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A limited memory BFGS-type method for large-scale unconstrained optimization

✍ Scribed by Yunhai Xiao; Zengxin Wei; Zhiguo Wang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
408 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, a new numerical method for solving large-scale unconstrained optimization problems is presented. It is derived from a modified BFGS-type update formula by Wei, Li, and Qi. It is observed that the update formula can be extended to the framework of limited memory scheme with hardly more storage or arithmetic operations. Under some suitable conditions, the global convergence property is established. The implementations of the method on a set of CUTE problems indicate that this extension is beneficial to the performance of the algorithm.

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