| 二元有理插值公式 |
| |
| 引用本文： | 荆科,康宁. 二元有理插值公式[J]. 阜阳师范学院学报(自然科学版), 2013, 30(2): 11-14,17 |
| |
| 作者姓名： | 荆科 康宁 |
| |
| 作者单位： | 阜阳师范学院数学与计算科学学院,安徽阜阳,236037 |
| |
| 基金项目： | 国家特色专业，安徽省高校省级科学研究项目，阜阳师范学院科研项目 |
| |
| 摘 要： | 降低有理插值函数的次数和解决有理函数的存在性是函数逼近的一个重要问题。文章利用牛顿插值的承袭性性质和分段组合方法,构造出一种二元有理插值算法并推广到向量值有理插值,既解决了有理插值的存在性问题,又降低了有理插值函数的次数。相比于其他方法,算法的可行性是无条件的,有理插值函数次数较低,算法具有承袭性,计算量低,便于实际应用。
|
| 关 键 词： | 二元有理插值 牛顿插值 承袭性 分段组合 |
Formula of bivariate rational interpolation |
| |
| JING Ke , KANG Ning. Formula of bivariate rational interpolation[J]. Journal of Fuyang Teachers College:Natural Science, 2013, 30(2): 11-14,17 |
| |
| Authors: | JING Ke KANG Ning |
| |
| Affiliation: | (School of Mathematics and Computational Science, Fuyang Teachers College,Fuyang Anhui 236037, China) |
| |
| Abstract: | Reducing the degree of rational interpolation function and solving the existence of rational function are important problems in function approximation. To solve the two problems, we constructed a bivariate rational interpolation algorithm and extended it to vector-valued rational interpolation by means of heredity of Newton interpolation and the method of piecewise combination. Compared to other algorithms, the algorithm is unconditional, and the degree of rational function is lower. Besides, the algorithm has inherited nature and less computation, and is convenient for practical application. |
| |
| Keywords: | bivariate rational interpolation Newton interpolation heredity piecewise combination |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
