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开关算法的超线性收敛证明
引用本文:王效俐,吴健中.开关算法的超线性收敛证明[J].上海交通大学学报,1996,30(5):96-102.
作者姓名:王效俐  吴健中
作者单位:上海交通大学系统工程研究所,上海铁道大学
摘    要:给出Broyden算法类中两个新开关算法,在一些基本假设下,证明了开关算法的变尺度矩阵一致有界及其超线性收敛性。

关 键 词:开关算法  有界性  超线性收敛

Proof of Superlinear Convergence of Switching Methods
Wang Xiaoli, Wu Jianzhong.Proof of Superlinear Convergence of Switching Methods[J].Journal of Shanghai Jiaotong University,1996,30(5):96-102.
Authors:Wang Xiaoli  Wu Jianzhong
Abstract:Two new Broyden Quai-Newton algorithms' switching methods are described in this paper. Under some assumptions, it has been proved that the two methods with Wolfe's non-exact line searches have two properties: one is their surperlinear convergence, and the other is the uniform boundness of their variable-metric matrix.
Keywords:s: switching method  boundness  surperlinear convergence
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