| 求解非线性方程的一族免导数的迭代法 |
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| 引用本文： | 李娟.求解非线性方程的一族免导数的迭代法[J].茂名学院学报,2014(1):59-62. |
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| 作者姓名： | 李娟 |
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| 作者单位： | [1]陇南师范高等专科学校,甘肃成县742500 [2]兰州大学数学与统计学院,甘肃兰州730000 |
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| 摘 要： | 求解非线性方程是数值分析最重要的问题之一。这方面成果现已极为丰富，为避免导数值的计算，利用牛顿割线法和Steffense加速法提出了求解非线性方程的一族新的免导数迭代方法，证明了该迭代法的收敛性，并可作为对一些文献的结果推广。
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| 关 键 词： | 非线性方程 迭代方法 牛顿法 Steffensen法 收敛性 |
A New Family of Iterative Methods without Derivatives for Solving Nonlinear Equations |
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| LI Juan.A New Family of Iterative Methods without Derivatives for Solving Nonlinear Equations[J].Journal of Maoming College,2014(1):59-62. |
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| Authors: | LI Juan |
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| Institution: | LI Juan (1. School of Science, Guangdong University of Petrochemical Technology, Mamming 525000, China; 2. Maoming Advanced Vocational School, Maomlng 525000, China) |
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| Abstract: | Solving nonlinear equations is one of the most important problems in numerical analysis .Achievements in this regard have been extremely rich .In order to avoid derivative values calculated ,Newton secant method and Steffense acceleration method are used in solving nonlinear equations to propose new family of derivative -free iterative method .The convergence is proved and its literature promotion is needed . |
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| Keywords: | nonlinear equations iterative method Newton method Steffensen methods convergence |
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