THE TODA MOLECULE EQUATION AND THE EPSILON-ALGORITHM

Authors
NAGAI A TOKIHIRO T SATSUMA J
Citation
A. Nagai et al., THE TODA MOLECULE EQUATION AND THE EPSILON-ALGORITHM, Mathematics of computation, 67(224), 1998, pp. 1565-1575
Citations number
29
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
67
Issue
224
Year of publication
1998
Pages
1565 - 1575
Database
ISI
SICI code
0025-5718(1998)67:224<1565:TTMEAT>2.0.ZU;2-6
Abstract
One of the well-known convergence acceleration methods, the epsilon-al gorithm is investigated from the viewpoint of the Toda molecule equati on. 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.