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 - <p style="text-align: justify;">This paper provides a new method for approximating matrix-valued functions — square Padé&nbsp;approximation. Some computational methods of the approximants are given. For accelerating matrix sequences, a family of nonlinear extrapolation formulas based on the square <span style="text-align: justify;">Pad</span><span style="text-align: justify;">é</span> approximation is given, a convergence acceleration theorem is proved and numerical examples are presented.&nbsp; &nbsp;&nbsp;</p>