伪多元函数的Pad\'{e}型逼近

彭凯军;檀结庆

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (7) : 971-979.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (7) : 971-979. DOI: 10.12341/jssms08435
论文

伪多元函数的Pad\'{e}型逼近

    彭凯军, 檀结庆
作者信息 +

{The Pad\'{e}-Type Approximation for Pseudo-Multivariate Functions

    PENG Kaijun, TAN Jieqing
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摘要

给出伪多元函数的Pad\'{e}型逼近,其优点在于:简化了多元函数有理逼近的计算,加速了函数在奇点处的收敛.并讨论其性质以及误差分析.

Abstract

This paper presents the Pad\'{e}-type approximation for pseudo-multivariate functions. This approximation can simplify the calculation of the multivariate rational approximation, and accelerate the convergence of the function at the singular point. The properties and error analysis of the Pad\'{e}-type approximation for pseudo-multivariate functions are given.

关键词

伪多元函数 / Pad\'{e}逼近 / Pad\'{e}型逼近 / 误差分析.

Key words

Pseudo-multivariate functions / Pad\'{e} approximation / Pad\'{e}-type approximation / error analysis.

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彭凯军 , 檀结庆. 伪多元函数的Pad\'{e}型逼近. 系统科学与数学, 2009, 29(7): 971-979. https://doi.org/10.12341/jssms08435
PENG Kaijun , TAN Jieqing. {The Pad\'{e}-Type Approximation for Pseudo-Multivariate Functions. Journal of Systems Science and Mathematical Sciences, 2009, 29(7): 971-979 https://doi.org/10.12341/jssms08435
中图分类号： 30E10   
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