@Article{JCM-11-3, 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/1993-JCM-9322}, url = {https://global-sci.com/article/85915/square-matrix-pade-approximation-and-convergence-acceleration-of-sequences} }