Yaroslav D. Sergeyev

LIST OF PAPERS

1. Books    

 

  1. Sergeyev Ya.D., Kvasov D.E. (2008) Diagonal global optimization methods, Fizmatlit, Moscow, 352 pp., (in Russian). MAIK “Nauka/Interperiodica” Prize for the best scientific monograph published in 2008

 

  1. Sergeyev Ya.D. (2003) Arithmetic of infinity, Edizioni Orizzonti Meridionali, 112 pp. 

 

  1. Strongin R.G., Sergeyev Ya.D. (2000) Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 728 pp.

 

  1. Sergeyev Ya.D., Strongin R.G., Grishagin V.A. (1998) Introduction to parallel global optimization, Nizhni Novgorod University Press, Nizhni Novgorod, 87 pp., (in Russian).

 

2. Edited special issues of international journals

 

  1. Fletcher R., Ruggiero V., Sergeyev Ya.D., Strongin R.G. (2005) Foreword (special issue dedicated to the INdAM scientific meeting “Numerical Methods for Local and Global Optimization: Sequential and Parallel Algorithms”, Cortona, Italy,  July 14-20, 2003), Optimization Methods and Software, 20(4), 415-416.

 

  1. Pardalos P.M., Sergeyev Ya.D. (2010) Foreword (special issue celebrating the 70th birthday of Roman G. Strongin), Journal of Global Optimization, 48(1), 1-2.

 

  1. De Leone R., Sergeyev Ya.D., Zhigljavsky A.A. (2012) Foreword (special issue dedicated to the international workshop "Infinite and Infinitesimal in Mathematics, Computing and Natural Sciences", Cetraro, Italy, May 17–21, 2010), Applied Mathematics and Computation, 218(16).  

 

3. Papers published in international journals

 

  1. Sergeyev Ya.D., Strongin R.G. (1990) A global minimization algorithm with parallel iterations. Comput. Maths. Math. Phys., 29(2), 7-15.

 

  1. Strongin R.G., Sergeyev Ya.D. (1992) Global multidimensional optimization on parallel computer. Parallel Computing, 18, 1259-1273.

 

  1. Gergel V.P., Sergeyev Ya.D., Strongin R.G. (1992) A parallel global optimization method and its implementation on a transputer system. Optimization, 26, 261-275.

 

  1. Sergeyev Ya.D., Grishagin V.A. (1994) A parallel algorithm for finding the global minimum of univariate functions. Journal of Optimization Theory and Applications, 80(3), 513-536 .

 

  1. Sergeyev Ya.D., Grishagin V.A., (1994) Sequential and parallel global optimization algorithms, Optimization Methods and Software, 3, 111-124.

 

  1. Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1994) PNS: A dynamic mapping strategy for massively parallel computers, Computers & Artificial Intelligence, 13(5), 477-494.

 

  1. Sergeyev Ya.D. (1995) An information global optimization algorithm with local tuning, SIAM Journal on Optimization, 5(4), 858-870.

 

  1. Sergeyev Ya.D. (1995) A one-dimensional deterministic global minimization algorithm, Comput. Maths. Math. Phys., 35(5), 705-717.

 

  1. Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1995) An algorithm for finding the zero crossing of time signals with Lipschitzean derivatives, Measurement, 16(1), 37-49.

 

  1. Sergeyev Ya.D., Markin D.L. (1995) An algorithm for solving global optimization problems with nonlinear constraints, Journal of Global Optimization, 4(4), 407-419.

 

  1. Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1996) Fast detection of the first zero-crossing in a measurement signal set, Measurement, 19(1), 29-39.

 

  1. Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1997) Parallel characteristical global optimization algorithms, Journal of Global Optimization, 10, 185-206.

 

  1. Sergeyev Ya.D. (1998) Global one-dimensional optimization using smooth auxiliary functions, Mathematical Programming, 81(1), 127-146.

 

  1. Celani M., Cerulli R., Gaudioso M., Sergeyev Ya.D. (1998) A multiplier adjustment technique for capacitated concentrator location problem, Optimization Methods & Software, 10(1), 87-102.

 

  1. Sergeyev Ya.D. (1998) On convergence of "Divide the Best" global optimization algorithms, Optimization, 44(3), 303-325.

 

  1. Sergeyev Ya.D., Daponte P., Grimaldi D., Molinaro A. (1999) Two methods for solving optimization problems arising in electronic measurements and electrical engineering, SIAM Journal on Optimization, 10(1), 1-21.

 

  1. Gergel V.P., Sergeyev Ya.D. (1999) Sequential and parallel global optimization algorithms using derivatives, Computers & Mathematics with Applications, 37(4/5), 163-180.

 

  1. Famularo D., Pugliese P., Sergeyev Ya.D. (1999) A global optimization technique for checking parametric robustness, Automatica, 35, 1605-1611.

 

  1. Sergeyev Ya.D. (1999) Parallel information algorithm with local tuning for solving multidimensional GO problems, Journal of Global Optimization, 15(2), 157-167. 

 

  1. Sergeyev Ya.D. (1999) Multidimensional global optimization using the first derivatives, Comput. Maths. Math. Phys., 39(5), 743-752.

