| 一个新的四阶迭代法和一族新的三阶迭代法 |
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| 引用本文： | 胡央儿.一个新的四阶迭代法和一族新的三阶迭代法[J].宝鸡文理学院学报(自然科学版),2007,27(3):173-175. |
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| 作者姓名： | 胡央儿 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 摘 要： | 目的研究解非线性方程组中的算法问题,得到更高收敛阶的迭代法。方法采用离散C-方法,用数值例子与其他方法进行比较。结果得到一族三阶迭代法且参数取特定值时得到解非线性方程组的一个四阶迭代法。结论此迭代法对解非线性方程组有极其重要的意义。
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| 关 键 词： | C-方法 四阶收敛 迭代法 牛顿法 非线性方程 效率指数 |
| 文章编号： | 1007-1261（2007）03-0173-03 |
| 收稿时间： | 2007-01-05 |
A new fourth-order iterative method and a new family of third-order iterative methods |
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| HU Yang-er.A new fourth-order iterative method and a new family of third-order iterative methods[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(3):173-175. |
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| Authors: | HU Yang-er |
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| Abstract: | Aim To study the method of solving nonlinear equation and obtain high order iterative method.Methods The discrete C-method and present numerical examples were used to compare to other methods.Results The third-order method or four depending on the choices of parameters are gotten.Conclusion The methods play a leading role in the studies of solving nonlinear equations. |
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| Keywords: | C-method fourth-order convergence iterative method Newton's method nonlinear equation efficiency index |
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