An effective recursive formula for the Frobenius covariants in matrix functions

• Autorzy: F. Schäfer
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

matrix function; Frobenius covariants; constituent matrices

Kategorie tematyczne

• 15A16: Matrix exponential and similar functions of matrices
• 65F60: Matrix exponential and similar matrix functions

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 113-122

Daty

wydano

2017-01-26

otrzymano

2016-11-02

zaakceptowano

2017-05-31

online

2017-06-29

Twórcy

autor

F. Schäfer

• ,

Identyfikatory

DOI

10.1515/spma-2017-0012