Publication Details:
«ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա»-ն լույս է տեսնում 1966 թվականից՝ տարին 6 անգամ։
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Title:
Homotopic methods for semi-infinite optimization
Other title:
Гомотопические методы полубесконечной оптимизации / П. Космол, Д. Мюллер-Вихардс.
Creator:
P. Kosmol ; Muller-Wichards, D.
Contributor(s):
Գլխավոր խմբ․՝ Մ․ Մ․ Ջրբաշյան (1966-1994) ; Ռ․ Վ․ Համբարձումյան (1994-2009) ; Ա․ Ա․ Սահակյան (2010-)
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Abstract:
Semi-infinite optimizationproblems are reformulated as liner approximation problems with respect to the (sublinear) maximum functional. The resulting problem is still ill posed in the sense that the solutions are neither unique, nor is the functional differentiable. Using the idea of ther classical Polya-algorithm for best Lp- approximations, the reformulated problem is replaced by a sequence of well posed problems, where the stabilitytheorem of convex optimization ensures the closedness of the algorithm. Within a nonlinear version of Tychonovs regularization method, the convergence estimates we present yield actual convergence to a second stge solution of the original problem.
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Երևան
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ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան