| 关于Newton-like-iterative方法新的收敛性定理(英文) |
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| 引用本文： | 武敏. 关于Newton-like-iterative方法新的收敛性定理(英文)[J]. 浙江科技学院学报, 2010, 22(4): 241-246. DOI: 10.3969/j.issn.1671-8798.2010.04.001 |
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| 作者姓名： | 武敏 |
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| 作者单位： | 浙江科技学院,理学院,杭州,310023 |
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| 基金项目： | Key Industrial Projects of Major Science and Technology Projects of Zhejiang，Foundation of Zhejiang Educational Committee，Major High-Tech Industrialization Project of Jiaxing |
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| 摘 要： | 用迭代法求解Newton-like法中的方程,T.J . Ypma提出Newton-like-iterative方法。在其早期的文章中,不精确牛顿法理论用来研究Newton-like-iterative方法的收敛性。与以往方法不同,今提出用不精确Newton-like法做相关的收敛性分析,所得定理更加简单,同时具有仿射不变性。
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| 关 键 词： | 非线性方程 Newton-like方法 Newton-like-iterative方法 不精确牛顿法 不精确Newton-like方法 仿射不变性 |
New convergence theorems for Newton-like-iterative methods |
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| WU Min. New convergence theorems for Newton-like-iterative methods[J]. Journal of Zhejiang University of Science and Technology, 2010, 22(4): 241-246. DOI: 10.3969/j.issn.1671-8798.2010.04.001 |
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| Authors: | WU Min |
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| Abstract: | Newton-like-iterative methods proposed by T.J. Ypma are obtained by using an iterative method to solve Newton-like equations. In the early paper of Ypma, the theory of inexact Newton methods was applied to study the convergence of Newton-like-iterative methods. Unlike earlier results, new local convergence theorems for Newton-like-iterative methods by applying the theory of inexact Newton-like methods is proposed in this paper, which is seemed simpler and clearer. Moreover, the analysis is carried out in affine invariant terms. |
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| Keywords: | nonlinear equations Newton-like methods Newton-like-iterative methods inexact Newton method inexact Newton-like methods affine invariant |
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