Browsing by Author "Tor, A.H."

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    Article
    Hyperbolic Smoothing Method for Sum-Max Problems
    (Dynamic Publishers, 2016) Tor, A.H.
    In this study, an approach for solving non-smooth optimization problem which includes sum of finite maximums of smooth functions is proposed. Minimum l1-norm approximations is a particular case of this problem. In this approach, the problem is reformulated in order to use the hyperbolic smoothing function and the relationship between the original problem and reformulated problem are proved. This approach allows us to use conventional smooth optimization methods. ©Dynamic Publishers, Inc.
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    Conference Object
    Truncated Codifferential Method for Linearly Constrained Nonsmooth Optimization
    (Vilnius Gediminas Technical University, 2010) Tor, A.H.; Karasözen, B.; Bagirov, A.
    In this paper a new algorithm is developed to minimize linearly constrained non-smooth optimization problem for convex objective functions. The algorithm is based on the concept of codifferential. The convergence of the proposed minimization algorithm is proved and results of numerical experiments using a set of test problems with nonsmooth convex objective function are reported. © Izmir University of Economics, Turkey, 2010.