Образец цитирования:
В. Л. Левин, “Применение теоремы Э. Хелли в выпуклом программировании, задачах наилучшего приближения и смежных вопросах”, Матем. сб., 79(121):2(6) (1969), 250–263; V. L. Levin, “Application of E. Helly's theorem to convex programming, problems of best approximation and related questions”, Math. USSR-Sb., 8:2 (1969), 235–247
\RBibitem{Lev69}
\by В.~Л.~Левин
\paper Применение теоремы Э.~Хелли в~выпуклом программировании, задачах наилучшего приближения и~смежных вопросах
\jour Матем. сб.
\yr 1969
\vol 79(121)
\issue 2(6)
\pages 250--263
\mathnet{http://mi.mathnet.ru/sm3588}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=249110}
\zmath{https://zbmath.org/?q=an:0187.17602|0195.21004}
\transl
\by V.~L.~Levin
\paper Application of E.~Helly's theorem to convex programming, problems of best approximation and related questions
\jour Math. USSR-Sb.
\yr 1969
\vol 8
\issue 2
\pages 235--247
\crossref{https://doi.org/10.1070/SM1969v008n02ABEH001118}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sm3588
https://www.mathnet.ru/rus/sm/v121/i2/p250
Эта публикация цитируется в следующих 28 статьяx:
Vo Si Trong Long, “On Global Error Bounds for Convex Inequalities Systems”, J Optim Theory Appl, 2024
O. I. Kostyukova, T. V. Tchemisova, O. S. Dudina, “On the Uniform Duality in Copositive Optimization”, J Optim Theory Appl, 2024
O. I. Kostyukova, T. V. Tchemisova, “An exact explicit dual for the linear copositive programming problem”, Optim Lett, 17:1 (2023), 107
Le Xie, Ram Rajagopal, Yang Weng, Power Electronics and Power Systems, Data Science and Applications for Modern Power Systems, 2023, 243
Abderrahim Hantoute, Marco A. López-Cerdá, Springer Proceedings in Mathematics & Statistics, 424, Functional Analysis and Continuous Optimization, 2023, 167
Olga Kostyukova, Tatiana Tchemisova, “Regularization Algorithms for Linear Copositive Programming Problems: An Approach Based on the Concept of Immobile Indices”, Algorithms, 15:2 (2022), 59
A. Hantoute, M. A. López-Cerdá, “New Tour on the Subdifferential of Supremum via Finite Sums and Suprema”, J Optim Theory Appl, 193:1-3 (2022), 81
O. I. Kostyukova, T. V. Tchemisova, “On strong duality in linear copositive programming”, J Glob Optim, 83:3 (2022), 457
Olga I. Kostyukova, Tatiana V. Tchemisova, “Regularization algorithms for linear copositive problems”, RAIRO-Oper. Res., 56:3 (2022), 1353
O. I. Kostyukova, T. V. Tchemisova, “Optimality conditions for convex Copositive Programming”, Тр. Ин-та матем., 29:1-2 (2021), 165–175
O. I. Kostyukova, T. V. Chemisova, “Linear semidefinite programming problems: regularisation and strong dual formulations”, Журн. Белорус. гос. ун-та. Матем. Инф., 3 (2020), 17–27
Feng Guo, Xiaoxia Sun, “On semi-infinite systems of convex polynomial inequalities and polynomial optimization problems”, Comput Optim Appl, 75:3 (2020), 669
Jakub Kudela, Pavel Popela, “Pool & Discard Algorithm for Chance Constrained Optimization Problems”, IEEE Access, 8 (2020), 79397
O. I. Kostyukova, T. V. Tchemisova, O. S. Dudina, “Immobile Indices and CQ-Free Optimality Criteria for Linear Copositive Programming Problems”, Set-Valued Var. Anal, 28:1 (2020), 89
O. I. Kostyukova, T. V. Tchemisova, “Generalized problem of linear copositive programming”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 55:3 (2019), 299
Mohammad Sadegh Modarresi, Le Xie, Marco Claudio Campi, Simone Garatti, Algo Care, Anupam A. Thatte, P. R. Kumar, “Scenario-Based Economic Dispatch With Tunable Risk Levels in High-Renewable Power Systems”, IEEE Trans. Power Syst., 34:6 (2019), 5103
Olga Kostyukova, Tatiana Tchemisova, “Optimality Conditions for Convex Semi-infinite Programming Problems with Finitely Representable Compact Index Sets”, J Optim Theory Appl, 175:1 (2017), 76
Sergio Grammatico, Xiaojing Zhang, Kostas Margellos, Paul Goulart, John Lygeros, “A Scenario Approach for Non-Convex Control Design”, IEEE Trans. Automat. Contr., 2015, 1
A. Carè, S. Garatti, M. C. Campi, “Scenario Min-Max Optimization and the Risk of Empirical Costs”, SIAM J. Optim., 25:4 (2015), 2061
Chong Li, K. F. Ng, “Subdifferential Calculus Rules for Supremum Functions in Convex Analysis”, SIAM J. Optim, 21:3 (2011), 782