A Nonmonotone Second-Order Steplength Method for Unconstrained Minimization

A Nonmonotone Second-Order Steplength Method for Unconstrained Minimization

Year:    2007

Author:    Qun-Yan Zhou, Wen-Yu Sun

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 104–112

Abstract

In this paper, a nonmonotone method based on McCormick's second-order Armijo's step-size rule [7] for unconstrained optimization problems is proposed. Every limit point of the sequence generated by using this procedure is proved to be a stationary point with the second-order optimality conditions. Numerical tests on a set of standard test problems are presented and show that the new algorithm is efficient and robust.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8677

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 104–112

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Nonmonotone method Armijo's line search Direction of negative curvature Unconstrained optimization.

Author Details

Qun-Yan Zhou

Wen-Yu Sun