глобальная оптимизация,
численные вычисления с бесконечно большими и бесконечно малыми величинами,
параллельные вычисления,
теория множеств,
философия математики,
интервальный анализ,
фракталы и их приложения.
Глобальная оптимизация; численные вычисления с бесконечно большими и бесконечно малыми величинами; параллельные вычисления; теория множеств; теория чисел; фракталы и их приложения; философия математики; интервальный анализ.
Научная биография:
Защитил докторскую диссертацию на тему "Параллельные вычисления и локальная информация для решения задач глобальной оптимизации" в МГУ им. М. В. Ломоносова (1996). Профессор Нижегородского государственного университета им. Н. И. Лобачевского (1997).
Избран Членом-Корреспондентом итальянской Академии наук Accademia Peloritana dei Pericolanti, 2020.
Избран Президентом Международного Общества Глобальной Оптимизации (http://www.globaloptimization.org), 2017.
Отмечен международной премией Хорезми правительства Ирана, 2017.
Входит в Топ-100 российских учёных по индексу Хирша по данным elibrary.ru в разделе "Математика" с 2017 г.
Почетный работник сферы образования Российской Федерации, 2017.
Входит в Топ-100 самых цитируемых российских учёных по данным elibrary.ru в разделах "Информатика" и "Кибернетика" с 2016 г.
Входит в Топ-100 российских учёных по индексу Хирша по данным elibrary.ru в разделах "Информатика" и "Кибернетика" с 2016 г.
Избран Почетным Членом отделения непрерывной оптимизации Европейского Общества Исследования Операций (EUROPT Fellow), 2016.
Избран Вице-Президентом Международного Общества Глобальной Оптимизации, 2016.
Избран Почетным Членом (Honorary Fellow) Европейского Общества Вычислительных Методов в Науке, Инженерном деле и Технологии за выдающиеся достижения в прикладной математике и численном анализе. Титул Honorary Fellow является высшей наградой Общества, 2015.
Книга Лолли Г. Философия математики: наследие двадцатого столетия / пер с итал. А.Л. Сочкова, С.М. Антакова; под ред. Я.Д. Сергеева. – Н. Новгород: Издательство Нижегородского госуниверситета им. Н.И. Лобачевского, 2012. – 299 с. стала победителем VII Общероссийского конкурса для высших учебных заведений «Университетская книга–2015» в номинации "Лучшее переводное издание".
Отмечен премией за лучшую статью, опубликованную в международном журнале Journal of Global Optimization. Статья R. Paulavicius, Ya.D. Sergeyev, D.E. Kvasov, J. Zilinskas, Globally-biased DISIMPL algorithm for expensive global optimization, Journal of Global Optimization, 2014, volume 59, pages 545-567.
Отмечен премией международного конгресса the World Congress in Computer Science, Computer Engineering, and Applied Computing (США, 2015).
Присвоена степень почетного доктора института кибернетики им. В. М. Глушкова НАН Украины, Киев, 2013.
Отмечен международной премией Пифагора, г. Кротоне, Италия, (Premio Internazionale Pitagora per la matematica), 2010.
Отмечен премией международного конгресса WORLDCOMP (США, 2010 г.) за разработку Компьютера Бесконечности (запатентован в РФ, ЕС и США).
Отмечен Почетной Лекцией Лагранжа, присуждаемой совместно Туринским университетом и Туринским политехническим университетом, 2010.
Отмечен honorary plate университетом Dokuz Eylul University, Измир, Турция, 2009.
Отмечен премией МАИК "Наука" за монографию Сергеев Я. Д., Квасов Д. Е., Диагональные методы глобальной оптимизации, Физматлит, М. 2008, 352 с.
Отмечен премией РФФИ за научно-популярную статью Сергеев Я. Д., Квасов Д. Е. "Глобальная оптимизация и условие Липшица", 2008.
Отмечен honorary plaque на всемирной мултиконференции WMSCI 2008 (Orlando, USA).
Правительством Италии ему присуждено звание выдающегося профессора (professore ordinario di chiara fama internazionale), 2002 г.
Под его руководством студенческое конструкторское бюро "Аналитик" дважды становилось лауреаторм всесоюзных конкурсов на лучший программный продукт в области образования (1989, 1990 гг.).
Награжден медалью Всероссийского Выставочного Центра (Москва, 1992).
Является Координатором международной программы "Российско-Итальянский Университет" (с 1994 г.). Являлся членом ученого совета Института системного анализа и информационных технологий Итальянского Национального Научного Совета (1994–2002).
Член диссертационного совета Д 212.166.20 а также диссертационных советов по специальности "Исследование операций" Римского университета "La Sapienza" (2002–2008) и Калабрийского университета по специальности "Информатика" (2008–настоящее время).