 

  1. Casado L.G., García I., Sergeyev Ya.D. (2000) Interval Branch and Bound global optimization for finding the first zero-crossing in one-dimensional functions, Reliable Computing, 6(2), 179-191.

 

  1. Sergeyev Ya.D. (2000) An efficient strategy for adaptive partition of N-dimensional intervals in the framework of diagonal algorithms, Journal of Optimization Theory and Applications, 107(1), 145-168.

 

  1. Molinaro A., Pizzuti C., Sergeyev Ya.D. (2001) Acceleration tools for diagonal information global optimization algorithms, Computational Optimization and Applications, 18(1), 5-26. 

 

  1. Grishagin V.A., Sergeyev Ya.D., Silipo D. (2001) Firms' R&D decisions under incomplete information, European Journal of Operational Research, 129(2), 414-433.

 

  1. Molinaro A., Sergeyev Ya.D. (2001) An efficient algorithm for the zero-crossing detection in digitized measurement signal, Measurement, 30(3), 187-196.

 

  1. Sergeyev Ya.D., Grishagin V.A. (2001) Parallel asynchronous global search and the nested optimization scheme, Journal of Computational Analysis & Applications, 3(2), 123-145.

 

  1. Sergeyev Ya.D., Famularo D., Pugliese P. (2001) Index Branch-and-Bound Algorithm for Lipschitz univariate global optimization with multiextremal constraints, Journal of Global Optimization, 21(3), 317-341.

 

  1. Molinaro A., Sergeyev Ya.D. (2001) Finding the minimal root of an equation with the multiextremal and non-differentiable left-hand part, Numerical Algorithms, 28, 255-272.

 

  1. Lera D., Sergeyev Ya.D. (2002) Global minimization algorithms for Holder functions, BIT Numerical Mathematics, 42(1), 119-133. 

 

  1. Casado L.G., García I., Sergeyev Ya.D. (2002) Interval algorithms for finding the minimal root in a set of multiextremal non-differentiable one-dimensional functions, SIAM Journal on Scientific Computing, 24(2), 359-376.

 

  1. Casado L.G., García I., Martínez J.A., Sergeyev Ya.D. (2003) New interval analysis support functions using gradient information in a global minimization algorithm, Journal of Global Optimization, 25(4), 345-362.

 

  1. Kvasov D.E., Pizzuti C., Sergeyev Ya.D. (2003) Local tuning and partition strategies for diagonal GO methods, Numerische Mathematik, 94(1), 93-106.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2003) Multidimensional global optimization algorithm based on adaptive diagonal curves, Comput. Maths. Math. Phys., 43(1), 40-56.

 

  1. Strongin R.G., Sergeyev Ya.D. (2003) Global optimization: fractal approach and non-redundant parallelism, Journal of Global Optimization, 27(1), 25-50.

 

  1. Sergeyev Ya.D., Pugliese P., Famularo D. (2003) Index information algorithm with local tuning for solving multidimensional global optimization problems with multiextremal constraints, Mathematical Programming, 96(3), 489-512.

 

  1. Gaviano M., Kvasov D.E., Lera D., Sergeyev Ya.D. (2003) 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), 469-480.

 

  1. Martínez J.A., Casado L.G., García I., Sergeyev Ya.D., Toth B. (2004) On an efficient use of gradient information for accelerating interval global optimization algorithms, Numerical Algorithms, 37, 61-69.

 

  1. Famularo D., Pugliese P., Sergeyev Ya.D. (2004) A global optimization technique for fixed-order control design, International Journal of Systems Science, 35(7), 425-434.

 

  1. Sergeyev Ya.D. (2004) Generation of symmetric exponential sums, Journal of Number Theory, 108(1), 60-75.

 

  1. Sergeyev Ya.D. (2005) Efficient partition of N-dimensional intervals in the framework of one-point-based algorithms, Journal of Optimization Theory and Applications, 124(2), 503-510.

 

  1. Carotenuto L., Pugliese P., Sergeyev Ya.D. (2006) Maximizing performance and robustness of PI and PID controllers by global optimization, International Journal of Control and Intelligent Systems, 34(3), 225-235.

 

  1. Sergeyev Ya.D. (2006) Univariate global optimization with multiextremal non-differentiable constraints without penalty functions, Computational Optimization and Applications, 34(2), 229-248.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2006) Global search based on efficient diagonal partitions and a set of Lipschitz constants, SIAM Journal on Optimization, 16(3), 910–937.

 

  1. Sergeyev, Ya.D. (2006) Mathematical foundations of the infinity computer, Annales UMCS Informatica AI, 4, 20-33.

 

  1. Sergeyev Ya.D., Kvasov D.E., Khalaf F.M.H. (2007) A one-dimensional local tuning algorithm for solving GO problems with partially defined constraints, Optimization Letters, 1(1), 85-99.

 

  1. Sergeyev Ya.D. (2007) Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers, Chaos, Solitons & Fractals, 33(1), 50-75.

 

  1. Sergeyev Ya.D. (2008) Measuring fractals by infinite and infinitesimal numbers, Mathematical Methods, Physical Methods & Simulation Science and Technology, 1(1), 217-237.

 

  1. Sergeyev Ya.D. (2008) A new applied approach for executing computations with infinite and infinitesimal quantities, Informatica, 19(4), 567-596.

