A Fourth Order Iterative Method for Solving Nonlinear Equations

机译：求解非线性方程的四阶迭代方法

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摘要

in this paper we present a new fourth order iterative method for solving nonlinear equations based on linear combination well known third-order variant of Newton methods. Convergence order is proved. Several numerical examples are given and compared with other known Newton type methods. The results show that the method developed in this paper has some more advantages than other well known methods including Newton's method.

机译：在本文中，我们提出了一种新的基于非线性组合牛顿法三阶变体的非线性方程组求解的四阶迭代方法。证明了收敛阶。给出了几个数值示例，并将其与其他已知的牛顿型方法进行了比较。结果表明，与牛顿法等其他众所周知的方法相比，本文开发的方法具有更多的优势。

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来源
《IEEE international conference on computer science and information technology;ICCSIT 2010》|2010年|p.628-630|共3页
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作者
Kaysar.Rahman; Rahmatjan.Yimin; Nurmamat.Helil;
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中图分类计算技术、计算机技术;计算技术、计算机技术;计算技术、计算机技术;
关键词
Nonlinear equations; Newton's method; Iterative method; fourth order convergence;

机译：非线性方程;牛顿法;迭代方法;四阶收敛;

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3. Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations [J] . J. P. Jaiswal Journal of applied mathematics . 2014,第Pta4期

机译：求解非线性方程的一类三阶和四阶迭代方法
4. A Fourth Order Iterative Method for Solving Nonlinear Equations [C] . Kaysar. Rahman, Rahmatjan.Yimin, Nurmamat. Helil IEEE International Conference on Computer Science and Information Technology . 2010

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机译：解决抛物线和四阶偏微分方程参数识别反问题的数值方法。
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机译：基于Bi等人的概论。八阶收敛迭代法求解非线性方程
7. Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations [O] . J. P. Jaiswal 2014

机译：一些求解非线性方程的三类和四阶迭代方法

A Fourth Order Iterative Method for Solving Nonlinear Equations

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