对称型Newton-关联连分式混合有理插值  

Symmetry Newton-associated Continued Fractions Blending Rational Interpolation

作　　者：邹乐[1,2] 

机构地区：[1]合肥学院计算机科学与技术系,安徽合肥230601 [2]合肥学院网络与智能信息处理重点实验室,安徽合肥230601

出　　处：《合肥师范学院学报》2010年第3期5-7,20,共4页Journal of Hefei Normal University

基　　金：安徽省教育厅自然科学项目(KJ2010B182)

摘　　要：将二元Newton插值与关联连分式插值结合,构造出矩形网格上的对称型Newton-关联连分式混合有理插值,讨论了递推算法,插值定理,并给出误差估计.数值例子说明了文中方法的有效性.文末将结果推广到向量值及矩阵值插值情形和三角网格上的插值。Both the bivariate Newton interpolation polynomial and related continued fractions are used to construct symmetry Newton-associated continued fractions blending rational interpolation. We discuss the recursive algorithm, interpolating theorem and error estimation, a numerical example is given to show the effectiveness of the method. We extend the conclusion to vector valued, matrix valued case and the triangular net ease.

关 键 词：对称型连分式 关联连分式 Newton插值多项式 

分 类 号：O174.41[理学—数学] O241.5[理学—基础数学]