Член редакционных коллегий Вестника ННГУ "Математическое моделирование и оптимальное управление" (1999–2006) и международных журналов: Optimization Letters, Springer (2007–настоящее время), Journal of Global Optimization, Springer (2008–настоящее время), Annali dellUniversita di Ferrara, Sezione VII – Scienze Matematiche, Springer (2008–настоящее время), Numerical Algebra, Control and Optimization, American Institute of Mathematical Sciences (2010–настоящее время), Applied Mathematics and Computation, Elsevier (2014–настоящее время), International Journal of Unconventional Computing, Old City Publishing (2016–настоящее время), Mediterranean Journal of Mathematics, Springer (2019–настоящее время), SN Operations Research Forum, Springer (2019–настоящее время).
Managing Guest-Editor (with R. De Leone and A.A. Zhigljavsky Guest-Editors) of the special issue of the Journal of Global Optimization, Volume 71(1), 2018.
Managing Guest-Editor (with L. Brugnano and D.E. Kvasov Guest-Editors) of the special issue of the journal Applied Mathematics and Computation, Volume 318 (2018).
Guest-Editor of the special issue “Recent developments in non-linear and global optimization”, Optimization Letters, 10, 215–218, (2016).
Managing Guest-Editor (with R. De Leone and D.E. Kvasov Guest-Editors) of the special issue of the journal Applied Mathematics and Computation, Volume 255 (2015). Managing Guest-Editor (with L. Brugnano and A.A. Zhigljavsky Guest-Editors) of the journal Communications in Nonlinear Science and Numerical Simulation, 21(1-3), 2015. Редактор (совместно Р. Дэ Леонэ и А.А. Жиглявским) специального выпуска журнала Applied Mathematics and Computation, 2012, 218(17). Редактор (совместно П. М. Пардалосом) специального выпуска журнала Journal of Global Optimization, 2010, 48(1).
Редактор (совместно с Р. Флетчером, В. Ружжеро и Р. Г. Стронгиным) специального выпуска журнала Optimization Methods and Software, Volume 20, Numbers 4–5, 2004.
Рецензент Журнала Вычислительной Математики и Математической Физики, а также международных журналов: Algorithms, Applied Mathematics and Computation, Applied Mathematics & Information Sciences, Applied Numerical Mathematics, Automation and Remote Control, Applied Soft Computing, Central European Journal of Operations Research, Chemical Engineering Science, Communications in Nonlinear Science and Numerical Simulation, Computational Intelligence and Neuroscience, Computational Optimization and Applications, Computer Physics Communications, Computers & Operations Research, Data Technologies and Applications, Discrete Dynamics in Nature and Society, Entropy, EURO Journal on Computational Optimization, European Journal of Operational Research, Expert Systems with Applications, Heliyon, IEEE Access, Information Sciences, INFORMS Journal on Computing, Journal of Computational and Applied Mathematics, Journal of Computational Science, Journal of Computer Networks and Communications, Journal of Global Optimization, Journal of Mathematical Analysis and Applications, Journal of Number Theory, Journal of Numerical Analysis, Industrial and Applied Mathematics, Journal of Optimization Theory and Applications, Machine Learning and Knowledge Extraction, Mathematical Biosciences, Mathematical Problems in Engineering, Mathematical Programming, Mathematics, Nature Scientific Reports, Numerical Algorithms, Optimization, Optimization Letters, Optimization Methods and Software, p-Adic Numbers, Ultrametric Analysis and Applications, SIAM Journal on Matrix Analysis and Applications, SIAM Journal on Optimization, Soft Computing, Sustainability, Technological and Economic Development of Economy, Vietnam Journal of Mathematics.
Исследования неоднократно поддерживались российскими и международными грантами, результаты докладывались на конференциях в России и за ее пределами (более 60 пленарных докладов). По тематике научных исследований читал лекции в Австралии, Великобритании, Италии, США, Японии и других странах. Председатель программных комитетов 11 международных конференций и член программных и организационных комитетов более 70 международных конференций.
Исследования освещались следующими средствами массовой информации: Российская Газета, ИТАР-ТАСС, РИА Новости, телеканал "Культура" (в том числе лекция в программе "Академия"), Ведомости, Известия: Наука, Компьютерра, Наука и Жизнь, Открытые системы, New Scientist, Calabria Ora, Computerworld, Il Quotidiano, IlSole24Ore, Gazzetta del Sud, Gazzettino Europeo, Panorama, Quale Computer, Radio24, Italian applications, Italia Oggi, IpFrontline, Haberhurriyeti, Key4biz: Knowledge for Business, RadioCitta-Fujiko, Tutto Misure, MF — Milano Finanza и т.д.
Опубликовал более 250 научных работ, среди которых шесть книг, четыре патента (РФ, ЕС и США) и более 100 статей в международных журналах. Разработанное программное обеспечение используется более чем в 40 странах мира.
Основные публикации:
Sergeyev Ya. D., Kvasov D. E., Deterministic global optimization: An introduction to the diagonal approach, Springer, New York, 2017, x+136 pp.
Sergeyev Ya. D., Strongin R. G., Lera D., Introduction to Global Optimization Exploiting Space-Filling Curves, Springer, New York, 2013, 135 pp.
Сергеев Я. Д., Квасов Д. Е., Диагональные методы глобальной оптимизации, Физматлит, М., 2008, 352 с.
Strongin R. G., Sergeyev Ya. D., Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 2000, 728 pp.
