Some applications of the Hermite matrix polynomials series expansions 1
نویسنده
چکیده
This paper deals with Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of di erential systems. Properties of Hermite matrix polynomials such as the three terms recurrence formula permit an e cient computation of matrix functions avoiding important computational drawbacks of other well-known methods. Results are applied to compute accurate approximations of certain di erential systems in terms of Hermite matrix polynomials. c © 1998 Elsevier Science B.V. All rights reserved. AMS classi cation: 15A60; 33C25; 34A50; 41A10
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