slansb.f(3) LAPACK slansb.f(3)
REAL function slansb (NORM, UPLO, N, K, AB, LDAB, WORK)
SLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,
or the element of largest absolute value of a symmetric band matrix.
REAL function slansb (characterNORM, characterUPLO, integerN, integerK, real, dimension( ldab,
* )AB, integerLDAB, real, dimension( * )WORK)
SLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or
the element of largest absolute value of a symmetric band matrix.
SLANSB 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 symmetric band matrix A, with k super-diagonals.
SLANSB = ( 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 SLANSB as described
UPLO is CHARACTER*1
Specifies whether the upper or lower triangular part of the
band matrix A is supplied.
= 'U': Upper triangular part is supplied
= 'L': Lower triangular part is supplied
N is INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANSB is
set to zero.
K is INTEGER
The number of super-diagonals or sub-diagonals of the
band matrix A. K >= 0.
AB is REAL array, dimension (LDAB,N)
The upper or lower triangle of the symmetric 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).
LDAB is INTEGER
The leading dimension of the array AB. LDAB >= K+1.
WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,
WORK is not referenced.
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
Definition at line 129 of file slansb.f.
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 slansb.f(3)