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解非线性方程的Chebyshev-Halley型修正算法

A Chebyshev-Halley Type Modified Algorithm for Solving Nonlinear Equation
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摘要 考虑求解非线性方程的迭代解法,研究带一个参数的三阶Chebyshev-Halley型迭代族方法.在文中对该迭代族进行修正,把二阶导数进行近似代替,得到了一族新的双参数三阶迭代族,并且当参数取特殊值的时候,又可以得到一个具有四阶收敛的新迭代算法。 we consider finding iterative methods to solve nonlinear equation f(x) = 0, x ∈ R. We will study methods. And then, we also obtain a fourth - order convergence method to solve nonlinear equation.
出处 《中国传媒大学学报(自然科学版)》 2009年第3期76-79,共4页 Journal of Communication University of China:Science and Technology
关键词 非线性方程 迭代法 效能指数 收敛性分析 nonlinear equation iterative method efficiency index convergence analysis
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参考文献8

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