claqhp.f(3) [debian man page]

claqhp.f(3)							      LAPACK							       claqhp.f(3)

NAME

       claqhp.f -

SYNOPSIS

   Functions/Subroutines
       subroutine claqhp (UPLO, N, AP, S, SCOND, AMAX, EQUED)
	   CLAQHP

Function/Subroutine Documentation
   subroutine claqhp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)
       CLAQHP

       Purpose:

	    CLAQHP 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.

	   AP

		     AP is COMPLEX array, dimension (N*(N+1)/2)
		     On entry, the upper or lower triangle of the Hermitian 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 REAL array, dimension (N)
		     The scale factors for A.

	   SCOND

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

	   AMAX

		     AMAX is REAL
		     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		     = 'Y':  Equilibration was done, i.e., A has been replaced by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:
	   November 2011

       Definition at line 127 of file claqhp.f.

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

Version 3.4.1							  Sun May 26 2013						       claqhp.f(3)

Check Out this Related Man Page

CLAQHP(l)								 )								 CLAQHP(l)

NAME

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

SYNOPSIS

       SUBROUTINE CLAQHP( UPLO, N, AP, S, SCOND, AMAX, EQUED )

	   CHARACTER	  EQUED, UPLO

	   INTEGER	  N

	   REAL 	  AMAX, SCOND

	   REAL 	  S( * )

	   COMPLEX	  AP( * )

PURPOSE

       CLAQHP 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.

       AP      (input/output) COMPLEX array, dimension (N*(N+1)/2)
	       On  entry,  the	upper  or  lower triangle of the Hermitian 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) 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 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 							 CLAQHP(l)

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