Sergeyev Ya. D., “A new applied approach for executing computations with infinite and infinitesimal quantities”, Informatica, 19:4 (2008), 567–596
M. Cococcioni, A. Cudazzoa, M. Pappalardo, Ya. D. Sergeyev, “Solving the Lexicographic Multi-Objective Mixed-Integer Linear Programming Problem using branch-and-bound and grossone methodology”, Communications in Nonlinear Science and Numerical Simulation, 84, May (2020), 105177 (cited: 1) (cited: 9)
2.
R. Paulavičius, Ya. D. Sergeyev, D. E. Kvasov, Ju. Žilinskas, “Globally-biased BIRECT algorithm with local accelerators for expensive global optimization”, Expert Systems with Applications, 144 (2020), 113052 (cited: 1) (cited: 3)
3.
F. Iavernaro, F. Mazzia, M. S. Mukhametzhanov, Ya. D. Sergeyev, “Conjugate-symplecticity properties of Euler–Maclaurin methods and their implementation on the Infinity Computer”, Applied Numerical Mathematics, 2020 (to appear) (cited: 2) (cited: 11)
2019
4.
Sergeyev Ya.D., “Independence of the grossone-based infinity methodology from non-standard analysis and comments upon logical fallacies in some texts asserting the opposite”, Foundations of Science, 24:1 (2019), 153–170http://wwwinfo.deis.unical.it/~yaro/Fallacies final.pdf (cited: 4) (cited: 11)
5.
R. Cavoretto, A. De Rossi, M. S. Mukhametzhanov, Ya. D. Sergeyev, “On the search of the shape parameter in radial basis functions using univariate global optimization methods”, Journal of Global Optimization, 2019, 23 pp. (cited: 4) (cited: 5)
2018
6.
Cococcioni M., Pappalardo M., Sergeyev Ya.D., “Lexicographic multiobjective linear programming using grossone methodology: Theory and algorithm”, Applied Mathematics and Computation, 318 (2018), 298–311http://wwwinfo.deis.unical.it/~yaro/Lexico.pdf (cited: 17) (cited: 28)
7.
Grishagin V.A., Israfilov R., Sergeyev Ya.D., “Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes”, Applied Mathematics and Computation, 318 (2018), 270–280http://wwwinfo.deis.unical.it/~yaro/Grishagin Israfilov Sergeyev.pdf (cited: 9) (cited: 18)
8.
Sergeyev Ya.D., “Book review: Non-convex multi-objective optimization, by Panos M. Pardalos, Antanas Žilinskas, Julius Žilinskas, New York, Springer”, Optimization Methods & Software, 33:2 (2018), 416–417
9.
Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E., “On the efficiency of nature-inspired metaheuristics in expensive global optimization with limited budget”, Scientific Reports, 8 (2018), 453 https://www.nature.com/articles/s41598-017-18940-4.pdf (cited: 38) (cited: 49)
10.
Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S., “On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales”, Communications in Nonlinear Science and Numerical Simulation, 59 (2018), 319–330http://wwwinfo.deis.unical.it/~yaro/SKM_homogeneity.pdf (cited: 9) (cited: 22)
11.
De Leone R., Fasano G., Sergeyev Ya.D., “Planar methods and grossone for the Conjugate Gradient breakdown in nonlinear programming”, Computational Optimization and Applications, 71:1 (2018), 73–93http://wwwinfo.deis.unical.it/~yaro/Planar.pdf (cited: 3) (cited: 11)
12.
Lera D., Sergeyev Ya.D., “GOSH: derivative-free global optimization using multi-dimensional space-filling curves”, Journal of Global Optimization, 71:1 (2018), 193–211http://wwwinfo.deis.unical.it/~yaro/SetLipimprove.pdf (cited: 9) (cited: 10)
Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E., “Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms”, Mathematics and Computers in Simulation, 141 (2017), 96–109 (cited: 19) (cited: 22)
15.
Amodio, P., Iavernaro, F., Mazzia, F., Mukhametzhanov, M.S., Sergeyev, Ya.D., “A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic”, Mathematics and Computers in Simulation, 141 (2017), 24–39http://wwwinfo.deis.unical.it/~yaro/gross_taylor.pdf (cited: 19) (cited: 31)
16.
Sergeyev Ya.D., “Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems”, EMS Surveys in Mathematical Sciences, 4:2 (2017), 219–320http://wwwinfo.deis.unical.it/~yaro/EMSS_Sergeyev.pdf (cited: 11)
17.
Adamatzky, A., Akl, S., Burgin, M., Calude, C.S., Costa, Josй.Fй., Dehshibi, M.M., Gunji, Y.-P., Konkoli, Z., MacLennan, B., Marchal, B., Margenstern, M., Martнnez, G.J., Mayne, R., Morita, K., Schumann, A., Sergeyev, Y.D., Sirakoulis, G.C., Stepney, S., Svozil, K., Zenil, H., “East-West paths to unconventional computing”, Progress in Biophysics and Molecular Biology, 131 (2017), 469–493https://www.researchgate.net/publication/319123019_East-West_Paths_to_Unconventional_Computing (цит.: 3) (цит.: 4)
18.
