dlangt.f3
Usage
Functions/Subroutines
double precision function dlangt (norm, n, dl, d, du)
DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Function/Subroutine Documentation
double precision function dlangt (character norm, integer n, double precision, dimension( * ) dl, double precision, dimension( * ) d, double precision, dimension( * ) du)
DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
Purpose:
!> !> DLANGT returns the value of the one norm, or the Frobenius norm, or !> the infinity norm, or the element of largest absolute value of a !> real tridiagonal matrix A. !>
Returns
DLANGT
!> !> DLANGT = ( 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 DLANGT as described !> above. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. When N = 0, DLANGT is !> set to zero. !>
DL
!> DL is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) sub-diagonal elements of A. !>
D
!> D is DOUBLE PRECISION array, dimension (N) !> The diagonal elements of A. !>
DU
!> DU is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) super-diagonal elements of A. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 105 of file dlangt.f.
Releases
4 releases since Debian 7 (Wheezy); the text changed 3 times.