 

  1. Kvasov D.E., Menniti D., Pinnarelli A., Sergeyev Ya.D., Sorrentino N. (2008) Tuning fuzzy power-system stabilizers in multi-machine systems by global optimization algorithms based on efficient domain partitions, Electric Power Systems Research, 78(7), 1217-1229.

 

  1. Sergeyev Ya.D. (2009) Numerical computations and mathematical modelling with infinite and infinitesimal numbers, Journal of Applied Mathematics and Computing, 29, 177-195.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2009) A univariate global search working with a set of Lipschitz constants for the first derivative, Optimization Letters, 3(2), 303-318.

 

  1. Sergeyev Ya.D. (2009)  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), e1688-e1707.

 

  1. Sergeyev Ya.D. (2009) Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge,  Chaos, Solitons & Fractals, 42,  3042–3046.

 

  1. Sergeyev Ya.D. (2010) Counting systems and the First Hilbert problem, Nonlinear Analysis Series A: Theory, Methods & Applications, 72(3-4), 1701-1708.

 

  1. Lera D., Sergeyev Ya.D. (2010) Lipschitz and Holder global optimization using space-filling curves, Applied Numerical Mathematics, 60(1-2), 115–129.

 

  1. Sergeyev Ya.D., Garro A. (2010) Observability of Turing Machines: a refinement of the theory of computation, Informatica, 21(3), 425–454.

 

  1. Sergeyev Ya.D. (2010) Lagrange Lecture: Methodology of numerical computations with infinities and infinitesimals, Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino, 68(2), 95–113.

 

  1. Lera D., Sergeyev Ya.D. (2010) An information global minimization algorithm using the local improvement technique, Journal of Global Optimization, 48(1), 99-112.

 

  1. Sergeyev Ya.D. (2011) 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), 129-148.

 

  1. Sergeyev Ya.D. (2011) Higher order numerical differentiation on the Infinity Computer, Optimization Letters, 5(4), 575-585.

 

  1. Sergeyev Ya.D. (2011) Using blinking fractals for mathematical modelling of processes of growth in biological systems, Informatica, 22(4), 559–576.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2012) Univariate geometric Lipschitz global optimization algorithms, Numerical Algebra, Control and Optimization, 2(1), 69-90.

 

  1. Kvasov D.E., Sergeyev Ya.D. Lipschitz gradients for global optimization in a one-point-based partitioning scheme, Journal of Computational and Applied Mathematics, (to appear).

 

  1. Iudin D.I., Sergeyev Ya.D. Hayakawa M. (2012) Interpretation of percolation in terms of infinity computations, Applied Mathematics and Computation, 218(16), 8099-8111.

 

4. Papers submitted to international journals

 

  1. Lera D., Sergeyev Ya.D. Acceleration of univariate global optimization algorithms working with Lipschitz functions and Lipschitz first derivatives

 

  1. Sergeyev Ya.D. Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer

 

  1. Sergeyev Ya.D. Numerical infinities and infinitesimals for increasing accuracy of mathematical models in Physics

 

5. Patents

 

  1. Chidichimo, G., Tkachenko, Yu., Ovechkin, A., Pasmanik, L., Troitsky, A., Ylianichev, I., Golovanova, M., Sergeyev, Ya.D., Methods and equipment for the measurement of the three-dimensional distribution of the temperatures within dielectric means, United States Patent 6850862, issued 23.10.2000.

 

  1. Sergeyev, Ya.D., Computer system  for storing infinite, infinitesimal, and finite  quantities and executing arithmetical operations with them, EU patent 1728149, issued 03.06.2009.

 

  1. Sergeyev, Ya.D., Computer system  for storing infinite, infinitesimal, and finite  quantities and executing arithmetical operations with them, RF Patent 2395111, issued 20.07.2010.

 

  1. Sergeyev, Ya.D., Computer system  for storing infinite, infinitesimal, and finite  quantities and executing arithmetical operations with them, USA patent 7,860,914, issued 28.12.2010.

 

6. Refereed papers and chapters in books and proceedings of international conferences

 

  1. Strongin R.G., Sergeyev Ya.D. (1988) Effective algorithm for global optimization with parallel computations. Lecture Notes in Economics and Math. Systems. vol.304. Springer-Verlag. Berlin Heidelberg,158-162.

 

  1. Sergeyev Ya.D. (1988) On parallelizing a global optimization algorithm. In Optimization & Modelling, ed. A.V.Sergiyevski, Gorky, Gorky State University, 45-52.

 

  1. Gergel V.P., Sergeyev Ya.D. (1988) The DIALOGUE system. In Control, Optimization & Modelling, ed. A.V.Sergiyevski, Gorky, Gorky State University, 46-61.

 

  1. Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1993) A dynamic load balancing strategy for massively parallel computers. In Proc. of the 5-th PARLE Conference, Springer-Verlag, Berlin Heidelberg, 664-667.

 

  1. Sergeyev Ya.D. (1994) An algorithm for finding the global minimum of multiextremal Lipschitz functions. In Operations Research'93, eds. A. Bachem, U. Derigs, M. Junger, R. Schrader, Physica-Verlag, Heidelberg, 463-465.

 

  1. Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1995) An algorithm for a reliable search of switching times. In Proc. of the International workshop on advnced math. methods in electrical and electronic measurements, Progetto Leonardo, Bologna, 229-240.

