| 一个自我修正的迭代法及其收敛性 |
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| 引用本文： | 黄清龙.一个自我修正的迭代法及其收敛性[J].数值计算与计算机应用,2004,25(4):289-294. |
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| 作者姓名： | 黄清龙 |
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| 作者单位： | 江苏工业学院信息科学系,江苏,常州,213016 |
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| 基金项目： | 江苏省高校自然科学研究项目(02KJD110001). |
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| 摘 要： | §1.引言设有n次代数方程其中ri≠rj(i≠j). 作为解代数方程时牛顿法的一种改进,文1,6]讨论了一个在没有重根的情况下可同时求解出n次代数方程(1)的n个根且3阶收敛的算法,其迭代公式为
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| 修稿时间： | 2003年6月2日 |
A SELF-MODIFIED ITERATIVE METHOD AND ITS CONVERGENCE |
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| Huang Qinglong.A SELF-MODIFIED ITERATIVE METHOD AND ITS CONVERGENCE[J].Journal on Numerical Methods and Computer Applications,2004,25(4):289-294. |
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| Authors: | Huang Qinglong |
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| Abstract: | This paper discusses a self-modified iterative method. It is a new method for simultaneously finding all roots of a nonlinear algebraic equation. The convergence and the convergence rate with higher order are obtained. The results of efficiency analysis and numerical example are satisfactory. |
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| Keywords: | roots iteration method self-modification convergence efficiency |
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