TY - JOUR
T1 - Multivariate Padé Approximation and Its Application in Solving Systems of Nonlinear Equations
AU - Xu , Guo-Liang
JO - Journal of Computational Mathematics
VL - 4
SP - 342
EP - 352
PY - 1990
DA - 1990/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9446.html
KW - 
AB - <p style="text-align: justify;">For a certain kind of multivariate Padé&nbsp;approximation problems, we establish in this paper some results about the solvability and uniqueness of its solution. We <span style="text-align: justify;">also&nbsp;</span>give the necessary and sufficient conditions for the continuity of Pad<span style="text-align: justify;">é</span> approximation operator. The application of such approximations in finding solutions of systems of nonlinear equations is considered, and some numerical examples are given, in which it is shown that the Pad<span style="text-align: justify;">é</span> methods are more effective than the Newton methods in some cases.</p>