subroutine zlaqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED)
ZLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
ZLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
Purpose:
ZLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C.
Parameters:
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 COMPLEX*16 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= 'B': Both row and column equilibration, i.e., A has been
replaced by diag(R) * A * diag(C).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 California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
Definition at line 145 of file zlaqge.f.
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