Iudin D.I., Sergeyev Ya.D., “Percolation transition and related phenomena in terms of grossone infinity computations”, Advances in Unconventional Computing, Emergence, Complexity and Computation, 22, ed. A. Adamatzky, 2017, 239–266
2016
19.
Sergeyev Ya.D., “The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area”, Communications in Nonlinear Science and Numerical Simulation, 31:1-3 (2016), 21–29http://wwwinfo.deis.unical.it/~yaro/Koch.pdf (cited: 20) (cited: 25)
20.
Sergeyev Ya.D., Mukhametzhanov M.S., Mazzia F., Iavernaro F., Amodio P., “Numerical methods for solving initial value problems on the Infinity Computer”, International Journal of Unconventional Computing, 12:1 (2016), 3–23http://wwwinfo.deis.unical.it/~yaro/ODEs_2.pdf
21.
Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E., Lera D., “Derivative-free local tuning and local improvement techniques embedded in the univariate global optimization”, Journal of Optimization Theory and Applications, 171:1 (2016), 186–208http://wwwinfo.deis.unical.it/~yaro/JOTA 2016.pdf (cited: 17) (cited: 28)
Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S., “On the least-squares fitting of data by sinusoids”, Advances in Stochastic and Deterministic Global Optimization, Optimization and Its Applications, 107, eds. Pardalos P.M., Zhigljavsky A., Žilinskas J., Springer, 2016, 209–226 (cited: 6) (cited: 7)
2015
24.
Iudin D.I., Sergeyev Ya.D. Hayakawa M., “Infinity computations in cellular automaton forest-fire model”, Communications in Nonlinear Science and Numerical Simulation, 20:3 (2015), 861–870http://wwwinfo.deis.unical.it/~yaro/Forest Paper.PDF (cited: 32) (cited: 37)
25.
Sergeyev Ya.D., “The Olympic medals ranks, lexicographic ordering and numerical infinities”, The Mathematical Intelligencer, 37:2 (2015), 4–8http://wwwinfo.deis.unical.it/~yaro/Medals.pdf (cited: 15) (cited: 17)
Lera D., Sergeyev Ya.D., “Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants”, Communications in Nonlinear Science and Numerical Simulation, 23 (2015), 328–342http://wwwinfo.deis.unical.it/~yaro/SetLipschitz.pdf (cited: 21) (cited: 29)
28.
Kvasov D.E., Sergeyev Ya.D., “Deterministic approaches for solving practical black-box global optimization problems”, Advances in Engineering Software, 80 (2015), 58–66 (cited: 34) (cited: 39)
29.
Sergeyev Ya.D., Kvasov D.E., “A deterministic global optimization using smooth diagonal auxiliary functions”, Communications in Nonlinear Science and Numerical Simulation, 21 (2015), 99–111http://wwwinfo.deis.unical.it/~yaro/Smooth_N.pdf (cited: 38) (cited: 50)
30.
Sergeyev Ya.D., “Un semplice modo per trattare le grandezze infinite ed infinitesime”, La Matematica nella Societа e nella Cultura: Rivista dell'Unione Matematica Italiana, Serie I, 8 (2015), 111–147http://wwwinfo.deis.unical.it/~yaro/UMI_Sergeyev.pdf
31.
Ya.D. Sergeyev, A. Garro, “The Grossone methodology perspective on Turing machines”, Automata, Universality, Computation, Emergence, Complexity and Computation, 12, ed. A. Adamatzky, Springer, 2015, 139–169 (cited: 5)
2014
32.
Paulavičius R., Sergeyev Ya.D., Kvasov D.E., Žilinskas J., “Globally-biased DISIMPL algorithm for expensive global optimization”, Award: The Best Paper published in Journal of Global Optimization in 2014, Journal of Global Optimization, 59:2-3 (2014), 545–567 (cited: 63) (cited: 74)
33.
Gaudioso M., Malozemov V.N., Sergeyev Ya.D., “Vladimir Fedorovich Demyanov (18.08.1938-18.04.2014)”, Journal of Global Optimization, 60:3 (2014), 391–392
Д. Е. Квасов, Я. Д. Сергеев, “Методы липшицевой глобальной оптимизации в задачах управления”, Автомат. и телемех., 2013, № 9, 3–19 (цит.: 20) (цит.: 29) ; D. E. Kvasov, Ya. D. Sergeyev, “Lipschitz global optimization methods in control problems”, Autom. Remote Control, 74:9 (2013), 1435–1448 (cited: 29) (cited: 32)
36.
Lera D., Sergeyev Ya.D., “Acceleration of univariate global optimization algorithms working with Lipschitz functions and Lipschitz first derivatives”, SIAM Journal on Optimization, 23:1 (2013), 508–529http://wwwinfo.deis.unical.it/~yaro/smooth.pdf (cited: 44) (cited: 49)
37.
Sergeyev Ya.D., “Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer”, Applied Mathematics and Computation, 219:22 (2013), 10668–10681http://wwwinfo.deis.unical.it/~yaro/ODE.pdf (cited: 38) (cited: 46)
38.
