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| 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)
Function/Subroutine Documentation¶
subroutine slaqge (integerM, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, characterEQUED)¶
SLAQGE Purpose:SLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C.
M
 
N
 
A
 
LDA
 
R
 
C
 
ROWCND
 
COLCND
 
AMAX
 
EQUED
 
Internal Parameters: 
          M is INTEGER
          The number of rows of the matrix A.  M >= 0.
          N is INTEGER
          The number of columns of the matrix A.  N >= 0.
          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 is INTEGER
          The leading dimension of the array A.  LDA >= max(M,1).
          R is REAL array, dimension (M)
          The row scale factors for A.
          C is REAL array, dimension (N)
          The column scale factors for A.
          ROWCND is REAL
          Ratio of the smallest R(i) to the largest R(i).
          COLCND is REAL
          Ratio of the smallest C(i) to the largest C(i).
          AMAX is REAL
          Absolute value of largest matrix entry.
          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          = 'B':  Both row and column equilibration, i.e., A has been
                  replaced by diag(R) * A * diag(C).
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.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Author¶
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