debian man page for zlaqhb

zlaqhb.f(3)							      LAPACK							       zlaqhb.f(3)

NAME
       zlaqhb.f -

SYNOPSIS
   Functions/Subroutines
       subroutine zlaqhb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED)
	   ZLAQHB

Function/Subroutine Documentation
   subroutine zlaqhb (characterUPLO, integerN, integerKD, complex*16, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )S,
       double precisionSCOND, double precisionAMAX, characterEQUED)
       ZLAQHB

       Purpose:

	    ZLAQHB equilibrates a Hermitian band matrix A
	    using the scaling factors in the vector S.

       Parameters:
	   UPLO

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

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   KD

		     KD is 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

		     AB is COMPLEX*16 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**H *U or A = L*L**H of the band
		     matrix A, in the same storage format as A.

	   LDAB

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= KD+1.

	   S

		     S is DOUBLE PRECISION array, dimension (N)
		     The scale factors for A.

	   SCOND

		     SCOND is DOUBLE PRECISION
		     Ratio of the smallest S(i) to the largest S(i).

	   AMAX

		     AMAX is DOUBLE PRECISION
		     Absolute value of largest matrix entry.

	   EQUED

		     EQUED is 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		     = 'Y':  Equilibration was done, i.e., A has been replaced by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).

       Internal 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 142 of file zlaqhb.f.

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

Version 3.4.1							  Sun May 26 2013						       zlaqhb.f(3)