Sergeyev Ya.D., Garro A., “Single-tape and multi-tape Turing machines through the lens of the Grossone methodology”, Journal of Supercomputing, 65:2 (2013), 645–663http://wwwinfo.deis.unical.it/~yaro/Turing_2.pdf (cited: 31) (cited: 35)
39.
Sergeyev Ya.D., “Numerical computations with infinite and infinitesimal numbers: Theory and applications”, Dynamics of Information Systems: Algorithmic Approaches, eds. Sorokin, A., Pardalos, P.M., Springer, New York, 2013, 1–66 (cited: 16)
2012
40.
Kvasov D.E., Sergeyev Ya.D., “Univariate geometric Lipschitz global optimization algorithms”, Numerical Algebra, Control and Optimization, 2:1 (2012), 69–90 (cited: 29)
41.
Kvasov D.E., Sergeyev Ya.D., “Lipschitz gradients for global optimization in a one-point-based partitioning scheme”, Journal of Computational and Applied Mathematics, 236:16 (2012), 4042–4054http://wwwinfo.deis.unical.it/~yaro/Global_derivativesN.pdf (cited: 42) (cited: 43)
42.
Iudin D.I., Sergeyev Ya.D., Hayakawa M., “Interpretation of percolation in terms of infinity computations”, Applied Mathematics and Computation, 218:16 (2012), 8099–8111http://wwwinfo.deis.unical.it/~yaro/Infinity_percolation.pdf (cited: 31) (cited: 38)
2011
43.
Sergeyev Ya.D., “On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function”, p-Adic Numbers, Ultrametric Analysis and Applications, 3:2 (2011), 129–148http://wwwinfo.deis.unical.it/~yaro/accuracy.pdf
44.
Sergeyev Ya.D., “Higher order numerical differentiation on the Infinity Computer”, Optimization Letters, 5:4 (2011), 575–585http://wwwinfo.deis.unical.it/~yaro/Num_dif.pdf (cited: 37) (cited: 50)
45.
Sergeyev Ya.D., “Using blinking fractals for mathematical modelling of processes of growth in biological systems”, Informatica, 22:4 (2011), 559–576http://si.deis.unical.it/~yaro/Biology.pdf (cited: 30)
46.
Sergeyev Ya.D., Kvasov D.E., “Lipschitz global optimization”, Wiley Encyclopaedia of Operations Research and Management Science, v. 4, eds. Cochran J.J., Cox L.A., Keskinocak P., Kharoufeh J.P., Smith J.C., John Wiley & Sons, New York, 2011, 2812–2828
2010
47.
Sergeyev Ya.D., “Counting systems and the First Hilbert problem”, Nonlinear Analysis Series A: Theory, Methods & Applications, 72:3-4 (2010), 1701–1708http://wwwinfo.deis.unical.it/~yaro/First.pdf (cited: 29) (cited: 35)
48.
Lera D., Sergeyev Ya.D., “Lipschitz and Holder global optimization using space-filling curves”, Applied Numerical Mathematics, 60:1-2 (2010), 115–129http://wwwinfo.deis.unical.it/~yaro/holdN.pdf (cited: 41) (cited: 49)
49.
Sergeyev Ya.D., Garro A., “Observability of Turing Machines: a refinement of the theory of computation”, Informatica, 21:3 (2010), 425–454http://wwwinfo.deis.unical.it/~yaro/PaperYSAG.pdf (cited: 35)
Lera D., Sergeyev Ya.D., “An information global minimization algorithm using the local improvement technique”, Journal of Global Optimization, 48:1 (2010), 99–112http://wwwinfo.deis.unical.it/~yaro/Sergeyev_Lera.pdf (cited: 21) (cited: 24)
2009
52.
Sergeyev Ya.D., “Numerical computations and mathematical modelling with infinite and infinitesimal numbers”, Journal of Applied Mathematics and Computing, 29 (2009), 177–195http://wwwinfo.deis.unical.it/~yaro/Calcolo.pdf (cited: 44)
53.
Kvasov D.E., Sergeyev Ya.D., “A univariate global search working with a set of Lipschitz constants for the first derivative”, Optimization Letters, 3:2 (2009), 303–318http://wwwinfo.deis.unical.it/~yaro/Global_derivatives.pdf (cited: 35) (cited: 38)
54.
Sergeyev Ya.D., “Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains”, Nonlinear Analysis Series A: Theory, Methods & Applications, 71:12 (2009), e1688–e1707http://wwwinfo.deis.unical.it/~yaro/Derivatives.pdf (cited: 48) (cited: 59)
55.
Sergeyev Ya.D., “Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge”, Chaos, Solitons & Fractals, 42 (2009), 3042–3046http://wwwinfo.deis.unical.it/~yaro/Extensions.pdf (cited: 35) (cited: 41)
56.
Sergeyev Ya.D., Kvasov D.E., “Lipschitz global optimization and estimates of the Lipschitz constant”, Global Optimization: Theory, Methods and Applications, I, Lecture Notes in Decision Sciences, 12, no. A, eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, Global Link Publ., Hong Kong, 2009, 518–521
57.
