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  AM&CP  » Structure » Staff » Polyakova L. N.

Polyakova Lyudmila Nikolaevna

[photo]

D.Sc., Professor, the Head Mathematical Modelling of Control System

Room 454
E-mail: lnpol07@mail.ru

Publications

1. Demyanov V.F., Polyakova L.N., Rubinov A.M. Quasidifferential calculus and application // ICM Warszava, 1983. Section 9. Part 1. P. 48.

2. Demyanov V.F., Polyakova L.N., Rubinov A.M. Nonsmoothness and quasidifferentibility // Mathematical Programming Study, 1986. V.29. Pp. 1-19.

3. Polyakova L.N. On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints MathematicalProgramming Study, 1986. V.29. Pp. 44-55.

4. Polyakova L.N. On minimizing the sum of a convex and a concave function // Mathematical Programming Study, 1986. Vol.29. Pp. 69-73.

5. Dem'yanov V.F., Stavroulakis G.E., Polyakova L.N. Quasidifferentiability in nonsmooth, nonconvex mechanics // Journal of Global Optimization, 1995. No 6. P 327-345.

6. Dem'yanov V.F., Stavroulakis G.E., Polyakova L.N., Panagiotopoulos P.D.. Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics. Kluwer Academic,Doordrecht, 1996. 350 p.

7. Stavroulakis G.E., Polyakova L.N. Difference convex opitimization techniques in Nonsmooth computational Mechanics // Optimization Methods & oftware, 1996. V.7. Pp. 57-81.

8. Stavroulakis G.E., Polyakova L.N.Nonsmooth and nonconvex structural analysis algorithms based on difference convex otimization techniques //Structural Optimization, Springer - Verlag, 1996. N 12. P. 167-176.

9. L.Polyakova, G. Stavroulakis. QD and DC optimization for pseudoelastic modelling of shape memmory alloys//In book: Quasidifferentiability and Related Topics. Nonconvex Optimization and Its Applications. Vol.43. Kluver Academic publishers. 2000. Pp.215-234.

10. Polyakova L.N. Nonsmooth penalty function. Preprints of the eleventh International Workshop "Control Applications of Optimization".CAO 2000. July 3-6, 2000. Saint-Petersburg, 2000. Vol. 1. Pp. 278--282.

11. Polyakova L. Quasidifferentiable optimization: Exact penalty methods.\ In Encyclopedia of optimization. Editors C.A.Floudas,P.M.Pardalos. Kluwer Academic Publishers. 2001, Vol 4, 478--483.

12. L.N.Polyakova. On global properties of d.c. functions// From Convexity to Nonconvexity. R.P. Gilbert, P.D. Panagiotipoulos, P.M. Pardalos (Eds.); Nonconvex Optimization and its Applications, Kluwer Academic Publishers. 2001, v. 55,pp. 223-231.

13. Lyudmila N. Polyakova Quasidifferentiable Optimization: Exact Penalty Methods // Encyclopedia of Optimization. C. A. Floudas and P. M. Pardalos (Eds.). Second Edition. — New York, — 2009. — P. 4646 pp. 3200-3205.

14. Polyakova L. On global unconstrained minimization of the difference of polyhedral functions.// Journal of Global Optimizations.2011. V.50. N 2, Pp. 179-195.

15. L Polyakova. Global optimization of the difference of polyhedral functions// In: Abstracts of the International Congress of Mathematicians, August 13 - 21, 2014, Seoul, Korea. Abstracts. P590.

16. L.Polyakova, V.Karelin. Exact penalty methods for nonsmooth optimization// In: Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on. June 30 2014-July 4 2014. IVESC-ICEE-ICCTREA-BDO-2014. Proceedings. Edited by: D. A. Ovsyannikov. Publisher: IEEE Pp. 135-136.

17. Bure, V.M., Karelin, V.V., Polyakova, L.N. The problem of resource allocation between the protection system and constructing redundant components // Applied Mathematical Sciences. Vol. 9, Iss. 96, 2015, Pages 4771-4779.

18. V.Karelin, D.Lebedev, L.Polyakova. Exact penalty methods for minimizing of nonsmooth function on сonvex sets.//Applied Mathematical Sciences. Vol 9, Iss 128, 2015, Pp 6383-6390.

Scientific publications

  1. Bure, V.M., Karelin, V.V., Polyakova, L.N. The problem of resource allocation between the protection system and constructing redundant components. // Applied Mathematical Sciences. 2015. Vol 9, Issue 96,. 4771-4779.
  2. L Polyakova. Global optimization of the difference of polyhedral functions. // Abstracts of the International Congress of Mathematicians, August 13 - 21, 2014, Seoul, Korea. Abstracts. Short Communications. 2014. 590.
  3. L.Polyakova, V.Karelin. Exact penalty methods for nonsmooth optimization. // Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on. June 30 2014-July 4 2014.Proceedings. Edited by: D. A. Ovsyannikov. 2014. 135-136.
  4. Molchanova I.Y., Polyakova L.N., Popova M.A. Constructing the polar cone of a convex polyhedral cone in R^3. // Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления. Изд-во Санкт-Петербургского университета., 2014. N 4. 56-63.
  5. L. Polyakova, V. Karelin. Exact penalty functions method for solving problems of nondifferentiable optimization. // CYBERNETICS AND PHYSICS,. SmartFly, LLC, 2014. Vol. 3, No. 3. 124-129.
  6. Polyakova L.N. On global unconstrained minimization of the difference of polyhedral functions. // Journal of Global Optimizations. 2011. Vol. 50, N 2. 179-195.
  7. Polyakova L.N. Quasidifferentiable Optimization: Exact Penalty Methods. // Encyclopedia of Optimization. C. A. Floudas and P. M. Pardalos (Eds.). Second Edition. Springer US, 2009. 3200-3205.
  8. Polyakova L. Quasidifferentiable optimization: Exact penalty methods // Encyclopedia of optimization / Ed. C.A.Floudas, P.M.Pardalos. Doordrecht: Kluwer Academic Publ. 2001. Vol.4. P.478-483.
  9. L.N.Polyakova. On global properties of d.c. functions // From Convexity to Nonconvexity. R.P. Gilbert,P.D. Panagiotipoulos, P.M. Pardalos (Eds.); Nonconvex Optimization and its Applications,. Kluwer Academic Publishers, 2001. 55. 223-231.
  10. Polyakova L.N. Nonsmooth penalty function // Preprints of the 11th IFAC Intern. Workshop "Control Applications of Optimization". (CAO 2000), July 3-6, 2000. St.-Petersburg. 2000. Vol. 1. P. 278-282.
  11. Dem'yanov V.F., Stavroulakis G.E., Polyakova L.N., Panagiotopoulos P.D. Quasidifferentiability and nonsmooth modelling in mechanics, engineering and economics. Doordrecht: Kluwer Academic, 1996. 350 p.
  12. Stavroulakis G.E., Polyakova L.N. Difference convex optimization techniques in nonsmooth computational mechanics // Optimization Methods & Software. 1996. Vol.7. P.57-81.