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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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The Toda molecule equation and the $\varepsilon$ -algorithm
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by Atsushi Nagai, Tetsuji Tokihiro and Junkichi Satsuma PDF
Math. Comp. 67 (1998), 1565-1575 Request permission

Abstract:

One of the well-known convergence acceleration methods, the $\varepsilon$-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.
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Additional Information
  • Atsushi Nagai
  • Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan
  • Email: slime@poisson.ms.u-tokyo.ac.jp
  • Tetsuji Tokihiro
  • Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan
  • Email: toki@sunflower.t.u-tokyo.ac.jp
  • Junkichi Satsuma
  • Affiliation: Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan
  • Email: satsuma@poisson.ms.u-tokyo.ac.jp
  • Received by editor(s): May 20, 1996
  • Received by editor(s) in revised form: November 5, 1996, and February 13, 1997
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 1565-1575
  • MSC (1991): Primary 58F07, 65B10
  • DOI: https://doi.org/10.1090/S0025-5718-98-00987-9
  • MathSciNet review: 1484902