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Start Over Subject matrix differential equation

1. A fixed point method to compute solvents of matrix polynomials

Creator:
Marcos, Fernando and Pereira, Edgar
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
fixed point method, matrix polynomial, and matrix differential equation
Language:
English
Description:
Matrix polynomials play an important role in the theory of matrix differential equations. We develop a fixed point method to compute solutions of matrix polynomials equations, where the matricial elements of the matrix polynomial are considered separately as complex polynomials. Numerical examples illustrate the method presented.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Some relations on Humbert matrix polynomials

Creator:
Shehata, Ayman
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
hypergeometric matrix function, Humbert matrix polynomials, matrix functional calculus, generating matrix function, and matrix differential equation
Language:
English
Description:
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix polynomials also of two, three and several index are derived.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public