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The Toda molecule equation and the |
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| Authors: | Atsushi Nagai Tetsuji Tokihiro Junkichi Satsuma. |
| Affiliation: | Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan ; Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan ; Department of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153, Japan |
| Abstract: | One of the well-known convergence acceleration methods, the  -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. |
| Keywords: | Toda molecule equation $varepsilon$-algorithm Pad'{e} approximation continued fraction |
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