# An effective recursive formula for the Frobenius covariants in matrix functions

Special Matrices (2017)

- Volume: 5, Issue: 1, page 113-122
- ISSN: 2300-7451

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topF. 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 -

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