# slaqge(3) [centos man page]

```slaqge.f(3)							      LAPACK							       slaqge.f(3)

NAME
slaqge.f -

SYNOPSIS
Functions/Subroutines
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.

Function/Subroutine Documentation
subroutine slaqge (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND,
realCOLCND, realAMAX, characterEQUED)
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= 'B':  Both row and column equilibration, i.e., A has been
replaced by diag(R) * A * diag(C).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

NAG Ltd.

Date:
September 2012

Definition at line 142 of file slaqge.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slaqge.f(3)```

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```claqge.f(3)							      LAPACK							       claqge.f(3)

NAME
claqge.f -

SYNOPSIS
Functions/Subroutines
subroutine claqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED)
CLAQGE

Function/Subroutine Documentation
subroutine claqge (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND,
realCOLCND, realAMAX, characterEQUED)
CLAQGE

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