dlaqge.f man page

dlaqge.f —

Synopsis

Functions/Subroutines

subroutine dlaqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED)
DLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.

Function/Subroutine Documentation

subroutine dlaqge (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, characterEQUED)

DLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.

Purpose:

DLAQGE equilibrates a general M by N matrix A using the row and
column scaling factors in the vectors R and C.

Parameters:

M

M is INTEGER
The number of rows of the matrix A.  M >= 0.

N

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

A

A is DOUBLE PRECISION array, dimension (LDA,N)
On entry, the M by N matrix A.
On exit, the equilibrated matrix.  See EQUED for the form of
the equilibrated matrix.

LDA

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

R

R is DOUBLE PRECISION array, dimension (M)
The row scale factors for A.

C

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

ROWCND

ROWCND is DOUBLE PRECISION
Ratio of the smallest R(i) to the largest R(i).

COLCND

COLCND is DOUBLE PRECISION
Ratio of the smallest C(i) to the largest C(i).

AMAX

AMAX is DOUBLE PRECISION
Absolute value of largest matrix entry.

EQUED

EQUED is CHARACTER*1
Specifies the form of equilibration that was done.
= 'N':  No equilibration
= 'R':  Row equilibration, i.e., A has been premultiplied by
        diag(R).
= 'C':  Column equilibration, i.e., A has been postmultiplied
        by diag(C).
= 'B':  Both row and column equilibration, i.e., A has been
        replaced by diag(R) * A * diag(C).

Internal Parameters:

THRESH is a threshold value used to decide if row or column scaling
should be done based on the ratio of the row or column scaling
factors.  If ROWCND < THRESH, row scaling is done, and if
COLCND < THRESH, column scaling is done.

LARGE and SMALL are threshold values used to decide if row scaling
should be done based on the absolute size of the largest matrix
element.  If AMAX > LARGE or AMAX < SMALL, row scaling is done.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 142 of file dlaqge.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

dlaqge(3) is an alias of dlaqge.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK