
clanhb.f(3) LAPACK clanhb.f(3)
NAME
clanhb.f 
SYNOPSIS
Functions/Subroutines
REAL function clanhb (NORM, UPLO, N, K, AB, LDAB, WORK)
CLANHB returns the value of the 1norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of a Hermitian band matrix.
Function/Subroutine Documentation
REAL function clanhb (characterNORM, characterUPLO, integerN, integerK, complex, dimension(
ldab, * )AB, integerLDAB, real, dimension( * )WORK)
CLANHB returns the value of the 1norm, or the Frobenius norm, or the infinity norm, or
the element of largest absolute value of a Hermitian band matrix.
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 superdiagonals.
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 superdiagonals or subdiagonals 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 jth column of A is
stored in the jth column of the array AB as follows:
if UPLO = 'U', AB(k+1+ij,j) = A(i,j) for max(1,jk)<=i<=j;
if UPLO = 'L', AB(1+ij,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:
September 2012
Definition at line 132 of file clanhb.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 clanhb.f(3) 
