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Some Properties of Smooth Convex Functions and Newton’s Method |
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| Authors: | Denisov D V Evtushenko Yu G Tret’yakov A A |
| Institution: | 1.Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia ;2.Dorodnicyn Computing Centre, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, 119333, Moscow, Russia ;3.Moscow Institute of Physics and Technology (National Research University), 141700, Dolgoprudnyi, Moscow oblast, Russia ;4.Moscow Aviation Institute (National Research University), 125080, Moscow, Russia ;5.System Research Institute, Polish Academy of Sciences, 01-447, Warsaw, Poland ;6.Faculty of Sciences, Siedlce University, 08-110, Siedlce, Poland ; |
| Abstract: | Doklady Mathematics - New properties of convex infinitely differentiable functions related to extremal problems are established. It is shown that, in a neighborhood of the solution, even if the... |
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