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Nonmonotone trust region algorithm for unconstrained optimization problems
Authors:Wu Qing-jun
Affiliation:Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi 537000, China
Abstract:In this paper, a nonmonotone trust region algorithm for unconstrained optimization problems is presented. In the algorithm, a kind of nonmonotone technique, which is evidently different from Grippo, Lampariello and Lucidi’s approach, is used. Under mild conditions, global and local convergence results of the algorithm are established. Preliminary numerical results show that the new algorithm is efficient.
Keywords:Trust region method   Unconstrained optimization   Nonmonotone technique   Global convergence   Superlinear convergence
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