Monday, 16:15 - 16:40 h, Room: H 0107

 

Masoud Ahookhosh
An improved nonmonotone technique for both line search and trust-region frameworks

Coauthors: Nosratipour Hadi, Amini Keyvan

 

Abstract:
The nonmonotone iterative approaches are efficient techniques for solving optimization problems avoiding a monotone decrease in the sequence of function values. It has been believed that the nonmonotone strategies not only can enhance the likelihood of finding the global optimum but also can improve the numerical performance of approaches. Furthermore, the traditional nonmonotone strategy contains some disadvantages encountering with some practical problems. To overcome these drawbacks, some different nonmonotone strategies have proposed with more encouraging results. This study concerns with explorations on reasons of disadvantages of the traditional nonmonotone technique and introduce a variant version which mostly avoids the drawbacks of original one. Then we incorporate it into both line search and trust-region frameworks to construct more reliable approaches. The global convergence to first-order and second-order stationary points are investigated under some classical assumptions. Preliminary numerical experiments indicate the efficiency and the robustness of the proposed approaches for solving unconstrained nonlinear optimization.

 

Talk 3 of the contributed session Mon.3.H 0107
"Methods for nonlinear optimization III" [...]
Cluster 16
"Nonlinear programming" [...]

 

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