A q-difference version of the ε-algorithm

被引：11
|
作者：
He, Yi [1 ,2 ]
Hu, Xing-Biao [1 ]
Tam, Hon-Wah [3 ]
机构：
[1] Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Grad Sch, Beijing, Peoples R China
[3] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 09期
基金：
中国国家自然科学基金;
关键词：
LOTKA-VOLTERRA SYSTEM; CONVERGENCE ACCELERATION ALGORITHMS; TODA LATTICE; EQUATION;
D O I：
10.1088/1751-8113/42/9/095202
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a q-difference version of the epsilon-algorithm is proposed. By using determinant identities the solutions of an initial value problem thus arisen can be expressed as ratios of Hankel determinants. It is shown that in numerical analysis this algorithm can be used to compute the approximation lim(t ->infinity) f (t), and in the field of integrable systems it could be viewed as the q-difference version of the modified Toda molecule equation.
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页数：9
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