claqhb man page on IRIX

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CLAQHB(3F)							    CLAQHB(3F)

NAME
     CLAQHB - equilibrate a symmetric band matrix A using the scaling factors
     in the vector S

SYNOPSIS
     SUBROUTINE CLAQHB( UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED )

	 CHARACTER	EQUED, UPLO

	 INTEGER	KD, LDAB, N

	 REAL		AMAX, SCOND

	 REAL		S( * )

	 COMPLEX	AB( LDAB, * )

PURPOSE
     CLAQHB equilibrates a symmetric band matrix A using the scaling factors
     in the vector S.

ARGUMENTS
     UPLO    (input) CHARACTER*1
	     Specifies whether the upper or lower triangular part of the
	     symmetric matrix A is stored.  = 'U':  Upper triangular
	     = 'L':  Lower triangular

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

     KD	     (input) INTEGER
	     The number of super-diagonals of the matrix A if UPLO = 'U', or
	     the number of sub-diagonals if UPLO = 'L'.	 KD >= 0.

     AB	     (input/output) COMPLEX array, dimension (LDAB,N)
	     On entry, the upper or lower triangle of the symmetric band
	     matrix A, stored in the first KD+1 rows of the array.  The j-th
	     column of A is stored in the j-th column of the array AB as
	     follows:  if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-
	     kd)<=i<=j; if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for
	     j<=i<=min(n,j+kd).

	     On exit, if INFO = 0, the triangular factor U or L from the
	     Cholesky factorization A = U'*U or A = L*L' of the band matrix A,
	     in the same storage format as A.

     LDAB    (input) INTEGER
	     The leading dimension of the array AB.  LDAB >= KD+1.

									Page 1

CLAQHB(3F)							    CLAQHB(3F)

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

     SCOND   (input) REAL
	     Ratio of the smallest S(i) to the largest S(i).

     AMAX    (input) REAL
	     Absolute value of largest matrix entry.

     EQUED   (output) CHARACTER*1
	     Specifies whether or not equilibration was done.  = 'N':  No
	     equilibration.
	     = 'Y':  Equilibration was done, i.e., A has been replaced by
	     diag(S) * A * diag(S).

PARAMETERS
     THRESH is a threshold value used to decide if scaling should be done
     based on the ratio of the scaling factors.	 If SCOND < THRESH, scaling is
     done.

     LARGE and SMALL are threshold values used to decide if scaling should be
     done based on the absolute size of the largest matrix element.  If AMAX >
     LARGE or AMAX < SMALL, scaling is done.

									Page 2

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