claqgb man page on IRIX

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CLAQGB(3F)							    CLAQGB(3F)

NAME
     CLAQGB - equilibrate 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

SYNOPSIS
     SUBROUTINE CLAQGB( M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX,
			EQUED )

	 CHARACTER	EQUED

	 INTEGER	KL, KU, LDAB, M, N

	 REAL		AMAX, COLCND, ROWCND

	 REAL		C( * ), R( * )

	 COMPLEX	AB( LDAB, * )

PURPOSE
     CLAQGB 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.

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.

     KL	     (input) INTEGER
	     The number of subdiagonals within the band of A.  KL >= 0.

     KU	     (input) INTEGER
	     The number of superdiagonals within the band of A.	 KU >= 0.

     AB	     (input/output) COMPLEX 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    (input) INTEGER
	     The leading dimension of the array AB.  LDA >= KL+KU+1.

									Page 1

CLAQGB(3F)							    CLAQGB(3F)

     R	     (output) REAL array, dimension (M)
	     The row scale factors for A.

     C	     (output) REAL array, dimension (N)
	     The column scale factors for A.

     ROWCND  (output) REAL
	     Ratio of the smallest R(i) to the largest R(i).

     COLCND  (output) REAL
	     Ratio of the smallest C(i) to the largest C(i).

     AMAX    (input) REAL
	     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	     equilibration, i.e., A has been replaced by diag(R) * A *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.

									Page 2

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