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Sergeyev, Yaroslav Dmitrievich

Total publications: 120 (120)
in MathSciNet: 90 (90)
in zbMATH: 81 (81)
in Web of Science: 80 (80)
in Scopus: 79 (79)
Cited articles: 88
Citations in Math-Net.Ru: 70
Citations in Web of Science: 2458
Citations in Scopus: 2536
Presentations: 1

Number of views:
This page:11987
Abstract pages:2142
Full texts:858
References:200
Sergeyev, Yaroslav Dmitrievich
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date: 28.08.1963
E-mail:
Website: http://www.itmm.unn.ru/persons/sergeev
Keywords: global optimization, infinity computing and calculus, Infinity Computer, parallel computing, set theory, number theory, fractals and their applications, philosophy of mathematics, interval analysis.
UDC: 519.658
MSC: 90C26

Subject:

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–now), 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).

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 AlgorithmsNUMTA 2019 June 1521, 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, 215218, (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 the following 50 international journals: 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 Mathematics and Mathematical Physics, 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

AWARDS and DISTINCTIONS

Included in the list of Scopus highly cited authors, 2020.
Elected Corresponding Member of the Italian Accademia Peloritana dei Pericolanti, 2020.
Elected President of the International Society for Global Optimization, 2017.
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: Leredità 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 "" 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 " ", #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 ".", 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 "" published together with The Wall Street Journal 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:
  1. Sergeyev Ya. D., Kvasov D. E., Deterministic global optimization: An introduction to the diagonal approach, Springer, New York, 2017, x+136 pp.
  2. Sergeyev Ya. D., Strongin R. G., Lera D., Introduction to Global Optimization Exploiting Space-Filling Curves, Springer, New York, 2013, 135 pp.
  3. Sergeyev Ya. D., Kvasov D. E., Diagonal global optimization methods, Fizmatlit, Moscow, 2008, 352 pp. (in Russian)
  4. Strongin R. G., Sergeyev Ya. D., Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 2000, 728 pp.  mathscinet  zmath
  5. Sergeyev Ya. D., “A new applied approach for executing computations with infinite and infinitesimal quantities”, Informatica, 19:4 (2008), 567–596

http://www.mathnet.ru/eng/person37544
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:sergeyev.yaroslav-d
https://mathscinet.ams.org/mathscinet/MRAuthorID/298002
https://elibrary.ru/author_items.asp?spin=5438-0320
http://orcid.org/0000-0002-1429-069X
http://www.researcherid.com/rid/Q-8187-2016
https://www.scopus.com/authid/detail.url?authorId=35561094000

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2020
1. 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  crossref  mathscinet  isi (cited: 17)  scopus (cited: 23)
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  crossref  isi (cited: 16)  scopus (cited: 19)
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, 155 (2020), 58–72  crossref  isi (cited: 15)  scopus (cited: 23)

   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), 153–170 http://wwwinfo.deis.unical.it/~yaro/Fallacies final.pdf  crossref  zmath  isi (cited: 18)  scopus (cited: 19)
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.  crossref  isi (cited: 18)  scopus (cited: 21)

   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), 298–311 http://wwwinfo.deis.unical.it/~yaro/Lexico.pdf  crossref  zmath  isi (cited: 38)  scopus (cited: 45)
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), 270–280 http://wwwinfo.deis.unical.it/~yaro/Grishagin Israfilov Sergeyev.pdf  crossref  mathscinet  zmath  isi (cited: 17)  scopus (cited: 24)
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  crossref  mathscinet  zmath
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  crossref  isi (cited: 72)  scopus (cited: 76)
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), 319–330 http://wwwinfo.deis.unical.it/~yaro/SKM_homogeneity.pdf  crossref  mathscinet  isi (cited: 29)  scopus (cited: 30)
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), 73–93 http://wwwinfo.deis.unical.it/~yaro/Planar.pdf  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 19)
12. Lera D., Sergeyev Ya.D., “GOSH: derivative-free global optimization using multi-dimensional space-filling curves”, Journal of Global Optimization, 71:1 (2018), 193–211 http://wwwinfo.deis.unical.it/~yaro/SetLipimprove.pdf  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 20)

