table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/clantb.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/clantb.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/clantb.f
SYNOPSIS¶
Functions/Subroutines¶
real function CLANTB (norm, uplo, diag, n, k, ab, ldab,
work)
CLANTB returns the value of the 1-norm, or the Frobenius norm, or the
infinity norm, or the element of largest absolute value of a triangular band
matrix.
Function/Subroutine Documentation¶
real function CLANTB (character norm, character uplo, character diag, integer n, integer k, complex, dimension( ldab, * ) ab, integer ldab, real, dimension( * ) work)¶
CLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular band matrix.
Purpose:
!> !> CLANTB 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 triangular band matrix A, with ( k + 1 ) diagonals. !>
Returns
CLANTB
!> !> CLANTB = ( 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 CLANTB as described !> above. !>
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the matrix A is upper or lower triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
DIAG
!> DIAG is CHARACTER*1 !> Specifies whether or not the matrix A is unit triangular. !> = 'N': Non-unit triangular !> = 'U': Unit triangular !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. When N = 0, CLANTB is !> set to zero. !>
K
!> K is INTEGER !> The number of super-diagonals of the matrix A if UPLO = 'U', !> or the number of sub-diagonals of the matrix A if UPLO = 'L'. !> K >= 0. !>
AB
!> AB is COMPLEX array, dimension (LDAB,N) !> The upper or lower triangular 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 when DIAG = 'U', the elements of the array AB !> corresponding to the diagonal elements of the matrix A are !> not referenced, but are assumed to be one. !>
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'; otherwise, WORK is not !> referenced. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 139 of file clantb.f.
Author¶
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Version 3.12.0 | LAPACK |