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Volume 5, Issue 4
A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1]

Beibei Wu

J. Info. Comput. Sci. , 5 (2010), pp. 314-320.

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  • 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.
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@Article{JICS-5-314, author = {Beibei Wu}, title = {A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1]}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {5}, number = {4}, pages = {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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22706.html} }
TY - JOUR T1 - A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1] AU - Beibei Wu JO - Journal of Information and Computing Science VL - 4 SP - 314 EP - 320 PY - 2024 DA - 2024/01 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22706.html KW - matrix Padé-type approximation, piecewise interpolation, matrix exponential. AB - 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.
Beibei Wu. (2024). A Piecewise Modified Matrix Padé-type Approximation of Hybrid Order in the Interval [0, 1]. Journal of Information and Computing Science. 5 (4). 314-320. doi:
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