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

被引：0

作者：

Zhang, Li ^{[1
]}

Chen, Xinlong ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410004, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 02期

关键词：

BFGS method; Nonmonotone line search; Global convergence;

D O I：

10.1016/j.amc.2012.06.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 assumptions. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：764 / 766

页数：3

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