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RedHat 9 (Linux i386) - man page for zlaqge (redhat section l)

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 postmultiplied 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	       row and column equilibration, i.e., A has been replaced by diag(R) * A * diag(C).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)


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