CONVERGENCE IN MEASURE OF MULTIVARIATE PADE APPROXIMANTS

被引:0
作者
Li Jiakai
Zhuang Guozhong
机构
[1] Computing Center Chinese Academy of Sciences Beijing PRChina
[2] Computing Center Chinese Academy of Sciences Beijing
[3] PRChina
关键词
CONVERGENCE IN MEASURE OF MULTIVARIATE PADE APPROXIMANTS; APPI;
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摘要
<正> Convergence conclusions of Pade approximants in the univariate case can be found in various papers.However,resuhs in the multivariate case are few.A.Cuyt seems to be the only one who discusses convergencefor multivariate Pade approximants,she gives in[2]a de Montessus de Bollore type theorem.In this paper,wewill discuss the zero set of a real multivariate polynomial,and present a convergence theorem in measure ofmultivariate Pade approximant.The proof technique used in this paper is quite different from that used in theunivariate case.
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页码:99 / 106
页数:8
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