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Volume 11, Issue 3
Square Matrix Padé Approximation and Convergence Acceleration of Sequences

Guo-Liang Xu & Guo-Zhong Zhuang

J. Comp. Math., 11 (1993), pp. 225-235.

Published online: 1993-11

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  • Abstract

This paper provides a new method for approximating matrix-valued functions — square Padé approximation. Some computational methods of the approximants are given. For accelerating matrix sequences, a family of nonlinear extrapolation formulas based on the square Padé approximation is given, a convergence acceleration theorem is proved and numerical examples are presented.    

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@Article{JCM-11-225, author = {Xu , Guo-Liang and Zhuang , Guo-Zhong}, title = {Square Matrix Padé Approximation and Convergence Acceleration of Sequences}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {3}, pages = {225--235}, abstract = {

This paper provides a new method for approximating matrix-valued functions — square Padé approximation. Some computational methods of the approximants are given. For accelerating matrix sequences, a family of nonlinear extrapolation formulas based on the square Padé approximation is given, a convergence acceleration theorem is proved and numerical examples are presented.    

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9322.html} }
TY - JOUR T1 - Square Matrix Padé Approximation and Convergence Acceleration of Sequences AU - Xu , Guo-Liang AU - Zhuang , Guo-Zhong JO - Journal of Computational Mathematics VL - 3 SP - 225 EP - 235 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9322.html KW - AB -

This paper provides a new method for approximating matrix-valued functions — square Padé approximation. Some computational methods of the approximants are given. For accelerating matrix sequences, a family of nonlinear extrapolation formulas based on the square Padé approximation is given, a convergence acceleration theorem is proved and numerical examples are presented.    

Xu , Guo-Liang and Zhuang , Guo-Zhong. (1993). Square Matrix Padé Approximation and Convergence Acceleration of Sequences. Journal of Computational Mathematics. 11 (3). 225-235. doi:
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