man slangt (Fonctions bibliothèques) - return 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

NAME

SLANGT - return 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

SYNOPSIS

REAL FUNCTION
SLANGT( NORM, N, DL, D, DU )
CHARACTER NORM
INTEGER N
REAL D( * ), DL( * ), DU( * )

PURPOSE

SLANGT 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.

DESCRIPTION

SLANGT returns the value

SLANGT = ( 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 matrix norm.

ARGUMENTS

NORM (input) CHARACTER*1
Specifies the value to be returned in SLANGT as described above.
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANGT is set to zero.
DL (input) REAL array, dimension (N-1)
The (n-1) sub-diagonal elements of A.
D (input) REAL array, dimension (N)
The diagonal elements of A.
DU (input) REAL array, dimension (N-1)
The (n-1) super-diagonal elements of A.