01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
28.08.1963
E-mail:
Keywords:
global optimization,
infinity computing and calculus,
Infinity Computer,
parallel computing,
set theory,
number theory,
fractals and their applications, philosophy of mathematics,
interval analysis.
Global optimization, infinity computing and calculus, parallel computing, set theory, number theory, fractals and their applications, philosophy of mathematics, interval analysis.
Biography
Professor (1997), N. I. Lobachevsky State University of Nizhni Novgorod.
ACTIVITIES for JOURNALS
Member of the Editorial Boards of Mathematical Modelling and Optimal Control: Bulletin of the Nizhni Novgorod State University, Nizhni Novgorod University Press (1991–2006) and of international journals: Journal of Global Optimization, Springer (2008–now), Annali dellUniversita di Ferrara, Sezione VII — Scienze Matematiche, Springer (2008–now), Optimization Letters, Springer (2007–now), Numerical Algebra, Control and Optimization, published by the American Institute of Mathematical Sciences (2010-2022), Applied Mathematics and Computation, Elsevier (2014–now), International Journal of Unconventional Computing, Old City Publishing (2016–now), Mediterranean Journal of Mathematics, Springer (2019–now), SN Operations Research Forum, Springer (2019–now), Advances in Computational Intelligence, Springer (2020–now), Industrial & Management Optimization, American Institute of Mathematical Sciences (2021–now), Soft Computing, Springer (2021–now), Journal of Computational Mathematics and Data Science, Elsevier (2021–now).
Guest-Editor (together with H.A. Le Thi, T.P. Dinh) of the special issue of the international journal Optimization and Engineering, 2023, Volume 24, Issue 1.
Guest-Editor (together with H.A. Le Thi, T.P. Dinh) of the special issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8–10, 2019” Journal of Global Optimization, 82(4), 2022.
Managing Guest-Editor (with L. Brugnano and D.E. Kvasov Guest-Editors) of the virtual special issue of the journal Applied Mathematics and Computation, 40, no. 126023, 2021.
Managing Guest-Editor (with H.A. Le Thi, T.P. Dinh Guest-Editors) of the special issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8–10, 2019”, Optimization Letters, 15:7
2021.
Managing Guest-Editor (with A. Deutz, M. Emmerich, I. Yevseyeva Guest-Editors) of the special issue of Journal of Global Optimization, 79(2), 2021 dedicated to the 14th international workshop on global optimization held in Leiden, The Netherlands, September 18–21, 2018.
Managing Guest-Editor (with L. Brugnano and A. Zhigljavsky Guest-Editors) of the virtual special issue of the journal Journal of Computational and Applied Mathematics, Elsevier dedicated to the 3rd International Conference “Numerical Computations: Theory and Algorithms—NUMTA 2019” June 15–21, 2019, Isola Capo Rizzuto, Italy.
Managing Guest-Editor (with R. De Leone and G. Toraldo Guest-Editors) of the special issue of the journal Soft Computing, 24(23), 2020, dedicated to the 3rd International Conference “Numerical Computations: Theory and Algorithms—NUMTA 2019” June 15–21, 2019, Isola Capo Rizzuto, Italy.
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.
Guest-Editor, together with R. De Leone and A.A. Zhigliavsky of the special issue of the international journal Applied Mathematics and Computation, 2012, 218 (17). Guest-Editor, together with P.M. Pardalos of the special issue of the international Journal of Global Optimization, 2010, 48(1).
Guest-Editor, together with R. Fletcher, V. Ruggiero, and R. G. Strongin, of the special issue of the international journal Optimization Methods and Software, Volume 20, Numbers 4-5, 2004.
