| 极限周期连分式修正因子的一种新求法 |
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| 引用本文： | 胡翔.极限周期连分式修正因子的一种新求法[J].合肥工业大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 胡翔 |
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| 作者单位： | 安庆师范学院数学与计算科学学院,安徽,安庆,246011 |
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| 基金项目： | 安徽省教育厅重点资助项目 |
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| 摘 要： | 加速收敛在连分式理论中占有重要的地位,对连分式进行加速收敛最常用的方法是选择合适的修正因子;文章借助极限周期连分式与2-周期连分式的性质,针对极限周期连分式的修正因子给出一种新的选取方式,数值例子表明,新的修正因子使得连分式的收敛更快,精度更高。
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| 关 键 词： | 极限周期连分式 2-周期连分式 修正因子 |
A new solution of the modifying factor of limit periodic continued fractions |
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| HU Xiang.A new solution of the modifying factor of limit periodic continued fractions[J].Journal of Hefei University of Technology(Natural Science),2010,33(2). |
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| Authors: | HU Xiang |
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| Abstract: | Convergence acceleration is important in the theory of continued fractions.Value may often be determined more quickly by using modifying factors.A new approach to computing the limit peri-odic continued fractions is given by means of the property of limit periodic continued fractions and 2-periodic continued fractions.The choice of modifying factors will become easy by the use of the new algorithm.At last,an example is given to illustrate the validity of the new algorithm. |
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| Keywords: | limit periodic continued fraction 2-periodic continued fraction modifying factor |
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