   2017
13. Sergeyev Ya.D., Kvasov D.E., Deterministic global optimization: An introduction to the diagonal approach, Springer, NY, 2017 , x+136 pp. https://www.amazon.co.uk/Deterministic-Global-Optimization-Introduction-SpringerBriefs/dp/1493971972  mathscinet  zmath
14. 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  crossref  mathscinet  isi (cited: 28)  scopus (cited: 27)
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), 24–39 http://wwwinfo.deis.unical.it/~yaro/gross_taylor.pdf  crossref  mathscinet  isi (cited: 33)  scopus (cited: 40)
16. Sergeyev Ya.D., “Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems”, EMS Surveys in Mathematical Sciences, 4:2 (2017), 219–320 http://wwwinfo.deis.unical.it/~yaro/EMSS_Sergeyev.pdf  crossref  mathscinet  zmath  isi (cited: 41)
17. Adamatzky, A., Akl, S., Burgin, M., Calude, C.S., Costa, Josi.Fi., Dehshibi, M.M., Gunji, Y.-P., Konkoli, Z., MacLennan, B., Marchal, B., Margenstern, M., Martnnez, 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), 469–493 https://www.researchgate.net/publication/319123019_East-West_Paths_to_Unconventional_Computing  crossref  isi (cited: 6)  scopus (cited: 6)
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  crossref  mathscinet  isi

   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), 21–29 http://wwwinfo.deis.unical.it/~yaro/Koch.pdf  crossref  mathscinet  isi (cited: 27)  scopus (cited: 28)
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), 3–23 http://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), 186–208 http://wwwinfo.deis.unical.it/~yaro/JOTA 2016.pdf  crossref  mathscinet  zmath  isi (cited: 25)  scopus (cited: 32)
22. Sergeyev Ya.D., “The difficulty of prime factorization is a consequence of the positional numeral system”, International Journal of Unconventional Computing, 12:5-6 (2016), 453–463 http://wwwinfo.deis.unical.it/~yaro/Numerals and Factorization.pdf
23. 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  crossref  mathscinet  zmath  isi (cited: 6)  scopus (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), 861–870 http://wwwinfo.deis.unical.it/~yaro/Forest Paper.PDF  crossref  isi (cited: 38)  scopus (cited: 40)
25. Sergeyev Ya.D., “The Olympic medals ranks, lexicographic ordering and numerical infinities”, The Mathematical Intelligencer, 37:2 (2015), 4–8 http://wwwinfo.deis.unical.it/~yaro/Medals.pdf  crossref  mathscinet  zmath  isi (cited: 19)  elib  scopus (cited: 18)
26. Sergeyev Ya.D., “Letter to the Editor”, The Mathematical Intelligencer, 37:4 (2015), 2–3 http://wwwinfo.deis.unical.it/~yaro/Letter to the Editor of MI.pdf  crossref  isi (cited: 2)  elib  scopus (cited: 1)
27. Lera D., Sergeyev Ya.D., “Deterministic global optimization using space-filling curves andmultiple estimates of Lipschitz and Holder constants”, Communications in Nonlinear Science and Numerical Simulation, 23 (2015), 328–342 http://wwwinfo.deis.unical.it/~yaro/SetLipschitz.pdf  crossref  mathscinet  zmath  isi (cited: 26)  scopus (cited: 32)
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  crossref  isi (cited: 45)  scopus (cited: 47)
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), 99–111 http://wwwinfo.deis.unical.it/~yaro/Smooth_N.pdf  crossref  mathscinet  zmath  isi (cited: 48)  scopus (cited: 57)
30. 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), 111–147 http://wwwinfo.deis.unical.it/~yaro/UMI_Sergeyev.pdf  mathscinet  zmath
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  crossref  mathscinet  zmath  isi (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  crossref  mathscinet  zmath  isi (cited: 81)  scopus (cited: 90)
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  crossref  mathscinet  zmath  isi  scopus

