A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1]
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Year: 2010
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 4 : pp. 314–320
Abstract
In this paper, we introduce a piecewise modified matrix Padé-type approximation of hybrid order in the interval [0, 1]. It yields highly accurate results and exact values at some given points. The accuracy of this approximation increases as the order or the node increases. This method can be applied to approximate the exponential function. The explicit formula for computing the matrix exponential is presented. A numerical example is given to illustrate the effectiveness of this method.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22706
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 4 : pp. 314–320
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 7