THE LIMITING CASE OF THIELE'S INTERPOLATING CONTINUED FRACTION EXPANSION

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Continued fraction Inverse difference Reciprocal difference Expansion.
• 年，卷（期）: 2001,（4）
• 页码范围: 433-444
• 页数: 12页
• 分类号: O1
• 语种: 英文

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].