 

  1. Eisinberg A., Mainieri R., Sergeyev Ya.D., Pugliese P. (1997) Estimating the parameters of Verhulst equation, in Proc. of the 15-th IMACS Triennal World Congress on Scientific Computation, Modelling & Applied Math., ed. by A. Sydow, Wissenschaft & Technik Verlag, 737-742.

 

  1. Barkalov A.V., Grishagin V.A., Sergeyev Ya.D., Silipo D. (1997) Game simulation in economic processes, Public Economics as a Complex System, Chapter 7, ed. by Yu.V. Trifonov, N. Novgorod, N. Novgorod State University Press, 239-263.

 

  1. Grishagin V.A., Sergeyev Ya.D., Silipo D. (1997) Patent race and Nash equilibrium, in Proc. of the International Conference on Regional Aspects of Public Economics, N. Novgorod, NIER Press, 159-161.

 

  1. Sergeyev Ya.D. (1997) 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, 199-215.

 

  1. Eisinberg A., Famularo D., Pugliese P., Sergeyev Ya.D. (1998) Global Optimization Techniques for Checking Parametric Robustness, Mathematical Theory of Networks and Systems, Proc. of the MTNS `98 Congress, eds. A. Beghi, L. Finesso, G. Picci, Il Poligrafo, Padova, 137-140.

 

  1. Casado L. G., García I., Ya. D. Sergeyev. (1998) A Fast Algorithm for Finding the First Zero-Crossing in a Set of Signals based on Interval Arithmetic. Volume of extended Abstracts of IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN'98), Budapest, pp. 48-51.

 

  1. Famularo D., Pugliese P., Sergeyev Ya.D. (1999) 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, 107-116.

 

  1. Famularo D., Pugliese P., Sergeyev Ya.D. (1999) A Global Optimization Technique for Fixed-Order Control Design, Proc. of the 1999 American Control Conf., AACC, San Diego, 2300-2304.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2001) Adaptive diagonal curves and their implementation, Bulletin of the Nizhni Novgorod State University: Mathematical modelling and optimal control, Vol.2(24), 300-317. 

 

  1. Famularo D., Sergeyev Ya.D., Pugliese P. (2002) 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, 93-110.

 

  1. Sergeyev Ya.D. (2002) Parallel global optimization algorithms, Proc. of the 1st International Workshop Parallel Computations on Clusters, ed. R.G. Strongin, NNGU Press, N. Novgorod, 188-191.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2002) A new diagonal global minimization algorithm, Proc. of the 2nd International Workshop Parallel Computations on Clusters, ed. R.G. Strongin, NNGU Press, N. Novgorod, 265-268.

 

  1. Molinaro A., Pizzuti C., Sergeyev Ya.D. (2002) A diagonal global optimization method, Combinatorial and Global Optimization, eds. P.M. Pardalos, A. Migdalas, and R. Burkard, World Scientific, London, 251-263.

 

  1. Grishagin V.A., Kvasov D.E., Sergeyev Ya.D. (2003) Comparison of synchronous and asynchronous recursive global optimization algorithms,  Proc. of the 3rd International Workshop Parallel Computations on Clusters, ed. R.G. Strongin, NNGU Press, N. Novgorod, 243-246.

 

  1. Grishagin V.A., Sergeyev Ya.D. (2004) Efficiency of parallelization of characteristic global optimization algorithms in the framework of the nested optimization scheme. Proc. of the 4th International Workshop Parallel Computations on Clusters, ed. V.A. Soyfer, RC RAN Press, Samara, 70-74.

 

  1. Sergeyev Ya.D. (2005) Infinity Computer: Principles of work and applications, Proc. of the International Conference on Selected Problems of Modern Mathematics, ed. S.I. Ishanov, KGU Press, Kaliningrad, 211-213.

 

  1. Sergeyev Ya.D. (2005) Mathematical Foundations of the Infinity Computer (invited plenary lecture), Proc. of the XXI Autumn Meeting of Polish Information Processing Society, PIPS, 1-8.

 

  1. Grishagin V.A., Sergeyev Ya.D. (2005) A parallel method for solving multidimensional multiextremal problems with non-convex constraints, Proc. of the 5th International Workshop "Parallel Computations on Clusters", Nizhni Novgorod, November 2005 (Ed. by Strongin R.G.). NNGU Press, 74-83.

 

  1. Kvasov D.E. , Sergeyev Ya.D. (2006) Global search based on efficient diagonal partitions and several techniques for obtaining the Lipschitz information, Proc. of the 3rd International Conference of Applied Mathematics TICAM, Plovdiv, Ed. by Bainov D., Nenov S., University of Plovdiv Press, Vol. 2, 164-165.

 

  1. Sergeyev Ya.D. (2006) Infinity computer and calculus (invited plenary lecture), Proc. of the 3rd International Conference of Applied Mathematics TICAM, Plovdiv, eds. Bainov D., Nenov S., University of Plovdiv Press, Vol. 2,  246-247.

