二元牛顿关联连分式插值的矩阵算法  

Matrix algorithm to bivariate Newton associated continued fraction interpolation

作　　者：唐烁[1] 杨明娟[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2010年第8期1260-1263,共4页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60473114);安徽省教育厅重点科研资助项目(KJ2008A027)

摘　　要：文章利用牛顿多项式插值和关联连分式插值构造一种新的二元牛顿关联连分式插值,给出了一种新的等价算法——矩阵算法,数值例子表明了该算法的有效性。A kind of new bivariate Newton associated continued fraction interpolation is constructed by the Newton interpolation polynomial and associated continued fraction interpolation.A new equivalent algorithm namely matrix algorithm is given and its effectiveness is validated by numerical examples.

关 键 词：插值 矩阵算法 关联连分式 

分 类 号：O241.3[理学—计算数学]