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广义的Aitken△~2-过程对极限k(k≥2)循环连分式的加速收敛
作者姓名:唐烁,仲红
作者单位:合肥工业大学,安徽大学计算中心与实验中心
摘    要:本文对极限k(k≥2)循环连分式的渐进分式序列引入广义的Aitken△~2一过程,在一定条件下,用它来对极限k(k≥2)循环连分式进行加速收敛,给出了数值结果,并讨论了r=0的情况。

关 键 词:极限k(k≥2)循环连分式  加速收敛  广义Aitken△~2—过程

Acceleration of limit k-periodic continued fractions by the generalized Aitken △~2-process
Authors:Tang Shuo
Institution:Tang Shuo (HeFei University of Technology) Zhong Hong (computional and experimentalcentre)
Abstract:In this paper,The generalized Aitken △~2-process is introduced for the convergent sequence of limit k-periodic continued fractions. Under some conditions. Limit k -periodivc continued fractions can be accelarated by it some example is qiven. In addition, The case r=0 is discussed.
Keywords:limit k-periodic continued fractions  convergence acceleration generalized
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