| 求解非线性方程组问题的自适应信赖域方法 |
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| 引用本文： | 李红伟,时贞军,郑作奎.求解非线性方程组问题的自适应信赖域方法[J].佳木斯大学学报,2005,23(4):628-629. |
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| 作者姓名： | 李红伟 时贞军 郑作奎 |
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| 作者单位： | [1]曲阜师范大学运筹与管理学院,山东日照 276826 [2]费县第二中学,山东费县 273400 |
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| 基金项目： | 国家自然科学基金（No.10171054）资助项目. |
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| 摘 要： | 提出一种新的求解非线性方程组问题的自适应信赖域方法.这个新的方法与同类算法相比,信赖域半径更容易计算,节省了计算工作量.此文还给出了算法在一定的条件下具有全局收敛性和Q-二阶收敛速度.给出的自适应信赖域方法与传统的信赖域方法相比信赖域半径可根据当前迭代点的信息自动调节产生,在实际应用中更容易实现.
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| 关 键 词： | 非线性方程组 信赖域方法 全局收敛性 Q-二阶收敛速度 |
| 文章编号： | 1008-1402（2005）04-0628-02 |
| 收稿时间： | 2005-07-06 |
| 修稿时间： | 2005年7月6日 |
Self- trust Region Method for System of Nonlinear Equations and its Convergence |
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| LI Hong-wei,SHI Zhen-jun,ZHENG Zuo-kui.Self- trust Region Method for System of Nonlinear Equations and its Convergence[J].Journal of Jiamusi University(Natural Science Edition),2005,23(4):628-629. |
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| Authors: | LI Hong-wei SHI Zhen-jun ZHENG Zuo-kui |
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| Institution: | 1.College of Operations Research and Management,Qufu Normal University;Rizhao 276826,China;2.The Second Middle School of Feixian,Shandong 273400,China |
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| Abstract: | This paper presents a new self- adaptive trust region method for system of nonlinear equations and proves the global convergence and convergence rate trader mild conditions. The advantage of this new algorithm is that the trust region radius is easier to calculate than those with other similar methods. In this paper, the new self- trust region method is compared with traditional trust region method, and the trust region radius is incorporated to the above iterative point. It is more useful in practice. |
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| Keywords: | Nonlinear equations trust region method local error bound quadratic convergence rate |
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