| 插值(切触)分式表的构造 |
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| 引用本文： | 朱功勤,黄有群. 插值(切触)分式表的构造[J]. 计算数学, 1983, 5(3): 310-317 |
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| 作者姓名： | 朱功勤 黄有群 |
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| 作者单位： | 合肥工业大学(朱功勤),合肥工业大学(黄有群) |
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| 摘 要： | 用插值分式表或切触插值分式表来讨论有理插值或切触有理插值问题的一些算法的条件是比较方便的(参看[3],[6]).但关于这两个表的结构,至今未见充要的结果.为解决此问题,先引入有关术语及记号,并首先考虑有理插值的情况.
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THE CONSTRUCTION OF THE TABLE OF INTERPOLATING (OSCULATORY) RATIONALS |
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| Affiliation: | Zhu Gong-qin;Huang You-qun Hefei Polytechnic University |
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| Abstract: | Applying the "excess" conception given in this paper, we show that the table ofinterpolating (osculatory) rationals can possess the "defective square" construction thatis more complicated than the "square" one the Pade' table, and obtain the sufficientand necessary condition in which "defective square" arises. From these results, weeasily clear the condition of Wuytack's algorithm and Claessens's modification. |
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