 

  1. Sergeyev Ya.D. (2006) 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, 441-460.

 

  1. Kvasov D.E., Sergeyev Ya.D (2007) A diagonal algorithm for solving black-box multidimensional global optimization problems, In Proc. of the 22nd European Conference on Operational Research EURO XXII, Prague (Czech Republic), July 8-11, 2007. University of Economics Prague Press (Ed. by Jablonsky J.), p.155.

 

  1. Sergeyev Ya.D., Khalaf F.M.H., Kvasov D.E. (2007) 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, 123-140.

 

  1. Sergeyev Ya.D. (2007) Infinity computer and calculus (invited plenary lecture), Proc. of the 5th International Conference of on Numerical Analysis and Applied Mathematics, eds. T.E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conf. Proceedings, Melville, New York, vol. 936, 23-26.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2009) Lipschitz global optimization and estimates of the Lipschitz constant. In "Global Optimization: Theory, Methods and Applications, I", eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, series "Lecture Notes in Decision Sciences", Vol. 12(A), Global Link Publ.: Hong Kong, 518-521.

 

  1. Gorodetsky S.Yu., Sergeyev Ya.D. (2009) A performance estimation of a triangulation global optimization method on the basis of multiextremal functions produced by the GKLS-generator. In V.I.Volchihin and I.V.Boykov (eds.), Proc. of the IV International Conference on Analytical and Numerical Methods for Modelling Natural and Social Problems (ANMM-09). Penza, Penza State University Press, 63-66.

 

  1. Sergeyev Ya.D., Grishagin V.A., Gorodetsky S.Yu, Turlapov V.E. (2009) Mathematical decision-making models with fast numerical algorithms on high-performance computers. In S.M. Arakelyan (ed.), Proc. of the 9th International Workshop 'High-Performance Computing on Clusters', Vladimir, Vladimir State University Press, 343-347.

 

  1. Sergeyev Ya.D. (2009) The Infinity Computer and numerical computations with infinite and infinitesimal numbers. In "Global Optimization: Theory, Methods and Applications, I", eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, series "Lecture Notes in Decision Sciences", Vol. 12(B), Global Link Publ.: Hong Kong; 1026-1031.

 

  1. Sergeyev Ya.D. (2010) A new computational methodology using infinite and infinitesimal numbers, S. Bandini et al. (Eds.), ACRI 2010, LNCS 6350, Springer-Verlag, Berlin Heidelberg, pp. 646–649.

 

  1. Sergeyev Ya.D. (2010) The Infinity Computer and numerical computations with infinite and infinitesimal numbers, H.R. Arabnia, G.A. Gravvanis (Eds.), Proc. of the 2010 International Conference on Scientific Computing, CSREA Press, pp. 6–9.

 

  1. Sergeyev Ya.D. (2011) Numeral systems, their accuracy and numerical computations with finite, infinite and infinitesimal quantities. In Proc. of the 4th International Conference "Mathematics, its applications and mathematical education", Ulan-Ude, Russia, East-Siberian State University Press: Ulan-Ude, 2011, Vol. 1, pp. 284-288.

 

  1. Sergeyev Ya.D. (2011) Diagonal global optimization methods. In Proc. of the 15th Baikal International School-Seminar on "Optimization methods and their applications", Irkutsk, Russia, IDSTU Press: Irkutsk, 2011, Vol. 1, pp. 73-78.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2011) Finding the minimal root of an equation with the multiextremal left part. In Proc. of the 15th Baikal International School-Seminar on "Optimization methods and their applications", Irkutsk, Russia, IDSTU Press: Irkutsk, 2011, Vol. 2, pp. 106-110.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2011) Lipschitz global optimization, Wiley Encyclopaedia of Operations Research and Management Science, Eds. Cochran J.J., Cox L.A., Keskinocak P., Kharoufeh J.P., Smith J.C., New York: John Wiley & Sons, Vol. 4, pp. 2812–2828.

 

7. Papers in national journals and proceedings of national conferences

 

  1. Strongin R.G., Sergeyev Ya.D. (1986) On parallelization of computations in a global search algorithm. In Proc. of the 4-th Conference of Young Scientists of Applied Mathematics & Cybernetics Research Institute of Gorky State University. Gorky. Deposited with VINITI. 10.06.86 N°4227-B86,154-165.

 

  1. Strongin R.G., Sergeyev Ya.D. (1986) Global optimization with parallel computations. In Proc. of the Nation-wide Seminar "Use of Computers in Ecology, Economics & Mathematics". Gorky. Gorky State University, 87-88.

 

  1. Gergel V.P., Sergeyev Ya.D. (1987) Software for organization a man-made dialogue. In Proc. of the 4-th Nation-wide Conference "Design & Automation". Volgograd. VolgPI. Volume 2, 108-110.

 

  1. Sergeyev Ya.D. (1987) On a parallel optimization algorithm. In Proc.of the 7-th Reg. Conference of Young Scientists. Gorky, GPI. P.58.

 

  1. Grishagin V.A., Sergeyev Ya.D. (1988) Parallel characteristical algorithms of optimization. In Proc. of the 8-th Nation-wide Conference "Problems of the Theoretical Cybernetics". Volume 1.  99-100.

 

  1. Sergeyev Ya.D. (1988) A parallelization of computations in global optimization of multiextremal functions.In Proc.of the 8-th Nation-wide Conference "Problems of the Theoretical Cybernetics". Volume 2. P.107.

