| 重根情形的Newton迭代法收敛性加速 |
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| 引用本文： | 张保祥.重根情形的Newton迭代法收敛性加速[J].长春师范学院学报,2006(10). |
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| 作者姓名： | 张保祥 |
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| 作者单位： | 淮阴师范学院数学系 江苏淮安 |
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| 摘 要： | 基于Newton迭代法对于求重根具有线性收敛性,给出了加速其收敛的方法以及迭代公式,收敛速度得到了有效的提高。最后从数值实验加以比较,此算法是可行的。
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| 关 键 词： | 重根 Newton迭代法 收敛性 |
The Acceleration of Repeated Roots of Newton's Iterative Method Convergence |
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| ZHANG Bao-xiang.The Acceleration of Repeated Roots of Newton''''s Iterative Method Convergence[J].Journal of Changchun Teachers College,2006(10). |
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| Authors: | ZHANG Bao-xiang |
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| Abstract: | Considering that the Newton iterative algorithm has first-order convergence in multiple roots,the author advances the method of accelerating its convergence and iteration formula.Apart from that,the rate of convergence increases considerably and such an algorithm is feasible. |
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| Keywords: | multiple roots Newton's iterative method convergence |
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