Square Matrix Padé Approximation and Convergence Acceleration of Sequences

Square Matrix Padé Approximation and Convergence Acceleration of Sequences

Year:    1993

Author:    Guo-Liang Xu, Guo-Zhong Zhuang

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 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.    

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1993-JCM-9322

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 225–235

Published online:    1993-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:   

Author Details

Guo-Liang Xu

Guo-Zhong Zhuang