clanhb.f(3) [debian man page]

clanhb.f(3)							      LAPACK							       clanhb.f(3)

NAME

       clanhb.f -

SYNOPSIS

   Functions/Subroutines
       REAL function clanhb (NORM, UPLO, N, K, AB, LDAB, WORK)
	   CLANHB

Function/Subroutine Documentation
   REAL function clanhb (characterNORM, characterUPLO, integerN, integerK, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )WORK)
       CLANHB

       Purpose:

	    CLANHB  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:
	   CLANHB

	       CLANHB = ( 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 CLANHB 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, CLANHB 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 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 REAL 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:
	   November 2011

       Definition at line 132 of file clanhb.f.

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

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