Dudov
Sergey
Ivanovich
Dudov, S.I. (born August 6, 1949 in Volsk) graduated Saratov State University, Faculty of Mathematics and Mechanics in 1971. In 1971-1973 he worked as an engineer and junior research fellow at SSU Computation Center. In 1973-1976 he did graduate studies in computational mathematics under the supervision of Prof. A.P. Khromov. In 1979-1987 Dudov, S.I. worked as a junior and then senior research fellow at SSU Computation Center cooperating with radio technical equipment designers. He chose minimax problems of a specific type and some problems of ensemble estimation using simple geometric structure ensembles.
In 1988-1997 Dudov, S.I. worked as an Associate professor of the Department of Differential Equations and Applied Mathematics. He delivered a course in Optimization Methods and special courses in Minimax Theory, Nonsmooth Analysis Basics, Extremum Conditions Generation Methods, Problems of Parameter Optimization of Designed Devices Using Value-Quality Criteria. He also continued to study arguments difference function maximin problems.
Since 1998 Dudov, S.I. has been a Chair of the Department of Mathematic Economics. His research interests mainly concern nonsmooth analysis and nondifferential optimization and using mathematic methods in economics.
- Necessary and Sufficient Conditions of Arguments Difference Function Maximin// Computation Mathematics and Mathematical Physics Journal. 1992. Vol. 32. № 12. P.1869-1884
- Differentiability in Distance Function Directions// Mathematic collection. 1995. Vol. 186. № 3. P.29-52.
- Internal Convex Set Estimate by Body Norm// Computation Mathematics and Mathematical Physics Journal. 1996. Vol. 36. P. 153-159.
- Subdeffirentiability and Superdifferentiability of Distance Function// Mathematic Notes. 1997. Vol. 61. № . P. 530-542.
- To the Problem of Fixed Tolerance// Computation Mathematics and Mathematical Physics Journal. 1997. Vol. 37. № 8. P. 937-944.
- Penot Subdifeerential Formula for Distance Function// Vestnik MSU. Series 15. Computational Math and Cybernetics. 1997. № 4. P. 46-47.
- Convex and Concave Approximations of Distance Function// Cybernetics and System Analysis. 1998. № 3. P.104-116.
- About Generalized Gradient of Distance Function// Science and technology Results. Modern mathematics and Its Application. Vol. 2. Nonsmooth Analysis and Optimization. P. 5-14.
- Uniform Estimate of Convex Compact by a Sphere of Arbitrary Form// Mathematic Collection. Vol. 191. № 10. 2000. P. 13-38. (with Zlatorunskaya I.V.)
- On Directional Differentiability of Marginal Functions in Quasidifferentiable Case // Nonconvex Optimization and Its Applications. Kluwer Academic Publishers: 2000. V.43. Quasidifferentiability and Related Topics. P. 139-149.
- About Estimation of Convex Compact by Spherical Segment// Izvestia Saratovskogo Universiteta. New Series. 2001. Vol. 1. Issue 2. P. 64-74.
- Best Approximation of a Compact Convex Set by a Ball of an Arbitrary Norm // Advances in Mathematics Research . Nova Science Publishers: 2003 v.2, p.81-114. (with Zlatorunskaya I. V.)
- Approximate Uniform Estimate of Convex Compact by a Sphere of Arbitrary Form// Computation Mathematics and Mathematical Physics Journal. 2005. Vol. 45. № 3. P. 416-428. with Zlatorunskaya I. V.)
- Interconnection of Some Problems of Convex Compact Estimation by a Sphere. Mathematic Collection. 2007. Vol. 198. № 1. P. 43-58.
- About Solution Stability for Problems of External and Internal Estimation of Convex Compact by a Sphere// Computation Mathematics and Mathematical Physics Journal. 2007. Vol. 47. № 10. P. 1657-1671. (with Dudova A.S.)
- About Approximation of Continuous Multivalued Function by Continuous Multivalued Functions with Spherical Images// Mathematic Notes. 2007. Vol. 82. Issue 4. P. 525-529. (with Konoplev A.B.)
- External Estimation of Segment Function by Polynomial Band// Computation Mathematics and Mathematical Physics Journal. 2009. Vol. 49. № 7. P. 1175-1183. (with Vygodchikova I.Yu., Sorina E.V.)
- Universal Estimation of Segment Function by Polynomial Band of Fixed Width// Computation Mathematics and Mathematical Physics Journal. 2011. Vol.51. № 11. P. 1981-1994. (with Sorina E.V.)
- Universal Estimation of Segment Function by Polynomial Band // Algebra and Analysis. 2012. Vol.24. №5. P.44-71. (with Sorina E.V.)
- About Approximate Solution Method of Asphericity of a Convex Body Problem// Computation Mathematics and Mathematical Physics Journal. 2013. Vol. 53. № 10. P. 1668-1678. (with Mescheriakova E.A.)
- Supervisor of Russian Foundation for Basic Research grants 95-01-00156, 98-01-0048, 13-01-00175
- Executioner of Russian Foundation for Basic Research grants 06-01-00003, 10-01-00270, 13-01-00238
- Executioner of Presidential grants “Leading Scientific Schools” 00-15-96123, НШ-1295.2003.1, НШ-2970.2008.1, НШ-4383.2010.1