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Volume 11, Issue 1
Convergence Acceleration of Vector Sequences by Vector Padé Approximation

Guo-Liang Xu & Guo-Zhong Zhuang

J. Comp. Math., 11 (1993), pp. 77-86.

Published online: 1993-11

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  • Abstract

By making use of vector Padé approximants, a method for accelerating the convergence of vector sequences is derived. The method obtained includes the well known Henrici transformation as a special case. A main character of the method is that it can use partial vector components to accelerate convergence of the whole vector sequence. Results about the efficacy of the method are established. An algorithm and some numerical examples are given.

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@Article{JCM-11-77, author = {Xu , Guo-Liang and Zhuang , Guo-Zhong}, title = {Convergence Acceleration of Vector Sequences by Vector Padé Approximation}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {1}, pages = {77--86}, abstract = {

By making use of vector Padé approximants, a method for accelerating the convergence of vector sequences is derived. The method obtained includes the well known Henrici transformation as a special case. A main character of the method is that it can use partial vector components to accelerate convergence of the whole vector sequence. Results about the efficacy of the method are established. An algorithm and some numerical examples are given.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9306.html} }
TY - JOUR T1 - Convergence Acceleration of Vector Sequences by Vector Padé Approximation AU - Xu , Guo-Liang AU - Zhuang , Guo-Zhong JO - Journal of Computational Mathematics VL - 1 SP - 77 EP - 86 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9306.html KW - AB -

By making use of vector Padé approximants, a method for accelerating the convergence of vector sequences is derived. The method obtained includes the well known Henrici transformation as a special case. A main character of the method is that it can use partial vector components to accelerate convergence of the whole vector sequence. Results about the efficacy of the method are established. An algorithm and some numerical examples are given.

Xu , Guo-Liang and Zhuang , Guo-Zhong. (1993). Convergence Acceleration of Vector Sequences by Vector Padé Approximation. Journal of Computational Mathematics. 11 (1). 77-86. doi:
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