The Toda molecule equation and the epsilon-algorithm

The Toda molecule equation and the epsilon-algorithm
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DOI:
10.1090/s0025-5718-98-00987-9
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发表时间:
1998-10
期刊:
Math. Comput.
影响因子:
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通讯作者:
A. Nagai;T. Tokihiro;J. Satsuma
A. Nagai;T. Tokihiro;J. Satsuma
中科院分区:
其他
文献类型:
--
作者:
A. Nagai;T. Tokihiro;J. Satsuma

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E-算法是一种著名的收敛加速方法,它是从Toda分子方程的观点出发的。结果表明,该算法的误差可以通过方程的解来估计。给出了基于离散的Toda分子方程的加速算法。
One of the well-known convergence acceleration methods, the e-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.