   2013
34. Sergeyev Ya.D., Strongin R.G., Lera D., Introduction to global optimization exploiting space-filling curves, Springer, NY, 2013 , 135 pp. http://www.amazon.com/Introduction-Optimization-Exploiting-Space-Filling-SpringerBriefs/dp/1461480418  crossref  mathscinet  zmath  isi (cited: 60)
35. D. E. Kvasov, Ya. D. Sergeyev, “Lipschitz global optimization methods in control problems”, Autom. Remote Control, 74:9 (2013), 1435–1448  mathnet  crossref  mathscinet  zmath  isi (cited: 36)  elib  elib  scopus (cited: 39)
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), 508–529 http://wwwinfo.deis.unical.it/~yaro/smooth.pdf  crossref  mathscinet  zmath  isi (cited: 51)  scopus (cited: 54)
37. Sergeyev Ya.D., “Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer”, Applied Mathematics and Computation, 219:22 (2013), 10668–10681 http://wwwinfo.deis.unical.it/~yaro/ODE.pdf  crossref  mathscinet  zmath  isi (cited: 49)  scopus (cited: 50)
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), 645–663 http://wwwinfo.deis.unical.it/~yaro/Turing_2.pdf  crossref  isi (cited: 37)  scopus (cited: 39)
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  crossref  mathscinet  scopus (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  crossref  mathscinet  zmath  scopus (cited: 31)
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), 4042–4054 http://wwwinfo.deis.unical.it/~yaro/Global_derivativesN.pdf  crossref  mathscinet  zmath  isi (cited: 45)  scopus (cited: 45)
42. Iudin D.I., Sergeyev Ya.D., Hayakawa M., “Interpretation of percolation in terms of infinity computations”, Applied Mathematics and Computation, 218:16 (2012), 8099–8111 http://wwwinfo.deis.unical.it/~yaro/Infinity_percolation.pdf  crossref  mathscinet  zmath  isi (cited: 36)  scopus (cited: 39)

   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), 129–148 http://wwwinfo.deis.unical.it/~yaro/accuracy.pdf  crossref  mathscinet  zmath
44. Sergeyev Ya.D., “Higher order numerical differentiation on the Infinity Computer”, Optimization Letters, 5:4 (2011), 575–585 http://wwwinfo.deis.unical.it/~yaro/Num_dif.pdf  crossref  mathscinet  zmath  isi (cited: 51)  elib  scopus (cited: 56)
45. Sergeyev Ya.D., “Using blinking fractals for mathematical modelling of processes of growth in biological systems”, Informatica, 22:4 (2011), 559–576 http://si.deis.unical.it/~yaro/Biology.pdf  mathscinet  zmath  isi (cited: 36)
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  crossref

   2010
47. Sergeyev Ya.D., “Counting systems and the First Hilbert problem”, Nonlinear Analysis Series A: Theory, Methods & Applications, 72:3-4 (2010), 1701–1708 http://wwwinfo.deis.unical.it/~yaro/First.pdf  crossref  mathscinet  zmath  isi (cited: 31)  scopus (cited: 35)
48. Lera D., Sergeyev Ya.D., “Lipschitz and Holder global optimization using space-filling curves”, Applied Numerical Mathematics, 60:1-2 (2010), 115–129 http://wwwinfo.deis.unical.it/~yaro/holdN.pdf  crossref  mathscinet  zmath  isi (cited: 47)  elib  scopus (cited: 52)
49. Sergeyev Ya.D., Garro A., “Observability of Turing Machines: a refinement of the theory of computation”, Informatica, 21:3 (2010), 425–454 http://wwwinfo.deis.unical.it/~yaro/PaperYSAG.pdf  mathscinet  zmath  isi (cited: 42)
50. Sergeyev Ya.D., “Lagrange Lecture: Methodology of numerical computations with infinities and infinitesimals”, Rendiconti del Seminario Matematico dell'Universita e del Politecnico di Torino, 68:2 (2010), 95–113 http://wwwinfo.deis.unical.it/~yaro/The_second_paper_to_read_(Lagrange_Lecture).pdf  mathscinet  zmath
51. Lera D., Sergeyev Ya.D., “An information global minimization algorithm using the local improvement technique”, Journal of Global Optimization, 48:1 (2010), 99–112 http://wwwinfo.deis.unical.it/~yaro/Sergeyev_Lera.pdf  crossref  mathscinet  zmath  isi (cited: 23)  scopus (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), 177–195 http://wwwinfo.deis.unical.it/~yaro/Calcolo.pdf  crossref  mathscinet  zmath  scopus (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), 303–318 http://wwwinfo.deis.unical.it/~yaro/Global_derivatives.pdf  crossref  mathscinet  zmath  isi (cited: 40)  elib  scopus (cited: 43)
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–e1707 http://wwwinfo.deis.unical.it/~yaro/Derivatives.pdf  crossref  mathscinet  zmath  isi (cited: 55)  scopus (cited: 62)
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), 3042–3046 http://wwwinfo.deis.unical.it/~yaro/Extensions.pdf  crossref  isi (cited: 43)  scopus (cited: 45)
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), 217–237 http://wwwinfo.deis.unical.it/~yaro/Spirals.pdf  mathscinet  zmath
60. Sergeyev Ya.D., “A new applied approach for executing computations with infinite and infinitesimal quantities”, Informatica, 19:4 (2008), 567–596 http://wwwinfo.deis.unical.it/~yaro/Numerical.pdf  mathscinet  zmath  isi (cited: 72)
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  crossref  isi (cited: 43)  elib  scopus (cited: 46)

