NAME
claqhe - equilibrate a Hermitian matrix A using the scaling
factors in the vector S
SYNOPSIS
SUBROUTINE CLAQHE( UPLO, N, A, LDA, S, SCOND, AMAX, EQUED )
CHARACTER EQUED, UPLO
INTEGER LDA, N
REAL AMAX, SCOND
REAL S( * )
COMPLEX A( LDA, * )
#include <sunperf.h>
void claqhe(char uplo, int n, complex *ca, int lda, float
*s, float scond, float amax, char *equed);
PURPOSE
CLAQHE 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 array, dimension (LDA,N)
On entry, the Hermitian matrix A. If UPLO = 'U',
the leading n by n upper triangular part of A con-
tains 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 tri-
angular 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) 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= 'Y': Equilibration was done, i.e., A has been
replaced by diag(S) * A * diag(S).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.
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