An effective recursive formula for the Frobenius covariants in matrix functions

F. Schäfer. "An effective recursive formula for the Frobenius covariants in matrix functions." Special Matrices 5.1 (2017): 113-122. <http://eudml.org/doc/288541>.

@article{F2017,
abstract = {For theoretical studies, it is helpful to have an explicit expression for a matrix function. Several methods have been used to determine the required Frobenius covariants. This paper presents a recursive formula that calculates these covariants effectively. The new aspect of this method is the simple determination of the occurring coefficients in the covariants. The advantage is shown by several examples for the matrix exponential in comparision with Mathematica. The calculations are performed exactly.},
author = {F. Schäfer},
journal = {Special Matrices},
keywords = {matrix function; Frobenius covariants; constituent matrices},
language = {eng},
number = {1},
pages = {113-122},
title = {An effective recursive formula for the Frobenius covariants in matrix functions},
url = {http://eudml.org/doc/288541},
volume = {5},
year = {2017},
}

TY - JOUR
AU - F. Schäfer
TI - An effective recursive formula for the Frobenius covariants in matrix functions
JO - Special Matrices
PY - 2017
VL - 5
IS - 1
SP - 113
EP - 122
AB - For theoretical studies, it is helpful to have an explicit expression for a matrix function. Several methods have been used to determine the required Frobenius covariants. This paper presents a recursive formula that calculates these covariants effectively. The new aspect of this method is the simple determination of the occurring coefficients in the covariants. The advantage is shown by several examples for the matrix exponential in comparision with Mathematica. The calculations are performed exactly.
LA - eng
KW - matrix function; Frobenius covariants; constituent matrices
UR - http://eudml.org/doc/288541
ER -