Reviewer for books of Springer, Oxford University Press, and CRC Press and for the following 71 international journals: Ad Hoc Networks, Algorithms, Annals of Mathematics and Artificial Intelligence, Applied Mathematics and Computation, Applied Mathematics & Information Sciences, Applied Numerical Mathematics, Applied Mechanics, Applied Sciences, Automation and Remote Control, Automation in Construction, Applied Soft Computing, Artificial Intelligence Review, Automatica, Biomimetics, Central European Journal of Operations Research, Chemical Engineering Science, Communications in Combinatorics and Optimization, Communications in Nonlinear Science and Numerical Simulation, Computational Intelligence and Neuroscience, Computational Mathematics and Mathematical Physics, Computational Optimization and Applications, Computer Physics Communications, Computers & Operations Research, Data Technologies and Applications, Discrete Dynamics in Nature and Society, Ecological Modelling, Education Sciences, Energy Reports, Entropy, EURO Journal on Computational Optimization, European Journal of Operational Research, European Physical Journal Plus, Expert Systems with Applications, Heliyon, IEEE Access, Information and Software Technology, Information Sciences, INFORMS Journal on Computing, International Journal of Mathematical Education in Science and Technology, 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, Knowledge-Based Systems, Machine Learning and Knowledge Extraction, Mathematical Biosciences, Mathematical Problems in Engineering, Mathematical Programming, Mathematical Reviews, 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, Smart Science, Soft Computing, Statistics, Optimization & Information Computing, Sustainability, Swarm and Evolutionary Computation, Technological and Economic Development of Economy, The European Physical Journal Plus, Vietnam Journal of Mathematics
AWARDS and DISTINCTIONS
International Constantin Carathéodory Prize for achievements in the field of global optimization, 2023.
International Gioachino da Fiore Award, 2023.
The ICNAAM Research Excellence Award for outstanding contributions in the field of Numerical Analysis and Applied Mathematics,, 2023.
The 21st International Conference of Numerical Analysis and Applied Mathematics, Crete (Greece) has been dedicated to achievements and the 60th birthday of Prof. Sergeyev, 2023.
Included in the list of Scopus highly cited authors, since 2020.
Elected Corresponding Member of the Italian Accademia Peloritana dei Pericolanti, 2020.
President of the International Society for Global Optimization, 2017-2021.
Honored Worker of the Educational Sphere of the Russian Federation, the Ministry of Education and Science of the Russian Federation, 2017.
Khwarismi International Award, 2017.
Elected EUROPT Fellow, 2016.
Elected Vice-President of the International Society for Global Optimization, 2016.
Honorary Fellowship, the highest distinction of the European Society of Computational Methods in Sciences, Engineering and Technology, 2015.
In the annual national competition “University Book” in Russia in the nomination “The best translation” the winner is the book G. Lolli, “Filosofia della matematica: L’eredità del Novecento” translated in Russian from Italian by A.L. Sochkov and S.M. Antakov under the scientific supervision of Ya.D. Sergeyev, 2015.
The 2014 Journal of Global Optimization Best Paper Award for the article 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.
Achievement Award from the World Congress in Computer Science, Computer Engineering, and Applied Computing, USA, 2015.
Degree of Honorary Doctor, V.M. Glushkov Institute of Cybernetics of The National Academy of Sciences of Ukraine, Kiev, 2013.
International Pythagoras Prize, Italy (Premio Internazionale Pitagora per la matematica, Crotone, Italy), 2010.
Outstanding Achievement Award from the 2010 World Congress in Computer Science, Computer Engineering, and Applied Computing, USA, 2010.
Lagrange Lecture, awarded by Turin university and Turin polytechnic university, 2010.
Honorary plate from the Engineering Faculty of the Dokuz Eylul University, Izmir, Turkey, 2009.
MAIK Prize for the monograph: Sergeyev Ya.D., Kvasov D.E. Diagonal global optimization methods, Fizmatlit, Moscow, 2008, 352 pp. (in Russian).
Award of the Russian Foundation of Basic Research for the popular scientific article "Global optimization and the Lipschitz condition" co-authored with D.E. Kvasov, 2008.
Keynote address and honorary plaque at the general plenary session of the world multi-conference WMSCI 2008 (Orlando, USA).
Distinguished Full Professorship awarded by the Italian Government, 2002.
Medal of the National Russian Exhibition awarded for the best didactic software, 1993.
