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

✍ Scribed by Yunhai Xiao; Huijuan Sun; Zhiguo Wang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
626 KB
Volume
230
Category
Article
ISSN
0377-0427

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✦ Synopsis


a c t

In this paper, we propose a modified BFGS (Broyden-Fletcher-Goldfarb-Shanno) method with nonmonotone line search for unconstrained optimization. Under some mild conditions, we show that the method is globally convergent without a convexity assumption on the objective function. We also report some preliminary numerical results to show the efficiency of the proposed method.