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dlaqsy.f(3) LAPACK dlaqsy.f(3)

NAME

dlaqsy.f -

SYNOPSIS

Functions/Subroutines


subroutine dlaqsy (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED)
 
DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ.

Function/Subroutine Documentation

subroutine dlaqsy (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, characterEQUED)

DLAQSY scales a symmetric/Hermitian matrix, using scaling factors computed by spoequ.
Purpose:
 DLAQSY 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.
A
          A is DOUBLE PRECISION array, dimension (LDA,N)
          On entry, the symmetric 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          = 'Y':  Equilibration was done, i.e., A has been replaced by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 134 of file dlaqsy.f.

Author

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