 

  1. Strongin R.G., Sergeyev Ya.D. (1988) Application of parallel processors in global optimization.In Proc. of the 2-d Nation-wide Conference "Pipeline Systems". Kiev. KPI, 106-108.

 

  1. Sergeyev Ya.D. (1988) Parallel multiextremal optimization.In Proc. of the Nation-wide Conference "The Use of Computers in Ecology, Economics & Mathematics".Saratov. Saratov State University,74-75.

 

  1. Sergeyev Ya.D. (1988) Use of parallel computations in global optimization.In Proc.of the 8-th Reg. Conference of Young Scientists. Gorky .GIIVT, 208-209.

 

  1. Strongin R.G., Sergeyev Ya.D. (1989) On a parallelization of computations in global optimization.In Proc.of the 7-th Conference "Methods of the Mathematical Programming & Software". Sverdlovsk. Ural Branch of the Academy of Sciences USSR. P.198.

 

  1. Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1989) Distributed processes of decision making. In Proc.of the Nation-wide Conference Perspectives of the Development of Local Networks". Moscow-Ivanteevka. CP VNTORES. P.45.

 

  1. Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1989) Organization of man-made dialogue for minicomputers.In Proc.of the Conference "Man-Made Dialogue". Sverdlovsk. Ural Branch of the Academy of Sciences USSR. Volume 2. 169-172.

 

  1. Sergeyev Ya.D. (1989) An asynchronous parallel method of minimization. In Proc.of the 7-d Nation-wide Seminar "Parallelization of Information Processing". Lvov. FMI im. Carpenko AN USSR. Volume 1. 47-48.

 

  1. Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1990) Software for solving multicriterial optimization problems. In Proc.of the 4-d Nation-wide Seminar "Software for Distributed Computing Systems". Moscow. MIFI. 135-136.

 

  1. Sergeyev Ya.D. (1992) Sufficient conditions of convergence for a parallel global optimization algorithm on Holder functions, In Proc. of Interstate Conference "Extremal problems and their applications", Nizhni Novgorod. Nizhni Novgorod State University. P.101.

 

  1. Molinaro A., Sergeyev Ya.D., C. Pizzuti (1996) A new approach for solving the first zero-crossing problems in electronics, Italian Society for Computer Simulation, University Tor Vergata Press, Rome, 67-72.

 

  1. Sergeyev Ya.D. (1996) Parallel global optimization algorithms with and without derivatives. In Proc. of the International Conference AIRO'96, Perugia, Perugia University Press, 323-326.

 

  1. Molinaro A., Sergeyev Ya.D., C. Pizzuti (1998) An efficient algorithm for the zero crossing detection in digitised measurement signals, Proc. ISCS '97, 68-75.

 

  1. Eisinberg A., Molinaro A., Sergeyev Ya.D. (1999) Finding the minimal root of an equation, Proc. AIRO'99, Napoli, Edizioni Scientifiche Italiane, 131.

 

  1. Sergeyev Ya.D. (2005) A few remarks on philosophical foundations of a new applied approach to Infinity, Scheria, vol. 26-27, pp. 63-72.

 

  1. Khalaf F., Kvasov D.E., and Sergeyev Ya.D. (2006) One-dimensional global optimization problems with multiextremal constraints, atti del convegno "SIMAI 2006 - VIII Congress of the Italian Society for Applied and Industrial Mathematics", a cura di Puccio L. et al., Universita' degli Studi di Messina, P. 184.

 

  1. Sergeyev Ya.D. (2006) Infinity Computer and Calculus, atti del convegno "SIMAI 2006 - VII Congress of the Italian Society for Applied and Industrial Mathematics", a cura di Puccio L. et al., Universita' degli Studi di Messina,  P. 230.

 

8. Didactic papers

 

  1. Gergel V.P., Sergeyev Ya.D. (1988) Software for creating dialogue systems. Gorky. Gorky State University. 22p. (In Russian).

 

  1. Strongin R.G., Sergeyev Ya.D. (1988) A simulation of computations in multi-PU systems (an example of solving multiextremal problems). Gorky .Gorky State University. 32 p. (In Russian).

 

  1. Sergeyev Ya.D., Korovina T.A. (1991) Software for secondary school, Nizhni Novgorod. Nizhni Novgorod State University. 27p. (In Russian).

 

  1. Infante D., Sergeyev Ya.D., Trifonov Yu.V., Doronichev D.A., Gorbunova M.L. (1999) On economical education at universities in Italy and Russian Federation, Proc. of the 2d International Conference on Regional Aspects of Public Economics, Nizhni Novgorod State University Press, Nizhni Novgorod. 250-251. (In Russian).

 

  1. Grishagin V.A., Sergeyev Ya.D. (2001) Principles of mutual recognition of diploma studies in the structure of Russian-Italian University, Proc. Of the 3rd International Conference on Regional Aspects of Public Economics, Nizhni Novgorod State University Press, Nizhni Novgorod, Vol.1, 110-113. (In Russian).

 

  1. Grishagin V.A., Groudzinski A.O., Infante D., Kokine A.S., Maslauskas A., Petrova O.V., Plum V., Rasmussen E., Sergeyev Ya.D., Strongin R.G., Wolffsen P. (2002) Mutual academic recognition between Russian Federation and EU certified by two diplomas, Nizhni Novgorod State University Press, Nizhni Novgorod, 73 pp.

