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求解带界约束的非线性方程组的混合方法

A hybrid method for a system of nonlinear equations with bound constraints
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摘要 基于非单调技术和L-M算法,提出了一种新的求解带界约束的非线性方程组的混合方法.在一定条件下,该算法具有全局收敛性.数值试验表明该算法是有效的. Based on the nonmonotone technique and the Levenberg-Marquard method,this paper presents a new hybrid method for solving a system of nonlinear equations with bound constraints.Under some reasonable assumptions,the proposed algorithm is proven to be globally convergent.Preliminary numerical results indicate that this algorithm is effective.
作者 刘元文 欧宜贵
机构地区 海南大学信息科学技术学院
出处 《运筹学学报》 CSCD 北大核心 2015年第1期45-56,共12页 Operations Research Transactions
基金 国家自然科学基金(No.11261015) 海南省自然科学基金(No.111001)
关键词 非线性方程组 界约束 非单调技术 L-M算法 数值试验 nonlinear equations bound constraints nonmonotone technique LevenbergMarquard method numerical experiment
分类号 O221 [理学—运筹学与控制论]
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参考文献24

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运筹学学报
2015年 第1期

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