Sergeyev Ya.D., “The Infinity Computer and numerical computations with infinite and infinitesimal numbers”, Global Optimization: Theory, Methods and Applications, I, Lecture Notes in Decision Sciences, 12, no. B, eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, Global Link Publ, Hong Kong, 2009, 1026–1031
2008
58.
Sergeyev Ya.D., Kvasov D.E., Diagonal global optimization methods, MAIK “Nauka/Interperiodica” Prize for the best scientific monograph published in 2008, Fizmatlit, Moscow, 2008 http://www.fml.ru/book/showbook/1164 (in Russian)
59.
Sergeyev Ya.D., “Measuring fractals by infinite and infinitesimal numbers”, Mathematical Methods, Physical Methods & Simulation Science and Technology, 1:1 (2008), 217–237http://wwwinfo.deis.unical.it/~yaro/Spirals.pdf
60.
Sergeyev Ya.D., “A new applied approach for executing computations with infinite and infinitesimal quantities”, Informatica, 19:4 (2008), 567–596http://wwwinfo.deis.unical.it/~yaro/Numerical.pdf (cited: 62)
61.
Kvasov D.E., Menniti D., Pinnarelli A., Sergeyev Ya.D., Sorrentino N., “Tuning fuzzy power-system stabilizers in multi-machine systems by global optimization algorithms based on efficient domain partitions”, Electric Power Systems Research, 78:7 (2008), 1217–1229 (cited: 38) (cited: 43)
2007
62.
Sergeyev Ya.D., Kvasov D.E., Khalaf F.M.H., “A one-dimensional local tuning algorithm for solving GO problems with partially defined constraints”, Optimization Letters, 1:1 (2007), 85–99 (cited: 10) (cited: 11)
63.
Sergeyev Ya.D., “Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers”, Chaos, Solitons & Fractals, 33:1 (2007), 50–75http://wwwinfo.deis.unical.it/~yaro/Fractals.pdf (cited: 36) (cited: 41)
64.
Sergeyev Ya.D., Khalaf F.M.H., Kvasov D.E., “Univariate algorithms for solving global optimization problems with multiextremal non-differentiable constraints”, Models and Algorithms for Global Optimization, eds. Aimo Torn and Julius Zilinskas, Springer, 2007, 123–140
2006
65.
Carotenuto L., Pugliese P., Sergeyev Ya.D., “Maximizing performance and robustness of PI and PID controllers by global optimization”, International Journal of Control and Intelligent Systems, 34:3 (2006), 225–235
66.
Sergeyev Ya.D., “Univariate global optimization with multiextremal non-differentiable constraints without penalty functions”, Computational Optimization and Applications, 34:2 (2006), 229–248http://wwwinfo.deis.unical.it/~yaro/N_vincoli.zip (cited: 8)
67.
Sergeyev Ya.D., Kvasov D.E., “Global search based on efficient diagonal partitions and a set of Lipschitz constants”, SIAM Journal on Optimization, 16:3 (2006), 910–937http://wwwinfo.deis.unical.it/~yaro/SIAM_2006.pdf (cited: 98) (cited: 111)
68.
Sergeyev, Ya.D., “Mathematical foundations of the infinity computer”, Annales UMCS Informatica AI, 4 (2006), 20–33
69.
Sergeyev Ya.D., “Finding the minimal root of an equation: applications and algorithms based on Lipschitz condition”, (invited survey), Global Optimization - Scientific and Engineering Case Studies, ed. J.D. Pintér, Springer, 2006, 441–460
Sergeyev Ya.D., “Efficient partition of N-dimensional intervals in the framework of one-point-based algorithms”, Journal of Optimization Theory and Applications,, 124:2 (2005), 503–510http://wwwinfo.deis.unical.it/~yaro/RemarksPart.ps (cited: 9) (cited: 9)
Martinez J.A., Casado L.G., Garcia I., Sergeyev Ya.D., Toth B., “On an efficient use of gradient information for accelerating interval global optimization algorithms”, Numerical Algorithms, 37 (2004), 61–69 (цит.: 9) (цит.: 9)
74.
Famularo D., Pugliese P., Sergeyev Ya.D., “A global optimization technique for fixed-order control design”, International Journal of Systems Science, 35:7 (2004), 425–434 (cited: 5) (cited: 5)
Д. Е. Квасов, Я. Д. Сергеев, “Многомерный алгоритм глобальной оптимизации на основе адаптивных диагональных кривых”, Ж. вычисл. матем. и матем. физ., 43:1 (2003), 42–59 (цит.: 22) ; D. E. Kvasov, Ya. D. Sergeyev, “A multidimensional global optimization algorithm based on adaptive diagonal curves”, Comput. Math. Math. Phys., 43:1 (2003), 40–56
78.
Casado L.G., Garcнa I., Martнnez J.A., Sergeyev Ya.D., “New interval analysis support functions using gradient information in a global minimization algorithm”, Journal of Global Optimization, 25:4 (2003), 345–362http://wwwinfo.deis.unical.it/~yaro/jily6.ps.gz (цит.: 26) (цит.: 27)
79.