Second Prize at the USSR annual competition in didactic software, 1990.
Third Prize at the USSR annual competition in didactic software, 1989.
MEDIA CITATIONS
Article in "New Scientist" (Russian Edition) magazine, #3, 2011.
Numerous articles have been dedicated to the Pythagoras International Prize for Mathematics, Crotone (see 1st Russian TV Channel, The Voice of Russia, Il Sole 24 Ore, Gazzetta del Sud, Il Quotidiano, Il Crotonese, ITAR-TASS, RIA Novosti, Rossiyskaya gazeta, Haberhurriyeti, etc.), November, 2010.
Article in Russian National newspaper "Âåäîìîñòè" and e-newspaper ria.ru, 19.08.2010.
Article in Italian e-newspaper "Gazzettino Europeo", 26.06.2010.
Article in Turkish newspaper "Haberhurriyeti", 28.05.2010.
Article in Italian newspaper "Calabria Ora", 22.05.2010.
Article in Italian newspaper "Il Quotidiano", 18.05.2010.
Article in Italian newspaper "Calabria Ora", 18.05.2010.
Article in Italian newspaper "Gazzetta del Sud", 18.05.2010.
Article in Italian monthly magazine "Newton", March, 2010.
Article in Russian monthly magazine "Science and Life", #8, 2009.
Article in Turkish newspaper "Haberhurriyeti", 2009.
Article in Italian quarterly magazine "Tutto Misure", #2, 2008.
Article in Italian monthly magazine "Quale Computer", #12, 2007.
Interview to Russian monthly magazine "Îòêðûòûå ñèñòåìû", #7, 2007.
Two articles in Russian weekly magazine "Computerra", #33, 2007.
Article in the weekly magazine "Computerworld" (Russian Edition), #31, 2007.
Article in Russian National e-newspaper "Íàóêà.Èçâåñòèÿ", 28.05.2007.
Cover story in Italian National e-newspaper Key4biz: Knowledge for Business, 11.05.2007.
Article in the leading Italian weekly magazine "Panorama", 07.12.2006.
Cover story in Russian National newspaper "Âåäîìîñòè" published together with The Wall Street Journal è Financial Times (in Russian), 30.11.2006.
Book "Italian applications", edited by F. Pedrocchi, 240 pages, Hublab Eds., 2006 and the corresponding site, describing the most promising Italian innovations.
Interview to Italian radio station RadioCittaFujiko, 22.04.2006.
Interview to the largest Italian National business newspaper "Il Sole 24 Ore", 27.08.2005.
Interview to Italian National newspaper "Italia Oggi" reprinted also by Italian National newspaper "MF" (Milan Finance), 12.07.2005.
Interview to Italian National radio station Radio24, 23.06.2005.
Cover story, department "Technology", "Notable New Patents" of the U.S.A. magazine of intellectual property and technology, 15.06.2005.
The Optimization Research Bridge Newsletter, Issue 9, March 2003.
Main publications:
Sergeyev Ya. D., De Leone R. (Eds.), Numerical Infinities and Infinitesimals in Optimization, Springer, Cham, 2022
Sergeyev Ya. D., Kvasov D. E., Deterministic global optimization: An introduction to the diagonal approach, Springer, New York, 2017
Sergeyev Ya. D., Strongin R. G., Lera D., Introduction to Global Optimization Exploiting Space-Filling Curves, Springer, New York, 2013
Strongin R. G., Sergeyev Ya. D., Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 2000
Cococcioni M., Cudazzo A., Fiaschi L., Pappalardo M., Sergeyev Ya.D., “A new cutting plane method for lexicographic multi-objective integer linear programming”, Communications in Nonlinear Science and Numerical Simulation, 129, February (2024), 107674
Lera D., Nasso M.C., Posypkin M.A., Sergeyev Ya.D., “Determining solution set of nonlinear inequalities using space-filling curves for finding working spaces of planar robots”, Journal of Global Optimization, 89:2 (2024), 415–434
3.
