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A note on “A globally convergent BFGS method with nonmonotone line search for non-convex minimization”

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成果类型:
期刊论文
作者:
Zhang, Li*;Chen, Xinlong
通讯作者:
Zhang, Li
作者机构:
[Zhang, Li; Chen, Xinlong] Changsha Univ Sci & Technol, Dept Math, Changsha 410004, Hunan, Peoples R China.
通讯机构:
[Zhang, Li] C
Changsha Univ Sci & Technol, Dept Math, Changsha 410004, Hunan, Peoples R China.
语种:
英文
关键词:
BFGS method;Global convergence;Nonmonotone line search
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2012
卷:
219
期:
2
页码:
764-766
基金类别:
This work was supported by the NSF foundation ( 10901026 ) of China and The Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this note, we point out that Assumptions 3.1, 3.2 in [Y. Xiao, H. Sun, Z. Wang, A globally convergent BFGS method with nonmonotone line search for non-convex minimization, J. Comput. Appl. Math. 230 (2009) 95-106] are not enough to guarantee the global convergence result Theorem 3.1 in [1]. We present a new assumption and show that the proposed method in [1] still converges globally under these three assum...

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