| 一种求二元向量有理插值函数的方法 |
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| 引用本文： | 程荣,朱功勤.一种求二元向量有理插值函数的方法[J].合肥工业大学学报(自然科学版),2007,30(2):240-243. |
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| 作者姓名： | 程荣 朱功勤 |
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| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009 |
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| 摘 要： | 对于二元向量值有理插值的计算,定义一个二元实代数多项式,利用两个多项式相等的充要条件,通过求解线性方程组确定引入的多个参数,并由此给出二元向量值有理插值公式,在相应的向量值有理插值函数存在时,当任意指定一个实二元多项式作为分母时,都可以相应的确定其分子的具体表达式;最后用实例来说明它的有效性。
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| 关 键 词： | 二元向量值有理插值 参数 方程组 |
| 文章编号： | 1003-5060(2007)02-0240-04 |
| 修稿时间： | 2006年1月5日 |
Method for the determination of bivariate vector-valued rational interpolants |
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| CHENG Rong,ZHU Gong-qin.Method for the determination of bivariate vector-valued rational interpolants[J].Journal of Hefei University of Technology(Natural Science),2007,30(2):240-243. |
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| Authors: | CHENG Rong ZHU Gong-qin |
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| Abstract: | For the calculation of bivariate vector-valued rational interpolants,multi-parameters are introduced and an algebraic polynomial with two elements is defined.By using the necessary and sufficient conditions for polynomials identity,linear equations are solved to determine the parameters and the formula of the vector-valued rational interpolant is given.With the existence of the corresponding vector-valued rational interpolant,when the denominator is an assigned real polynomial with two elements,the expression of its numerator can determined.The validity of the method is illustrated by examples. |
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| Keywords: | bivariate vector-valued rational interpolant parameter system of equations |
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