| 合成序列变换对极限周期连分式的加速收敛 |
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| 引用本文： | 仲红.合成序列变换对极限周期连分式的加速收敛[J].安徽大学学报(自然科学版),2002,26(2):44-48. |
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| 作者姓名： | 仲红 |
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| 作者单位： | 安徽大学计算机科学与工程系,安徽,合肥,230039 |
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| 摘 要： | 合成序列变换是由C.Brezinski在1985年首先引入的,它在序列加速收敛方面是非常有用的.极限周期连分式是通过加速收敛因子来实现的.本文的主要目的是研究合成序列变换对极限周期连分式的加速收敛,得到了一些收敛和加速收敛的结果.与其同时,我们还对合成序列变换引入Aitken△2-过程,也得到了一些相应的结果.
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| 关 键 词： | 加速 合成序列变换 极限周期连分式 |
On the acceleration of limit periodic continued fractions by the composite sequence transformation |
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| ZHONG Hong.On the acceleration of limit periodic continued fractions by the composite sequence transformation[J].Journal of Anhui University(Natural Sciences),2002,26(2):44-48. |
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| Authors: | ZHONG Hong |
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| Abstract: | The composite sequence transformation is introduced at first by C. Brezinski in 1985. It is very useful in accelerating the convergence of sequence. The covergence acceleration for limit periodic continued fraction can be made by accelerating convergence facter. The aim of this paper is to study the acceleration of limit peroidic continued fraction by the composite sequence transformation. The results of convergence and convergence acceleration are obtained. In the same time, Aitken △2 - process for the composite sequence is introduced, some results are obtained too. |
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| Keywords: | acceleration composite sequence transformation limit periodic continued fraction |
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