广义的Aitken△~2-过程对极限k(k≥2)循环连分式的加速收敛 |
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作者姓名: | 唐烁,仲红 |
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作者单位: | 合肥工业大学,安徽大学计算中心与实验中心 |
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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。
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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 |
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Authors: | Tang Shuo |
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Institution: | Tang Shuo (HeFei University of Technology) Zhong Hong (computional and experimentalcentre) |
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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. |
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Keywords: | limit k-periodic continued fractions convergence acceleration generalized |
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