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Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method

Авторы: Gornov A. Yu., Anikin A. S. , Andrianov A. N.

Журнал: Computational Mathematics and Mathematical Physics

Том: 61

Номер:

Год: 2021

Отчётный год: 2021

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Аннотация: A modification of Polyak’s special method of convex optimization is proposed. The properties of the corresponding algorithm are studied by computational experiments for convex separable and nonseparable optimization problems, nonconvex optimization problems for the potentials of atomic-molecular clusters, and a model optimal control problem. Sequential and parallel versions of the algorithm have been implemented, which made it possible to solve problems with dimensions of up to one hundred billion variables.

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