(l)

NAME

       ZLAQHE - equilibrate a Hermitian matrix A using the scaling factors in the vector S

SYNOPSIS

       SUBROUTINE ZLAQHE( 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

       ZLAQHE equilibrates a Hermitian 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 Hermitian 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 Hermitian 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 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 							 ZLAQHE(l)

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zlaqhe(3) [centos man page]

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