Kvasov D.E., Pizzuti C., Sergeyev Ya.D., “Local tuning and partition strategies for diagonal GO methods”, Numerische Mathematik, 94:1 (2003), 93–106http://wwwinfo.deis.unical.it/~yaro/division.ps (cited: 35) (cited: 41)
80.
Strongin R.G., Sergeyev Ya.D., “Global optimization: fractal approach and non-redundant parallelism”, Journal of Global Optimization, 27:1 (2003), 25–50http://wwwinfo.deis.unical.it/~yaro/GlobOptFractal.zip (cited: 19) (cited: 20)
81.
Sergeyev Ya.D., Pugliese P., Famularo D., “Index information algorithm with local tuning for solving multidimensional global optimization problems with multiextremal constraints”, Mathematical Programming, 96:3 (2003), 489–512http://wwwinfo.deis.unical.it/~yaro/vincoli_Peano.zip (cited: 13) (cited: 12)
82.
Gaviano M., Kvasov D.E., Lera D., Sergeyev Ya.D., “Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization”, ACM Transactions on Mathematical Software, 29:4 (2003), 469–480http://wwwinfo.deis.unical.it/~yaro/GKLS.html (cited: 118) (cited: 139)
2002
83.
Lera D., Sergeyev Ya.D., “Global minimization algorithms for Holder functions”, BIT Numerical Mathematics, 42:1 (2002), 119–133http://wwwinfo.deis.unical.it/~yaro/hold.ps (cited: 13) (cited: 12)
84.
Casado L.G., Garcнa I., Sergeyev Ya.D., “Interval algorithms for finding the minimal root in a set of multiextremal non-differentiable one-dimensional functions”, SIAM Journal on Scientific Computing, 24:2 (2002), 359–376http://wwwinfo.deis.unical.it/~yaro/siam_sc.pdf (цит.: 14) (цит.: 12)
85.
Famularo D., Sergeyev Ya.D., Pugliese P., “Test Problems for Lipschitz univariate global optimization with multiextremal constraints”, Stochastic and Global Optimization, eds. G. Dzemyda, V. Saltenis, and A. Zilinskas, Kluwer Academic Publishers, Dordrecht, 2002, 93–110http://wwwinfo.deis.unical.it/~yaro/tests.pdf
86.
Molinaro A., Pizzuti C., Sergeyev Ya.D., “A diagonal global optimization method”, Combinatorial and Global Optimization, eds. P.M. Pardalos, A. Migdalas, and R. Burkard, World Scientific, London, 2002, 251–263
2001
87.
Molinaro A., Pizzuti C., Sergeyev Ya.D., “Acceleration tools for diagonal information global optimization algorithms”, , Computational Optimization and Applications, 18:1 (2001), 5–26 (cited: 11) (cited: 11)
88.
Grishagin V.A., Sergeyev Ya.D., Silipo D., “Firms' R&D decisions under incomplete information”, European Journal of Operational Research, 129:2 (2001), 414–433 (cited: 9)
89.
Molinaro A., Sergeyev Ya.D., “An efficient algorithm for the zero-crossing detection in digitized measurement signal”, Measurement, 30:3 (2001), 187–196 (cited: 13) (cited: 15)
90.
Sergeyev Ya.D., Grishagin V.A., “Parallel asynchronous global search and the nested optimization scheme”, Journal of Computational Analysis & Applications, 3:2 (2001), 123–145 (cited: 29) (cited: 39)
91.
Sergeyev Ya.D., Famularo D., Pugliese P., “Index Branch-and-Bound Algorithm for Lipschitz univariate global optimization with multiextremal constraints”, Journal of Global Optimization, 21:3 (2001), 317–341 (cited: 32) (cited: 34)
92.
Molinaro A., Sergeyev Ya.D., “Finding the minimal root of an equation with the multiextremal and non-differentiable left-hand part”, Numerical Algorithms, 28 (2001), 255–272 (cited: 10) (cited: 11)
2000
93.
Strongin R.G., Sergeyev Ya.D., Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 2000 , 728 pp. ; 2nd ed., 2013; 3rd ed., 2014 http://wwwinfo.deis.unical.it/~yaro/book_2000.htm
94.
Casado L.G., Garcнa I., Sergeyev Ya.D., “Interval Branch and Bound global optimization for finding the first zero-crossing in one-dimensional functions”, Reliable Computing, 6:2 (2000), 179–191 (цит.: 5)
95.
Sergeyev Ya.D., “An efficient strategy for adaptive partition of N-dimensional intervals in the framework of diagonal algorithms”, Journal of Optimization Theory and Applications, 107:1 (2000), 145–168 (cited: 29) (cited: 32)
1999
96.
Ya. D. Sergeyev, “Multidimensional global optimization using the first derivatives”, Ж. вычисл. матем. и матем. физ., 39:5 (1999), 743–752 (цит.: 7) ; Comput. Math. Math. Phys., 39:5 (1999), 711–720
97.
