二元Thiele型向量有理插值 |
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引用本文: | 朱功勤,顾传青.二元Thiele型向量有理插值[J].计算数学,1990,12(3):293-301. |
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作者姓名: | 朱功勤 顾传青 |
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作者单位: | 合肥工业大学
(朱功勤),合肥工业大学(顾传青) |
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摘 要: | 本文对二元Thiele型连分式的渐近分式施行Samelson逆变换,建立了平面矩形域上的二元向量值有理插值,所得结果是一元向量值有理插值的推广和改进.
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关 键 词: | Thiele型 二元有理插值 连分式 |
BIVARIATE THIELE-TYPE VECTOR VALUED RATIONAL INTERPOLANTS |
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Institution: | Zhu Gong-qin;Gu Chuan-qing Hefei Polytechnic University |
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Abstract: | In this paper, we show explicitly that by making use of the convergence of Thiele-type bran-ched continued fractions for two-variable functions, the samelson inverse may be used to definebivariate vector-valued rational interpolants. Our results are extensions and improvements of thosefor the one-variable case given in 1] and 2]. |
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