| 一种不使用导数的非线性方程求根算法 |
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| 引用本文： | 李灵芝,王云诚,姚磊.一种不使用导数的非线性方程求根算法[J].山东农业大学学报(自然科学版),2012,43(2):312-315. |
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| 作者姓名： | 李灵芝 王云诚 姚磊 |
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| 作者单位： | 1. 曲阜师范大学运筹与管理学院,山东日照,276826
2. 山东农业大学信息科学与工程学院,山东泰安,271018 |
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| 摘 要： | 非线性方程求解是计算数学领域的一个基本问题。本文给出求解上述问题的一种新算法,该算法不使用函数的导数,在一定条件下具有2阶收敛速度,并给出了初步的实验结果。
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| 关 键 词： | 非线性方程 迭代法 收敛阶 |
A DERIVATIVE - FREE METHOD FOR SOLVING NONLINEAR EQUATIONS |
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| LI Ling-zhi
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WANG Yun-cheng
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YAO Lei.A DERIVATIVE - FREE METHOD FOR SOLVING NONLINEAR EQUATIONS[J].Journal of Shandong Agricultural University,2012,43(2):312-315. |
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| Authors: | LI Ling-zhi WANG Yun-cheng YAO Lei |
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| Institution: | 1.College of Operations Research and Management Science,Qufu Normal University,Rizhao 276826,China; 2.College of Information Science and ngineering,Shandong Agricultural University,Taian 271018,China) |
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| Abstract: | Finding the solution of a nonlinear equation is one of the fundamental problems in the realm of numerical mathematics.In this paper,we present a new approach to solve such kind of problems.The method is derivative-free and 2 order convergence rate can be reached under some proper assumptions.Preliminary numerical examples are given. |
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| Keywords: | Nonlinear equation iterative formula rate of convergence |
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