| 关于同时求解多项式所有二次因子的迭代解法 |
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| 引用本文： | 高利新.关于同时求解多项式所有二次因子的迭代解法[J].华东师范大学学报(自然科学版),1996(1):12-18. |
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| 作者姓名： | 高利新 |
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| 作者单位： | 温州师范数学系 |
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| 摘 要： | 郑士明，叶贻才分别给出一种求多项式所有二次因子的迭代解法，本文给出另一种迭代解法，且证明本文的迭代法，郑士明和叶贻才给出的迭代法都相当于对系数的牛顿法，最后给出一些数值例子。
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| 关 键 词： | 迭代法 二次因子 二阶收敛 多项式 |
Iterative Method For Simultaneously Finding All Quadratic Factors of A Polynomial |
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| Gao Lixin.Iterative Method For Simultaneously Finding All Quadratic Factors of A Polynomial[J].Journal of East China Normal University(Natural Science),1996(1):12-18. |
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| Authors: | Gao Lixin |
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| Abstract: | be a polynomial with real coefficients f Zheng Shi-ming6] and Ye Yi-cai7] each gave an iterative method for finding all quadratic factors simultaneously. In this paper we give another iterative method, and prove that this method and those of Zheng Shi-ining6] and Ye Yi-cai7] are all equivalent. Finally, we report some numerical results. |
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| Keywords: | iterative method quadratic factor second order of convergence rate |
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