| 一类非线性算子的迭代求解 |
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| 引用本文： | 张红玉,唐世星,杨红梅. 一类非线性算子的迭代求解[J]. 承德石油高等专科学校学报, 2007, 9(3): 58-61 |
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| 作者姓名： | 张红玉 唐世星 杨红梅 |
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| 作者单位： | 承德石油高等专科学校,数理系,河北,承德,067000;承德石油高等专科学校,建筑工程系,河北,承德,067000 |
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| 摘 要： | 应用简单迭代法,研究了工程技术上一类非线性方程f（x）=x＋1/ksinf（x）（k＞1）的收敛性,对算法进行了研究,并用C语言编出了算法程序,并进行了误差分析和估计.研究的结果改进并拓广了前人的工作.
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| 关 键 词： | 简单迭代法 非线性方程 收敛性 |
| 文章编号： | 1008-9446（2007）03-0058-04 |
| 修稿时间： | 2007-03-26 |
Convergence and Study on Algorithm of Iterative Series for a Class of Nonlinear Operator |
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| ZHANG Hong-yu,TANG Shi-xing,YANG Hong-mei. Convergence and Study on Algorithm of Iterative Series for a Class of Nonlinear Operator[J]. Journal of Chengde Petroleum College, 2007, 9(3): 58-61 |
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| Authors: | ZHANG Hong-yu TANG Shi-xing YANG Hong-mei |
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| Affiliation: | 1. Department of Mathematics and Physics, Chengde Petroleum College, Chengde 067000, Hebei, China ; 2. Department of Construction Engineering, Chengde Petroleum College, Chengde 067000, Hebei, China |
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| Abstract: | A simple iterative method is applied to study the convergence of a class of nonlinear equations on engineering and technology：f（x） = x ＋ 1/ksinf（x） （k 〉 1）. The algorithms are discussed;the program on algorithms is worked out; the errors are estimated and analyzed, which improves the former work done by others. |
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| Keywords: | simple iterative method nonlinear equations the convergence |
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