| Newton迭代双侧逼近序列一般构造方法 |
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| 引用本文： | 胡国胜,陈一天.Newton迭代双侧逼近序列一般构造方法[J].石河子大学学报,2002,6(1):66-68. |
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| 作者姓名： | 胡国胜 陈一天 |
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| 作者单位： | [1]广东省科技干部学院，广州510640 [2]华南理工大学，广州510641 |
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| 摘 要： | 求方程近似解的Newton迭代法构造的序列是单侧逼近精确解的，这给误差分析带来很大的困难。本文提出了构造Newton迭代双侧逼近序列一般方法，精确解介于两个序列之间，这样可通过两个近似解来估计逼近精确解的程度。
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| 关 键 词： | Newton迭代方法 误差分析 Newton迭代双侧逼近序列 近似解 序列构造 精确解 |
| 文章编号： | 1007-7383(2002)01-0066-03 |
| 修稿时间： | 2001年9月27日 |
General Constructing Method of Two Side ApproachingSeries of Newton Iteration |
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| HU Guo sheng\\{,\},CHEN Yi tian\\.General Constructing Method of Two Side ApproachingSeries of Newton Iteration[J].Journal of Shihezi University(Natural Science),2002,6(1):66-68. |
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| Authors: | HU Guo sheng\\{ \} CHEN Yi tian\\ |
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| Institution: | HU Guo sheng\+\{1,2\},CHEN Yi tian\+1\, |
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| Abstract: | Iteration series based on Newton method always approach exact solution on one side, so it is inconvenience to estimate errors. In this paper, a new double side iterated series based on Newton method is presented and exact solution locates between two series. So it is simple to estimate errors by double side series. |
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| Keywords: | newton method double side approach error analysis |
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