| 非精确线性搜索条件下Broyden族方法总体收敛性的一种简单证明 |
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| 引用本文： | 杨正豪,孙文瑜.非精确线性搜索条件下Broyden族方法总体收敛性的一种简单证明[J].高等学校计算数学学报,2004,26(2):172-177. |
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| 作者姓名： | 杨正豪 孙文瑜 |
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| 作者单位： | 南京师范大学数学与计算机科学学院,南京,210097;淮阴师范学院数学系,淮安,223001;南京师范大学数学与计算机科学学院,南京,210097 |
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| 摘 要： | This paper gives a simpler proof of the global convergence of Broyden class quasi-Newton method with inexact line search. This proof generalizes and modifies the proof of the global convergence of BFGS method by Nocedal and Wright in 3].
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| 关 键 词： | 非精确线性搜索 Wolfe-Powell准则 收敛性 Hesse矩阵 目标函数 |
A SIMPLER PROOF OF GLOBAL CONVERGENCE OF BROYDEN CLASS WITH INEXACT LINE SEARCH |
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| Yang Zhenghao.A SIMPLER PROOF OF GLOBAL CONVERGENCE OF BROYDEN CLASS WITH INEXACT LINE SEARCH[J].Numerical Mathematics A Journal of Chinese Universities,2004,26(2):172-177. |
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| Authors: | Yang Zhenghao |
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| Abstract: | This paper gives a simpler proof of the global convergence of Broyden class quasi-Newton method with inexact line search. This proof generalizes and modifies the proof of the global convergence of BFGS method by Nocedal and Wright in 3]. |
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| Keywords: | inexact line search quasi-Newton method Wolfe-Powell condition global convergence |
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