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An effective recursive formula for the Frobenius covariants in matrix functions

100%

Schäfer F.

Special Matrices

2017

tom 5

nr 1

113-122

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.

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1 Special Matrices

1 Schäfer F.

1 2017

Wyniki wyszukiwania

An effective recursive formula for the Frobenius covariants in matrix functions