{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T22:37:49Z","timestamp":1776724669804,"version":"3.51.2"},"reference-count":30,"publisher":"American Mathematical Society (AMS)","issue":"224","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    One of the well-known convergence acceleration methods, the\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"epsilon\">\n                        <mml:semantics>\n                          <mml:mi>\n                            \u03b5\n                            \n                          <\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">\\varepsilon<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -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.\n                  <\/p>","DOI":"10.1090\/s0025-5718-98-00987-9","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T18:14:44Z","timestamp":1027707284000},"page":"1565-1575","source":"Crossref","is-referenced-by-count":27,"title":["The Toda molecule equation and the \ud835\udf16-algorithm"],"prefix":"10.1090","volume":"67","author":[{"given":"Atsushi","family":"Nagai","sequence":"first","affiliation":[]},{"given":"Tetsuji","family":"Tokihiro","sequence":"additional","affiliation":[]},{"given":"Junkichi","family":"Satsuma","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[1998]]},"reference":[{"issue":"1","key":"1","first-page":"5","article-title":"Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers","volume":"62","author":"Arai, Masaharu","year":"1986","journal-title":"Proc. Japan Acad. Ser. 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