The Toda molecule equation and the ε-algorithm

作     者：Nagai, A Tokihiro, T Satsuma, J 

作者机构：Univ Tokyo Dept Math Sci Meguro Ku Tokyo 153 Japan 

出 版 物：《MATHEMATICS OF COMPUTATION》 (计算数学)

年 卷 期：1998年第67卷第224期

页      面：1565-1575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：Toda molecule equation epsilon-algorithm Pade approximation continued fraction 

摘      要：One of the well-known convergence acceleration methods, the epsilon-algorithm is investigated from the viewpoint of the Toda molecule equation. It is shown that the error caused by the algorithm is evaluated by means of solutions for the equation. The acceleration algorithm based on the discrete Toda molecule equation is also presented.