CXML
        	    
LAPACK version 3.0
zlaqge(3)

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

SYNTAX
  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, * )

DESCRIPTION
  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	  equilibration, i.e., A has been replaced by diag(R) * A * diag(C).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.