| 一类不带导数的牛顿迭代格式 |
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| 引用本文： | 谢雅洵,曾婧,陈林松,吴开谡.一类不带导数的牛顿迭代格式[J].数学的实践与认识,2021(1):193-198. |
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| 作者姓名： | 谢雅洵 曾婧 陈林松 吴开谡 |
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| 作者单位： | 1.北京化工大学数学系;2.湖北第二师范学院 |
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| 基金项目： | 北京化工大学精品课程建设项目资助。 |
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| 摘 要： | 构造了一类新型的不带导数的牛顿迭代格式,通过建立误差方程,证明了该迭代格式至少是4阶收敛,同时获得了该迭代格式对应参数所满足的条件.
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| 关 键 词： | 非线性方程 牛顿迭代 收敛阶 误差方程 |
A Class of Newton Iterative Schemes Without Derivatives |
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| XIE Ya-xun,ZENG Jing,CHEN Lin-song,WU Kai-su.A Class of Newton Iterative Schemes Without Derivatives[J].Mathematics in Practice and Theory,2021(1):193-198. |
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| Authors: | XIE Ya-xun ZENG Jing CHEN Lin-song WU Kai-su |
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| Institution: | (Department of Mathematics,Beijing University of Chemical Technology,Beijing 100029,China;Hubei University of Education,Wuhan 430205,China) |
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| Abstract: | In this paper,a new Newtonian iterative format without derivative is constructed.By establishing the error equation,it is proved that the iterative format is at least 4 order convergence,and the corresponding parameters are obtained. |
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| Keywords: | nonlinear equation newton iteration convergence order error equation |
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