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slaqge

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		     = 'B':  Both row and column equilibration, i.e., A has been
			     replaced by diag(R) * A * diag(C).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

	   Univ. of Colorado Denver

	   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)