Provided by: liblapack-doc_3.12.0-3build1.1_all 
NAME
laqge - laqge: row/col scale matrix
SYNOPSIS
Functions
subroutine claqge (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
CLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
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.
subroutine slaqge (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
SLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
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.
Detailed Description
Function Documentation
subroutine claqge (integer m, integer n, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) r,
real, dimension( * ) c, real rowcnd, real colcnd, real amax, character equed)
CLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
Purpose:
CLAQGE 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 COMPLEX 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 REAL array, dimension (M)
The row scale factors for A.
C
C is REAL array, dimension (N)
The column scale factors for A.
ROWCND
ROWCND is REAL
Ratio of the smallest R(i) to the largest R(i).
COLCND
COLCND is REAL
Ratio of the smallest C(i) to the largest C(i).
AMAX
AMAX is REAL
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= 'B': Both row and column equilibration, i.e., A has been
replaced by diag(R) * A * diag(C).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.
subroutine dlaqge (integer m, integer n, double precision, dimension( lda, * ) a, integer lda, double
precision, dimension( * ) r, double precision, dimension( * ) c, double precision rowcnd, double
precision colcnd, double precision amax, character equed)
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.
subroutine slaqge (integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) r,
real, dimension( * ) c, real rowcnd, real colcnd, real amax, character equed)
SLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ.
Purpose:
SLAQGE 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 REAL 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 REAL array, dimension (M)
The row scale factors for A.
C
C is REAL array, dimension (N)
The column scale factors for A.
ROWCND
ROWCND is REAL
Ratio of the smallest R(i) to the largest R(i).
COLCND
COLCND is REAL
Ratio of the smallest C(i) to the largest C(i).
AMAX
AMAX is REAL
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.
subroutine zlaqge (integer m, integer n, complex*16, dimension( lda, * ) a, integer lda, double precision,
dimension( * ) r, double precision, dimension( * ) c, double precision rowcnd, double precision colcnd,
double precision amax, character equed)
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
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 Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Author
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Version 3.12.0 Fri Aug 9 2024 02:33:22 laqge(3)