table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlansb.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlansb.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zlansb.f
SYNOPSIS¶
Functions/Subroutines¶
double precision function ZLANSB (norm, uplo, n, k, ab,
ldab, work)
ZLANSB 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.
Function/Subroutine Documentation¶
double precision function ZLANSB (character norm, character uplo, integer n, integer k, complex*16, dimension( ldab, * ) ab, integer ldab, double precision, dimension( * ) work)¶
ZLANSB 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.
Purpose:
!> !> ZLANSB 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. !>
Returns
ZLANSB
!> !> ZLANSB = ( 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 ZLANSB 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 part is supplied !> = 'L': Lower triangular part is supplied !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. When N = 0, ZLANSB 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 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
!> 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.
Definition at line 128 of file zlansb.f.
Author¶
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Version 3.12.0 | LAPACK |