 

  1. Sergeyev Ya.D. (2006) Misuriamo l’infinito: Un semplice modo per insegnare i concetti delle grandezze infinite, Periodico di Matematiche, 6(2), 11-26.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2006) Analysis of global optimization methods by using a generator of classes of test functions. NNGU Press, Nizhni Novgorod, 48 p. (In Russian).

 

  1. Strongin R.G., Grishagin V.A., Sergeyev Ya.D. (2006) An innovative international educational project “Russian-Italian University”, Innovations in Education Bulletin of the Nizhni Novgorod State University, 7(1), 132-157, (In Russian).

 

9. Technical reports

 

  1. Shvezov V.I., Gergel V.P., Sergeyev Ya.D. (1986) Local networks based on SM-microcomputers. Research Report, State Registration Number 01860081646, N°02.86.0062957. Gorky. Gorky State University.31p.(In Russian).

 

  1. Gergel V.P., Sergeyev Ya.D., Strongin R.G., Shvezov V.I. (1988) Program system STIMUL. Research Report. State Registration Number 01860081646, N°02.88.0061732. Gorky. Gorky State University. 21p. (In Russian).

 

  1. Gergel V.P., Grishagin V.A., Kastosov I.V., Kulacova A.P., Kutasova T.Yu., Kuzin S.G., Sergeyev Ya.D., Strongin R.G., Shvezov V.I. (1989) Integrated program system for optimal design of technological processes.Research Report, State Registration Number 01860081646, N°029.00-021998. Gorky. Gorky State University. 130p. (In Russian).

 

  1. Sergeyev Ya.D. (1989) Parallel numerical methods of global minimization. Research Report. State Registration Number 0188.0064162, N°0289005071. Gorky. Gorky State University. 78 p. (In Russian).

 

  1. Strongin R.G., Gergel V.P., Grishagin V.A., Sergeyev Ya.D. (1990) Decision making subsystem for CAD-systems.Research Report. State Registration Number 0188.0064162, Nizhni Novgorod. Nizhni Novgorod State University. 19p. (In Russian)

 

  1. Strongin R.G., Gergel V.P., Grishagin V.A., Sergeyev Ya.D. (1990) Integrated decision making system for technological processes. Research Report.State Registration Number 0188.0064162, Nizhni Novgorod.Nizhni Novgorod State University, 41p. (In Russian).

 

  1. Gergel V.P., Sergeyev Ya.D., Strongin R.G. (1990) A parallel method for global optimization and its implementation on a transputer system. Report NI 90-04. Lyngby. Technical University of Denmark, 23 p.

 

  1. Sergeyev Ya.D., Grishagin V.A. (1991) A parallel method for finding the global minimum. Report N°114. Rende-Cosenza. Università della Calabria, Dipartimento di Sistemi, 28 p.

 

  1. Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1991) An approach to the creation of parallel characteristical algorithms for global optimization. Report N°107. Rende-Cosenza. Università della Calabria, Dipartimento di Sistemi, 10 p.

 

  1. Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1992) Probabilistic load balancing strategy with the neighbourhood synchronization. Technical Report N°92-03. CRAI, 28 p.

 

  1. Cerulli R., Gaudioso M., Sergeyev Ya.D. (1992) A multiplier adjustment technique for concentrator location problem, N°26. Rende-Cosenza. Università della Calabria, Dipartimento di Elettronica, Informatica e Sistemistica, 10 p.

 

  1. Sergeyev Ya.D. (1992) A one-dimensional global minimization algorithm using local estimation of Lipschitz constant, Report N° 28, Rende-Cosenza. Università della Calabria, DEIS, 19p.

 

  1. Sergeyev Ya.D. (1992) An information global optimization algorithm with local tuning, Report N° 29, Rende-Cosenza, Università della Calabria, DEIS, 19p.

 

  1. Sergeyev Ya.D. (1994) "Divide the best" algorithms for global optimization, Report N° 2/94, Rende-Cosenza. Università della Calabria, Dipartimento di Matematica, 14p.

 

  1. Markin D.L., Sergeyev Ya.D. (1994) An information algorithm with local tuning for solving global optimization problems with nonlinear constraints, Report N° 4/94, Rende-Cosenza, Università della Calabria, Dipartimento di Matematica, 14p.

 

  1. Gergel V.P., Sergeyev Ya.D., (1994) Sequential and parallel global optimization algorithms using derivatives, Report N° 7/94, Rende-Cosenza, Università della Calabria, Dipartimento di Matematica, 14p.

 

  1. Sergeyev Ya.D. (1994) A global optimization algorithm using derivatives and local tuning, Report N° 1, ISI-CNR, Rende-Cosenza, 24p.

 

  1. Sergeyev Ya.D. (1994) Global optimization algorithms using smooth auxiliary functions, Report N° 5, ISI-CNR, Rende-Cosenza, 33p.

 

  1. Sergeyev Ya.D. (1994) A multidimensional global optimization algorithm using derivatives and local tuning, Report N° 6, ISI-CNR, Rende-Cosenza, 23p.

