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slaqgb.f(3)				      LAPACK				      slaqgb.f(3)

NAME
       slaqgb.f -

SYNOPSIS
   Functions/Subroutines
       subroutine slaqgb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED)
	   SLAQGB scales a general band matrix, using row and column scaling factors computed by
	   sgbequ.

Function/Subroutine Documentation
   subroutine slaqgb (integerM, integerN, integerKL, integerKU, real, dimension( ldab, * )AB,
       integerLDAB, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND,
       realAMAX, characterEQUED)
       SLAQGB scales a general band matrix, using row and column scaling factors computed by
       sgbequ.

       Purpose:

	    SLAQGB equilibrates a general M by N band matrix A with KL
	    subdiagonals and KU superdiagonals using the row and 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.

	   KL

		     KL is INTEGER
		     The number of subdiagonals within the band of A.  KL >= 0.

	   KU

		     KU is INTEGER
		     The number of superdiagonals within the band of A.  KU >= 0.

	   AB

		     AB is REAL array, dimension (LDAB,N)
		     On entry, the matrix A in band storage, in rows 1 to KL+KU+1.
		     The j-th column of A is stored in the j-th column of the
		     array AB as follows:
		     AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl)

		     On exit, the equilibrated matrix, in the same storage format
		     as A.  See EQUED for the form of the equilibrated matrix.

	   LDAB

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDA >= KL+KU+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 159 of file slaqgb.f.

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

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