clangb.f(3) LAPACK clangb.f(3)NAME
REAL function clangb (NORM, N, KL, KU, AB, LDAB, WORK)
CLANGB returns the value of the 1-norm, Frobenius norm, infinity-
norm, or the largest absolute value of any element of general band
REAL function clangb (characterNORM, integerN, integerKL, integerKU,
complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )WORK)
CLANGB returns the value of the 1-norm, Frobenius norm, infinity-norm,
or the largest absolute value of any element of general band matrix.
CLANGB 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 band matrix A, with kl sub-diagonals and ku super-diagonals.
CLANGB = ( 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.
NORM is CHARACTER*1
Specifies the value to be returned in CLANGB as described
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANGB is
set to zero.
KL is INTEGER
The number of sub-diagonals of the matrix A. KL >= 0.
KU is INTEGER
The number of super-diagonals of the matrix A. KU >= 0.
AB is COMPLEX array, dimension (LDAB,N)
The band matrix A, stored in rows 1 to KL+KU+1. The j-th
column of A is stored in the j-th column of the array AB as
AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl).
LDAB is INTEGER
The leading dimension of the array AB. LDAB >= KL+KU+1.
WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = 'I'; otherwise, WORK is not
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
Definition at line 125 of file clangb.f.
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 clangb.f(3)