| 迭代序列收敛阶的探讨 |
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| 引用本文： | 陈伟刚.迭代序列收敛阶的探讨[J].临沂师范学院学报,2010,32(3):68-72. |
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| 作者姓名： | 陈伟刚 |
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| 作者单位： | 华东师范大学数学系,上海,200245 |
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| 摘 要： | 就一些理论与计算问题中经常考察的单点迭代序列X1=a，Xn＋1=f（xn）（n=1，2，……），探讨在迭代序列收敛的条件下，估计其收敛的阶．通过推算得到一些较为精确的结论，并给出了一种如何讨论迭代序列收敛阶估计的方法．
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| 关 键 词： | 迭代序列 收敛 阶 |
On Convergence Order of Iterative Sequences |
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| CHEN Wei-Gang.On Convergence Order of Iterative Sequences[J].Journal of Linyi Teachers' College,2010,32(3):68-72. |
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| Authors: | CHEN Wei-Gang |
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| Institution: | CHEN Wei-Gang (Department of Mathematics, East China Normal University, Shanghai 200245, China) |
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| Abstract: | To study natural phenomena and social phenomena, or to solve engineering problems, often encounter in nonlinear equations. The iterative method for solving nonlinear equations is an important algorithm. Now, the iterative method of solving nonlinear problems is increasingly becoming the core of the merits of choice and iter- ative convergence order of the estimated direct impact on the results of various non-linear problem solving, good or bad, so the convergence and convergence order estimates studies are of great scientific value and practical meaning. In this paper, some theoretical and computational problems in the regular surveys of single-point iterative sequence are discussed as to draw some more accurate conclusions and find methods of it. |
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| Keywords: | iterative sequences convergence order |
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