zlaqge(l) [redhat man page]

ZLAQGE(l)								 )								 ZLAQGE(l)

NAME

       ZLAQGE - equilibrate a general M by N matrix A using the row and scaling factors in the vectors R and C

SYNOPSIS

       SUBROUTINE ZLAQGE( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED )

	   CHARACTER	  EQUED

	   INTEGER	  LDA, M, N

	   DOUBLE	  PRECISION AMAX, COLCND, ROWCND

	   DOUBLE	  PRECISION C( * ), R( * )

	   COMPLEX*16	  A( LDA, * )

PURPOSE

       ZLAQGE equilibrates a general M by N matrix A using the row and scaling factors in the vectors R and C.

ARGUMENTS

       M       (input) INTEGER
	       The number of rows of the matrix A.  M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix A.  N >= 0.

       A       (input/output) 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     (input) INTEGER
	       The leading dimension of the array A.  LDA >= max(M,1).

       R       (input) DOUBLE PRECISION array, dimension (M)
	       The row scale factors for A.

       C       (input) DOUBLE PRECISION array, dimension (N)
	       The column scale factors for A.

       ROWCND  (input) DOUBLE PRECISION
	       Ratio of the smallest R(i) to the largest R(i).

       COLCND  (input) DOUBLE PRECISION
	       Ratio of the smallest C(i) to the largest C(i).

       AMAX    (input) DOUBLE PRECISION
	       Absolute value of largest matrix entry.

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  = 'B':  Both row and column equilibration, i.e., A has been replaced by diag(R) * A * diag(C).

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.

LAPACK version 3.0						   15 June 2000 							 ZLAQGE(l)

zlaqge.f(3)							      LAPACK							       zlaqge.f(3)

NAME

       zlaqge.f -

SYNOPSIS

   Functions/Subroutines
       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.

Function/Subroutine Documentation
   subroutine zlaqge (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision,
       dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, characterEQUED)
       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.

       Date:
	   September 2012

       Definition at line 143 of file zlaqge.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zlaqge.f(3)