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zlanhb.f(3)				      LAPACK				      zlanhb.f(3)

NAME
       zlanhb.f -

SYNOPSIS
   Functions/Subroutines
       DOUBLE PRECISION function zlanhb (NORM, UPLO, N, K, AB, LDAB, WORK)
	   ZLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
	   or the element of largest absolute value of a Hermitian band matrix.

Function/Subroutine Documentation
   DOUBLE PRECISION function zlanhb (characterNORM, characterUPLO, integerN, integerK,
       complex*16, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )WORK)
       ZLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or
       the element of largest absolute value of a Hermitian band matrix.

       Purpose:

	    ZLANHB  returns the value of the one norm,	or the Frobenius norm, or
	    the  infinity norm,  or the element of  largest absolute value  of an
	    n by n hermitian band matrix A,  with k super-diagonals.

       Returns:
	   ZLANHB

	       ZLANHB = ( max(abs(A(i,j))), NORM = 'M' or 'm'
			(
			( norm1(A),	    NORM = '1', 'O' or 'o'
			(
			( normI(A),	    NORM = 'I' or 'i'
			(
			( normF(A),	    NORM = 'F', 'f', 'E' or 'e'

	    where  norm1  denotes the  one norm of a matrix (maximum column sum),
	    normI  denotes the	infinity norm  of a matrix  (maximum row sum) and
	    normF  denotes the	Frobenius norm of a matrix (square root of sum of
	    squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.

       Parameters:
	   NORM

		     NORM is CHARACTER*1
		     Specifies the value to be returned in ZLANHB as described
		     above.

	   UPLO

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

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.  When N = 0, ZLANHB is
		     set to zero.

	   K

		     K is INTEGER
		     The number of super-diagonals or sub-diagonals of the
		     band matrix A.  K >= 0.

	   AB

		     AB is COMPLEX*16 array, dimension (LDAB,N)
		     The upper or lower triangle of the hermitian band matrix A,
		     stored in the first K+1 rows of AB.  The j-th column of A is
		     stored in the j-th column of the array AB as follows:
		     if UPLO = 'U', AB(k+1+i-j,j) = A(i,j) for max(1,j-k)<=i<=j;
		     if UPLO = 'L', AB(1+i-j,j)   = A(i,j) for j<=i<=min(n,j+k).
		     Note that the imaginary parts of the diagonal elements need
		     not be set and are assumed to be zero.

	   LDAB

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

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
		     where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
		     WORK is not referenced.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 132 of file zlanhb.f.

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

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