Global convergence analysis of a new nonmonotone BFGS algorithm on convex objective functions

Global convergence analysis of a new nonmonotone BFGS algorithm on convex objective functions

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Article ID: iaor19981458
Country: Netherlands
Volume: 7
Issue: 3
Start Page Number: 277
End Page Number: 289
Publication Date: May 1997
Journal: Computational Optimization and Applications
Authors: ,
Abstract:

In this paper, a new nonmonotone Broyden–Fletcher–Goldfarb–Shanno algorithm for unconstrained optimization is introduced. Under mild conditions, the global convergence of this new algorithm on convex functions is proved. Some numerical experiments show that this new nonmonotone BFGS algorithm is competitive to the BFGS algorithm.

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