 

  1. Sergeyev Ya.D. (1994) On symmetric exponential sums, Report N° 7, ISI-CNR, Rende-Cosenza, 11p.

 

  1. Molinaro A., Sergeyev Ya.D. (1995) Finding zero crossing points in electrotechnical problems, Report N° 9, ISI-CNR, Rende-Cosenza, 16p.

 

  1. Sergeyev Ya.D. (1995) A two-points-three-intervals partition of the N-dimensional hyperinterval, Report N° 10, ISI-CNR, Rende-Cosenza, 7p.

 

  1. Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1996) Solving an optimization problem arising in electrical engineering, Report N° 5, ISI-CNR, Rende-Cosenza, 25p.

 

  1. Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1996) On convergence of parallel characteristical GO algorithms, Report N° 19, ISI-CNR, Rende-Cosenza, 36p.

 

  1. Sergeyev Ya.D. (1996) Parallel computations and local information for solving global optimization problems, Nizhni Novgorod University Press, 343p.

 

  1. Sergeyev Ya.D. (1997) A parallel GO algorithm using Peano curves, Report N° 1, ISI-CNR, Rende-Cosenza, 6p.

 

  1. Sergeyev Ya.D. (1998) Efficient partition of the N-dimensional hyperintervals, Report N° 1, ISI-CNR, Rende-Cosenza, 24p.

 

  1. Casado L.G., García I., Sergeyev Ya.D. (1998) Interval global optimization for finding the first zero-crossing point, Report N° 2, ISI-CNR, Rende-Cosenza, 14p.

 

  1. Sotchkov A.L., Pizzuti C., Sergeyev Ya.D. (1998) Problems of Torsional Vibrations Reduction in Electromechanical Systems Based on an Alternating Current Electric Machine with a Power Static Converter, Report N° 4, ISI-CNR, Rende-Cosenza, 16p.

 

  1. Molinaro A., Sergeyev Ya.D. (1998) Studying the minimal root problem for the multiextremal and nondifferentiable functions, Report N° 5, ISI-CNR, Rende-Cosenza, 26p.

 

  1. Famularo D., Pugliese P., Sergeyev Ya.D. (1998) A global optimization technique for checking parametric robustness, Report N° 6, ISI-CNR, Rende-Cosenza, 14p.

 

  1. Molinaro A., Pizzuti C., Sergeyev Ya.D. (1998) A new global optimization method based on the diagonal approach, Report N° 11, ISI-CNR, Rende-Cosenza, 14p.

 

  1. Molinaro A., Pizzuti C., Sergeyev Ya.D. (1998) On acceleration of diagonal information GO algorithms, Report N° 12, ISI-CNR, Rende-Cosenza, 26p.

 

  1. Sergeyev Ya.D., Grishagin V.A., (1998) A parallel asynchronous GO method using the nested optimization scheme, Report N° 14, ISI-CNR, Rende-Cosenza, 27p.

 

  1. Casado L.G., García I., Sergeyev Ya.D. (1999) Interval analysis for robust finding the minimal root in a set of equations, Report N° 28, ISI-CNR, Rende-Cosenza, 16p.

 

  1. Famularo D., Sergeyev Ya.D., Pugliese P. (2001) Test Problems and Numerical Comparison for Lipschitz univariate global optimization with multiextremal constraints, Report N° 1, ISI-CNR, Rende-Cosenza, 18p.

 

  1. Kvasov D.E., Pizzuti C., Sergeyev Ya.D. (2001) Comparison of two partition strategies in diagonal global optimization algorithms, Report N° 9, ISI-CNR, Rende-Cosenza, 16p.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2002), A new optimization algorithm using adaptive diagonal curves and its numerical testing. ISI-CNR, Report N° 1, Rende-Cosenza, 13p.

 

  1. Sergeyev Ya.D. (2004) A new approach for executing calculations with finite, infinite, and infinitesimal quantities. Technical report RT-ICAR-CS-04-14. ICAR-CNR, Rende (CS), 46 p.

 

  1. Sergeyev Ya.D., Kvasov D.E. (2004) Diagonal Lipschitz global optimization algorithm working with a set of Lipschitz constants, Technical Report RT-ICAR-CS-04-15, ICAR-CNR, Rende (CS), 33 pages.

 

  1. Sergeyev Ya.D. (2007) Remarks on exact numerical differentiation, Technical Report RT-ICAR-CS-07-4, ICAR-CNR, Rende (CS), 9 pages.

 

  1. Sergeyev Ya.D. (2008) An example of the usage of blinking fractals for describing processes of growth of biological systems, Technical Report RT-ICAR-CS-08-1, ICAR-CNR, Rende (CS), 25 pages.

 

  1. Sergeyev Ya.D. (2008) Towards Differential Calculus with functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains, Technical Report RT-ICAR-CS-08-5, ICAR-CNR, Rende (CS), 32 pages.

 

  1. Sergeyev Ya.D., Garro A. (2008) Turing Machines and their observation, Technical Report RT-ICAR-CS-08-6, ICAR-CNR, Rende (CS), 30 pages.

 

  1. Kvasov D.E., Sergeyev Ya.D. (2008) A numerical global optimization method working with a set of Lipschitz constants for derivatives, Technical Report RT-ICAR-CS-08-7, ICAR-CNR, Rende (CS), 14 pages.