Convergence in measure of multivariate Pade approximants |
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Authors: | Li Jiakai Zhuang Guozhong |
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Institution: | (1) Computing Center, Chinese Academy of Sciences, 100080 Beijing, P. R. China |
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Abstract: | Convergence conclusions of Padé approximants in the univariate case can be found in various papers. However, results in the
multivariate case are few. A. Cuyt seems to be the only one who discusses convergence for multivariate Pade approximants,
she gives in 2] a de Montessus de Bollore type theorem. In this paper, we will discuss the zero set of a real multivariate
polynomial, and present a convergence theorem in measure of multivariate Padé approximant. The proof technique used in this
paper is quite different from that used in the univariate case.
Supported by National Science Foundation of China for Youth |
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Keywords: | |
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