The vector epsilon algorithm - a residual approach

作     者：Roberts, DE 

作者机构：Napier Univ Dept Math Edinburgh EH10 5DT Midlothian Scotland 

出 版 物：《NUMERICAL ALGORITHMS》 (数值算法)

年 卷 期：2002年第29卷第1-3期

页      面：209-227页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：linear systems iterative methods extrapolation residual vector vector epsilon algorithm vector Pade approximant Clifford algebras vector continued fraction 

摘      要：We present an alternative to the hector epsilon-algorithm based on hector continued fractions and which is applicable when the sequence to be accelerated is generated by a one-point iteration function. These fractions are constructed in the language of Clifford algebras. which allow three-term recurrence relations. The new algorithm evidently has considerably greater numerical precision than the old one. Results from numerical experiments are reported.