table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/slaqge.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/slaqge.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/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 (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.
Definition at line 140 of file slaqge.f.
Author¶
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