Sergeyev Ya.D., Lera D., Nasso M.C., “Numerical methods using two different approximations of space-filling curves for black-box global optimization”, Journal of Global Optimization, 88:3 (2024), 707–722
Y.D. Sergeyev, “Lower and upper estimates of the quantity of algebraic numbers”, Mediterranean Journal of Mathematics, 20:1 (2023)
5.
Falcone A., Garro A., Mukhametzhanov M.S., Sergeyev Ya.D., “Advantages of the usage of the Infinity Computer for reducing the Zeno behavior in hybrid system models”, Soft Computing, 27 (2023), 8189-–8208
Le Thi H.An., Dinh T.P., Sergeev Ya.D., “Preface to the Special Issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8-10, 2019”, Optimization and Engineering, 24:1 (2023), 1–3
7.
Lera D., Nasso M.C., Sergeev Ya.D., “Non-Univalent Approximation of Peano Curve for Global Optimization”, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021, AIP Conference Proceedings, 2849, no. 11, September, 2023 , 4 pp.
2022
8.
A. Falcone, A. Garro, M.S. Mukhametzhanov, Y.D. Sergeyev, “Simulation of hybrid systems under Zeno behavior using numerical infinitesimals”, Communications in Nonlinear Science and Numerical Simulation, 111 (2022)
9.
Y.D. Sergeyev, “Some paradoxes of infinity revisited”, Mediterranean Journal of Mathematics, 19:3 (2022)
10.
Y.D. Sergeyev, D.E. Kvasov, M.S. Mukhametzhanov, “A generator of multiextremal test classes with known solutions for black-box constrained global optimization”, IEEE Transactions on Evolutionary Computation, 26:6 (2022)
11.
Le Thi, Hoai An, Pham Dinh Tao, Sergeyev Y.D., “Preface to the special issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8–10, 2019”, Journal of Global Optimization, 82:4 (2022), 655–657
12.
Sergeyev Ya. D., De Leone R. (Eds.), Numerical Infinities and Infinitesimals in Optimization, Springer, Cham, 2022
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, 79:2 (2021), 305–327
L. Brugnano, D.E. Kvasov, Y.D. Sergeyev, “Preface to the virtual special issue recent developments in applied mathematics and computation”, Applied Mathematics and Computation, 409 (2021), 126023
15.
A. Falcone, A. Garro, M.S. Mukhametzhanov, Y.D. Sergeyev, “A Simulink-based software solution using the Infinity Computer methodology for higher order differentiation”, Applied Mathematics and Computation, 409 (2021), 125606
H.A. Le Thi, T.P. Dinh, Y.D. Sergeyev, “Preface to the special issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8–10, 2019”, Optimization Letters, 15:7 (2021), 2347–2349
17.
L. Brugnano, Y.D. Sergeyev, A. Zhigljavsky, “Foreword to the Virtual Special Issue Dedicated to the 3Rd International Conference Numta 2019 “Numerical Computations: Theory and Algorithms””, Journal of Computational and Applied Mathematics, 393 (2021), 113545
18.
A. Deutz, M. Emmerich, Y.D. Sergeyev, I. Yevseyeva, “Preface to the special issue dedicated to the 14th international workshop on global optimization held in Leiden, The Netherlands, September 18–21, 2018”, Journal of Global Optimization, 79:2 (2021), 279–280
19.
D. Lera, M. Posypkin, Y.D. Sergeyev, “Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics”, Applied Mathematics and Computation, 390 (2021), 125660
Y.D. Sergeyev, M.C. Nasso, M.S. Mukhametzhanov, D.E. Kvasov, “Novel local tuning techniques for speeding up one-dimensional algorithms in expensive global optimization using Lipschitz derivatives”, Journal of Computational and Applied Mathematics, 383 (2021), 113134
F. Iavernaro, F. Mazzia, M.S. Mukhametzhanov, Y.D. Sergeyev, “Computation of higher order Lie derivatives on the Infinity Computer”, Journal of Computational and Applied Mathematics, 383 (2021), 113135
V.K. Singh, Y.D. Sergeyev, A. Fischer, “Preface”, Trends in Mathematics, 2021, v–vi
23.