Sergeyev Ya.D., Daponte P., Grimaldi D., Molinaro A., “Two methods for solving optimization problems arising in electronic measurements and electrical engineering”, SIAM Journal on Optimization, 10:1 (1999), 1–21 (cited: 30) (cited: 33)
98.
Gergel V.P., Sergeyev Ya.D., “Sequential and parallel global optimization algorithms using derivatives”, Computers & Mathematics with Applications, 37:4/5 (1999), 163–180
99.
Famularo D., Pugliese P., Sergeyev Ya.D., “A global optimization technique for checking parametric robustness”, Automatica, 35 (1999), 1605–1611 (cited: 25) (cited: 28)
100.
Sergeyev Ya.D., “Parallel information algorithm with local tuning for solving multidimensional GO problems”, Journal of Global Optimization, 15:2 (1999), 157–167 (cited: 6) (cited: 6)
101.
Famularo D., Pugliese P., Sergeyev Ya.D., “Control System Design via Global Optimization Techniques”, Progress in System and Robot Analysis and Control Design, eds. S.G. Tzafestas and G. Schmidt, Springer-Verlag, 1999, 107–116
1998
102.
Sergeyev Ya.D., Strongin R.G., Grishagin V.A., Introduction to parallel global optimization, Nizhni Novgorod University Press, Nizhni Novgorod, 1998 http://www.unn.ru/rus/books/book3.htm (in Russian)
Celani M., Cerulli R., Gaudioso M., Sergeyev Ya.D., “A multiplier adjustment technique for capacitated concentrator location problem”, Optimization Methods & Software, 10:1 (1998), 87–102 (cited: 1)
105.
Sergeyev Ya.D., “On convergence of “Divide the Best” global optimization algorithms”, Optimization, 44:3 (1998), 303–325 (cited: 32)
1997
106.
Grishagin V.A., Sergeyev Ya.D., Strongin R.G., “Parallel characteristical global optimization algorithms”, Journal of Global Optimization, 10 (1997), 185–206 (cited: 35) (cited: 49)
107.
Barkalov A.V., Grishagin V.A., Sergeyev Ya.D., Silipo D., “Game simulation in economic processes”, Chapter 7, Public Economics as a Complex System, ed. Yu.V. Trifonov, N. Novgorod State University Press, N. Novgorod, 1997, 239–263
108.
Sergeyev Ya.D., “A method using local tuning for minimizing functions with Lipschitz derivatives”, Developments in Global Optimization, eds. E. Bomze, T. Csendes, R. Horst and P.M. Pardalos, Kluwer Academic Publishers, 1997, 199–215
1996
109.
Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D., “Fast detection of the first zero-crossing in a measurement signal set”, Measurement, 19:1 (1996), 29–39 (cited: 23)
1995
110.
Ya. D. Sergeyev, “A one-dimensional deterministic global minimization algorithm”, Ж. вычисл. матем. и матем. физ., 35:5 (1995), 705–717 (цит.: 8) (цит.: 25); Comput. Math. Math. Phys., 35:5 (1995), 553–562 (cited: 25)
111.
Sergeyev Ya.D., “An information global optimization algorithm with local tuning”, SIAM Journal on Optimization, 5:4 (1995), 858–870 (cited: 59)
112.
Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D., “An algorithm for finding the zero crossing of time signals with Lipschitzean derivatives”, Measurement, 16:1 (1995), 37–49 (cited: 22)
113.
Sergeyev Ya.D., Markin D.L., “An algorithm for solving global optimization problems with nonlinear constraints”, Journal of Global Optimization, 4:4 (1995), 407–419 (cited: 12) (cited: 12)
1994
114.
Sergeyev Ya.D., Grishagin V.A., “A parallel algorithm for finding the global minimum of univariate functions”, Journal of Optimization Theory and Applications, 80:3 (1994), 513–536 (cited: 29) (cited: 32)
115.
Sergeyev Ya.D., Grishagin V.A., “Sequential and parallel global optimization algorithms”, Optimization Methods and Software, 3 (1994), 111–124 (cited: 21)
116.
Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D., “PNS: A dynamic mapping strategy for massively parallel computers”, Computers & Artificial Intelligence, 13:5 (1994), 477–494
Gergel V.P., Sergeyev Ya.D., Strongin R.G., “A parallel global optimization method and its implementation on a transputer system”, Optimization, 26 (1992), 261–275 (cited: 4)
1989
119.
Я. Д. Сергеев, Р. Г. Стронгин, “Алгоритм минимизации с параллельными итерациями”, Ж. вычисл. матем. и матем. физ., 29:3 (1989), 332–345 (цит.: 4) ; Ya. D. Sergeyev, R. G. Strongin, “A global minimization algorithm with parallel iterations”, U.S.S.R. Comput. Math. Math. Phys., 29:2 (1989), 7–15 (cited: 10) (cited: 15)
1988
120.
Strongin R.G., Sergeyev Ya.D., “Effective algorithm for global optimization with parallel computations”, Lecture Notes in Economics and Math. Systems, v. 304, Springer–Verlag, Berlin Heidelberg, 1988, 158–162
2020
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