   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  crossref  mathscinet  zmath  isi (cited: 15)  elib  scopus (cited: 16)
63. Sergeyev Ya.D., “Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers”, Chaos, Solitons & Fractals, 33:1 (2007), 50–75 http://wwwinfo.deis.unical.it/~yaro/Fractals.pdf  crossref  mathscinet  isi (cited: 43)  scopus (cited: 45)
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  crossref  mathscinet  zmath

   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  crossref  zmath
66. Sergeyev Ya.D., “Univariate global optimization with multiextremal non-differentiable constraints without penalty functions”, Computational Optimization and Applications, 34:2 (2006), 229–248 http://wwwinfo.deis.unical.it/~yaro/N_vincoli.zip  crossref  mathscinet  zmath  isi  scopus (cited: 9)
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), 910–937 http://wwwinfo.deis.unical.it/~yaro/SIAM_2006.pdf  crossref  mathscinet  zmath  isi (cited: 115)  scopus (cited: 122)
68. Sergeyev, Ya.D., “Mathematical foundations of the infinity computer”, Annales UMCS Informatica AI, 4 (2006), 20–33  mathscinet
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  crossref  zmath
70. Sergeyev Ya.D., “Misuriamo l'infinito: Un semplice modo per insegnare i concetti delle grandezze infinite”, Periodico di Matematiche, 6:2 (2006), 11–26 http://wwwinfo.deis.unical.it/~yaro/Mathesis_Sergeyev

   2005
71. 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), 503–510 http://wwwinfo.deis.unical.it/~yaro/RemarksPart.ps  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 9)
72. Sergeyev Ya.D., “A few remarks on philosophical foundations of a new applied approach to Infinity”, Scheria, 26-27 (2005), 63–72 http://wwwinfo.deis.unical.it/~yaro/Philosophy.doc  mathscinet

   2004
73. 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  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 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  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)
75. Sergeyev Ya.D., “Generation of symmetric exponential sums”, Journal of Number Theory, 108:1 (2004), 60–75 http://wwwinfo.deis.unical.it/~yaro/NEWNUM.ps  crossref  mathscinet  zmath  isi  scopus

   2003
76. Sergeyev Ya.D., Arithmetic of infinity, Edizioni Orizzonti Meridionali, CS, 2003 http://wwwinfo.deis.unical.it/~yaro/arithmetic.html  mathscinet  zmath
77. 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  mathnet  mathscinet  zmath
78. 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), 345–362 http://wwwinfo.deis.unical.it/~yaro/jily6.ps.gz  crossref  mathscinet  zmath  isi (cited: 28)  scopus (cited: 29)
79. Kvasov D.E., Pizzuti C., Sergeyev Ya.D., “Local tuning and partition strategies for diagonal GO methods”, Numerische Mathematik, 94:1 (2003), 93–106 http://wwwinfo.deis.unical.it/~yaro/division.ps  crossref  mathscinet  zmath  isi (cited: 40)  scopus (cited: 43)
80. Strongin R.G., Sergeyev Ya.D., “Global optimization: fractal approach and non-redundant parallelism”, Journal of Global Optimization, 27:1 (2003), 25–50 http://wwwinfo.deis.unical.it/~yaro/GlobOptFractal.zip  crossref  mathscinet  zmath  isi (cited: 22)  scopus (cited: 22)
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), 489–512 http://wwwinfo.deis.unical.it/~yaro/vincoli_Peano.zip  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 16)
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), 469–480 http://wwwinfo.deis.unical.it/~yaro/GKLS.html  crossref  mathscinet  zmath  isi (cited: 139)  scopus (cited: 159)

