| 极限周期连分式的一种较快加速收敛方法 |
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| 引用本文： | 贾斌. 极限周期连分式的一种较快加速收敛方法[J]. 佳木斯工学院学报, 2011, 0(3): 431-433 |
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| 作者姓名： | 贾斌 |
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| 作者单位： | 合肥工业大学数学学院,安徽合肥230009 |
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| 基金项目： | 国家自然科学基金资助项目（60473114）; 安徽省教育厅重点资助项目（KJ2008A027） |
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| 摘 要： | 对极限周期连分式的一类修正逼近式序列进行变换以期达到快速加速的目的,并证明新的逼近式在一定条件下具有更快的加速逼近效果.最后用数值例子验证方法的可行性和有效性.
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| 关 键 词： | 极限周期连分式 较快加速收敛 逼近渐进序列 |
A Method to Accelerate Convergence of Limit Periodic Continued Fraction |
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| JIA Bin. A Method to Accelerate Convergence of Limit Periodic Continued Fraction[J]. , 2011, 0(3): 431-433 |
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| Authors: | JIA Bin |
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| Affiliation: | JIA Bin(Department of Mathematics,Hefei University of Technology,Hefei 230009,China) |
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| Abstract: | In this paper,modified approximants associated with a kind of accelerating convergence factors for limit periodic continued fraction were used to form new approximate sequences by sequence transformation.Under some conditions,the new sequences converge faster than old ones in approximation.Numerical examples showed that the method is available and efficient. |
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| Keywords: | limit periodic continued fraction faster accelerating convergence modified approximant |
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