Some applications of the Hermite matrix polynomials series expansions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:99

Article

Defez, E ; Jodar, L

关键词: Hermite matrix polynomials;    matrix functions;    differential systems;    approximate solutions;    error bounds;    Sylvester equation;   

DOI  :  10.1016/S0377-0427(98)00149-6

来源: Elsevier

【 摘 要 】

This paper deals with Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. Properties of Hermite matrix polynomials such as the three terms recurrence formula permit an efficient computation of matrix functions avoiding important computational drawbacks of other well-known methods. Results are applied to compute accurate approximations of certain differential systems in terms of Hermite matrix polynomials. (C) 1998 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free