Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 60, Issue 3, Pages 411-422Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.04.034
Keywords
Unconstrained optimization; Trust region method; Nonmonotone technique; Global convergence; Superlinear convergence; Quadratic convergence
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In this paper, we incorporate a nonmonotone technique with the new proposed adaptive trust region radius (Shi and Guo, 2008) [4] in order to propose a new nonmonotone trust region method with an adaptive radius for unconstrained optimization. Both the nonmonotone techniques and adaptive trust region radius strategies can improve the trust region methods in the sense of global convergence. The global convergence to first and second order critical points together with local superlinear and quadratic convergence of the new method under some suitable conditions. Numerical results show that the new method is very efficient and robustness for unconstrained optimization problems. (C) 2010 Elsevier Ltd. All rights reserved.
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