Sergeev Ya. D., “Novyi vzglyad na beskonechno bolshie i beskonechno malye velichiny: metodologicheskie osnovy i prakticheskoe ispolzovanie etikh chisel v vychisleniyakh na kompyutere”, Informatika i obrazovanie, 36:8 (2021), 5–22
2020
24.
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
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
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, 155 (2020), 58–72
R. De Leone, Y.D. Sergeyev, G. Toraldo, “to the Special Issue Dedicated to the 3Rd International Conference “Numerical Computations: Theory and Algorithms—Numta 2019” June 15–21, 2019, Isola Capo Rizzuto, Italy”, Soft Computing, 24:23 (2020), 17495–17496
A. Falcone, A. Garro, M.S. Mukhametzhanov, Y.D. Sergeyev, “Representation of grossone-based arithmetic in simulink for scientific computing”, Soft Computing, 24:23 (2020), 17525–17539
Y.D. Sergeyev, A. Candelieri, D.E. Kvasov, R. Perego, “Safe global optimization of expensive noisy black-box functions in the $\delta$-Lipschitz framework”, Soft Computing, 24:23 (2020), 17715–17735
R. De Leone, G. Fasano, M. Roma, Y.D. Sergeyev, “Iterative Grossone-Based Computation of Negative Curvature Directions in Large-Scale Optimization”, Journal of Optimization Theory and Applications, 186:2 (2020), 554–589
M. Cococcioni, A. Cudazzo, M. Pappalardo, Y.D. Sergeyev, “Grossone Methodology for Lexicographic Mixed-Integer Linear Programming Problems”, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11974 (2020), 337–345
Y.D. Sergeyev, D.E. Kvasov, “Preface”, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11974 (2020), v–vii
34.
Y.D. Sergeyev, D.E. Kvasov, “Preface”, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11973 (2020), v–viii
35.
A. Falcone, A. Garro, M.S. Mukhametzhanov, Y.D. Sergeyev, “A Simulink-Based Infinity Computer Simulator and Some Applications”, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11974 (2020), 362–369
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
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
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
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
41.
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
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
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
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
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
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
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
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
52.
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
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
54.
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
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
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
Sergeyev Ya.D., “Un semplice modo per trattare le grandezze infinite ed infinitesime”, La Matematica nella Societa e nella Cultura: Rivista dell'Unione Matematica Italiana, Serie I, 8 (2015), 111–147http://wwwinfo.deis.unical.it/~yaro/UMI_Sergeyev.pdf
64.
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
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
D. E. Kvasov, Ya. D. Sergeyev, “Lipschitz global optimization methods in control problems”, Autom. Remote Control, 74:9 (2013), 1435–1448
69.
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
90.
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
91.
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)
92
92.
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
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
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
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
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
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
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
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
Sergeyev, Ya.D., “Mathematical foundations of the infinity computer”, Annales UMCS Informatica AI, 4 (2006), 20–33
102.
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
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
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
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
111.
Casado L.G., Garcna I., Martnnez 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
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
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
Casado L.G., Garcna 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
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
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
120.
Molinaro A., Pizzuti C., Sergeyev Ya.D., “Acceleration tools for diagonal information global optimization algorithms”, , Computational Optimization and Applications, 18:1 (2001), 5–26
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
Molinaro A., Sergeyev Ya.D., “An efficient algorithm for the zero-crossing detection in digitized measurement signal”, Measurement, 30:3 (2001), 187–196
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
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
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
465
127.
Casado L.G., Garcna 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
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
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
Gergel V.P., Sergeyev Ya.D., “Sequential and parallel global optimization algorithms using derivatives”, Computers & Mathematics with Applications, 37:4/5 (1999), 163–180
Sergeyev Ya.D., “Parallel information algorithm with local tuning for solving multidimensional GO problems”, Journal of Global Optimization, 15:2 (1999), 157–167
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
135.
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)
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
141.
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
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
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
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
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
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
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
1988
153.
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
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