   2002
83. Lera D., Sergeyev Ya.D., “Global minimization algorithms for Holder functions”, BIT Numerical Mathematics, 42:1 (2002), 119–133 http://wwwinfo.deis.unical.it/~yaro/hold.ps  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 12)
84. 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), 359–376 http://wwwinfo.deis.unical.it/~yaro/siam_sc.pdf  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 13)
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, 93–110 http://wwwinfo.deis.unical.it/~yaro/tests.pdf  crossref  mathscinet
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  crossref  mathscinet  zmath

   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  crossref  mathscinet  zmath  isi (cited: 11)  scopus (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  crossref  mathscinet  zmath  scopus (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  crossref  isi (cited: 15)  scopus (cited: 17)
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  crossref  mathscinet  zmath  isi (cited: 36)  scopus (cited: 44)
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  crossref  mathscinet  zmath  isi (cited: 35)  scopus (cited: 38)
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  crossref  mathscinet  zmath  isi (cited: 10)  scopus (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.  zmath; 2nd ed., 2013; 3rd ed., 2014 http://wwwinfo.deis.unical.it/~yaro/book_2000.htm  mathscinet  zmath
94. 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  crossref  mathscinet  zmath  scopus (cited: 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  crossref  mathscinet  zmath  isi (cited: 32)  scopus (cited: 34)

   1999
96. Comput. Math. Math. Phys., 39:5 (1999), 711–720  mathnet  mathscinet  zmath
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  crossref  mathscinet  zmath  isi (cited: 34)  scopus (cited: 34)
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  crossref  mathscinet
99. Famularo D., Pugliese P., Sergeyev Ya.D., “A global optimization technique for checking parametric robustness”, Automatica, 35 (1999), 1605–1611  crossref  mathscinet  zmath  isi (cited: 27)  scopus (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  crossref  mathscinet  zmath  isi (cited: 7)  scopus (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  crossref

   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)
103. Sergeyev Ya.D., “Global one-dimensional optimization using smooth auxiliary functions”, Mathematical Programming, 81:1 (1998), 127–146  crossref  mathscinet  zmath  isi (cited: 52)  scopus (cited: 59)
104. 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  crossref  mathscinet  zmath  isi (cited: 2)
105. Sergeyev Ya.D., “On convergence of “Divide the Best” global optimization algorithms”, Optimization, 44:3 (1998), 303–325  crossref  mathscinet  zmath  scopus (cited: 37)

   1997
106. Grishagin V.A., Sergeyev Ya.D., Strongin R.G., “Parallel characteristical global optimization algorithms”, Journal of Global Optimization, 10 (1997), 185–206  crossref  mathscinet  zmath  isi (cited: 41)  scopus (cited: 54)
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  crossref  mathscinet

   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  crossref  scopus (cited: 23)

   1995
110. Comput. Math. Math. Phys., 35:5 (1995), 553–562  mathnet  mathscinet  zmath  isi (cited: 28)
111. Sergeyev Ya.D., “An information global optimization algorithm with local tuning”, SIAM Journal on Optimization, 5:4 (1995), 858–870  crossref  mathscinet  zmath  isi (cited: 64)
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  crossref  scopus (cited: 24)
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  crossref  mathscinet  zmath  isi (cited: 13)  scopus (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  crossref  mathscinet  zmath  isi (cited: 33)  scopus (cited: 36)
115. Sergeyev Ya.D., Grishagin V.A., “Sequential and parallel global optimization algorithms”, Optimization Methods and Software, 3 (1994), 111–124  crossref  scopus (cited: 23)
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  isi

   1992
117. Strongin R.G., Sergeyev Ya.D., “Global multidimensional optimization on parallel computer”, Parallel Computing, 18 (1992), 1259–1273  crossref  mathscinet  zmath  isi (cited: 33)  scopus (cited: 37)
118. 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  crossref  mathscinet  zmath  scopus (cited: 4)

   1989
119. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 17)

   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  crossref  mathscinet

Presentations in Math-Net.Ru
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Ya. D. Sergeyev
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 17, 2009 11:00

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