THE LIMITING CASE OF THIELE'S INTERPOLATING CONTINUED FRACTION EXPANSION

作     者：Jie-qing Tan (Institute of Applied Mathematics, College of Science and CAD/CG Division College of Computer & Information Hefei, University of Technology, Hefei 230009, China) 

作者机构：中国科学技术大学 安徽 合肥 230009 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2001年第19卷第4期

页      面：433-444页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070102[理学-计算数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the Foundation for Excellent Young Teachers of the Ministry of Education of China and inpart by the Foundation f 

主　　题：Continued fraction Inverse difference Reciprocal difference Expansion. 

摘      要：By means of the determinantal formulae for inverse and reciprocal differences with coincident data points, the limiting case of Thiele s interpolating continued fraction expansion is studied in this paper and given numerical example shows that the limiting Thiele s continued fraction expansion can be determined once for all instead of carrying out computations for each step to obtain each convergent as done in [3].