| 基于广义逆的向量值Stieltjes-Newton型有理插值 |
| |
| 引用本文： | 王家正.基于广义逆的向量值Stieltjes-Newton型有理插值[J].河南科技大学学报(自然科学版),2007,28(4):70-73,86. |
| |
| 作者姓名： | 王家正 |
| |
| 作者单位： | 安徽教育学院,数学系,安徽,合肥,230061 |
| |
| 基金项目： | 安徽省教育厅自然科学基金 |
| |
| 摘 要： | 基于向量广义Samlson逆的意义下,将Stieltjes型向量分叉连分式与二元多项式结合起来,通过定义向量的差商和混合反差商,建立递推算法,构造的Stieltjes-Newton型向量有理插值函数满足有理插值问题所给的插值条件,并给出了插值定理和特征定理及相应的证明,最后利用数值例子,验证了所给算法的有效性.
|
| 关 键 词： | 向量 连分式 有理插值 Samlson逆 |
| 文章编号： | 1672-6871（2007）04-0070-04 |
| 修稿时间： | 2006-10-28 |
Vector Valued Stieltjes-Newton's Rational Interpolants Based on Generalized Inverse |
| |
| WANG Jia-Zheng.Vector Valued Stieltjes-Newton''''s Rational Interpolants Based on Generalized Inverse[J].Journal of Henan University of Science & Technology:Natural Science,2007,28(4):70-73,86. |
| |
| Authors: | WANG Jia-Zheng |
| |
| Abstract: | Based on vecter generalized samlson inverse,this paper incorporates bivariate vecter polynomials in stieltjes' branched vecter continued fraction.By defining vecter inverse difference and blending inverse difference,the recursive algorithm is built.Bivariate Stieltjes-Newton's vecter rational interpolating function which interpolates the given support points is structured.The rational function satisfies the given interpolating conditions by the problem of rational interpolation.Interpolating theorem,characteristical theorem and their proof are given.A unmerical example is presented to illustrate the efficiency of this algorithm. |
| |
| Keywords: | Vector Continued fraction Rational interpolation Samlson inverse |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
