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Balashov, Maxim Viktorovich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 19
Presentations: 10

Number of views:
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Abstract pages:8887
Full texts:2923
References:683
Balashov, Maxim Viktorovich
Associate professor
Doctor of physico-mathematical sciences (2011)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
E-mail:
Keywords: strongly convex and generating sets, set-valued functions, selectors, optimization, geometry of Banach spaces, proximal smoothness, weak convexity, uniform convexity, uniform smoothness, separation by sphere, supporting ball.
UDC: 519.7, 519.85, 519.626.2, 517.977, 517.977.8, 517.982.252, 517.982.256, 517.98
MSC: 90C25, 49J52, 52A07

Subject:

Geometry of Banach spaces, set-values analysis, optimization.

   
Main publications:
  • M. V. Balashov, E. S. Polovinkin. M-silno vypuklye mnozhestva i ikh porozhdayuschie podmnozhestva // Matem. sb. 2000. T. 191. # 1. S. 27–64.
  • E. S. Polovinikn, M. V. Balashov. Elementy vypuklogo i silno vypuklogo analiza. M., Fizmatlit. 2007. 2-e izd., ispravlennoe i dopolnennoe. 440 s.
  • Balashov, Maxim V.; Repovs, Dusan, Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order, Journal of Mathematical Analysis and Applications Volume: 377 Issue: 2, 2011, Pages: 754-761.
  • Balashov, MV, On the P-property of compact convex sets, Mathematical Notes, Volume: 71 Issue: 3-4, 2002, Pages: 295-304.
  • Balashov, Maxim V., About the Gradient Projection Algorithm for a Strongly Convex Function and a Proximally Smooth Set, Journal of Convex Analysis, Volume: 24 Issue: 2, 2017, Pages: 493-500.

http://www.mathnet.ru/eng/person8690
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/662112
http://www.researcherid.com/rid/L-2315-2013
https://www.scopus.com/authid/detail.url?authorId=55947326500

Publications in Math-Net.Ru
2021
1. M. V. Balashov, “Growth Conditions on a Function and the Error Bound Condition”, Mat. Zametki, 109:4 (2021),  625–630  mathnet  elib; Math. Notes, 109:4 (2021), 638–643  isi  scopus
2020
2. M. V. Balashov, “On the Gradient Projection Method for Weakly Convex Functions on a Proximally Smooth Set”, Mat. Zametki, 108:5 (2020),  657–668  mathnet  mathscinet  elib; Math. Notes, 108:5 (2020), 643–651  isi  scopus
3. M. V. Balashov, “The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient”, Mat. Sb., 211:4 (2020),  3–26  mathnet  mathscinet  elib; Sb. Math., 211:4 (2020), 481–504  isi  scopus
4. M. V. Balashov, “Gradient projection method on matrix manifolds”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1453–1461  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1403–1411  isi  scopus
2019
5. M. V. Balashov, “The Pliś metric and Lipschitz stability of minimization problems”, Mat. Sb., 210:7 (2019),  3–20  mathnet  mathscinet  elib; Sb. Math., 210:7 (2019), 911–927  isi  scopus
2018
6. M. V. Balashov, “The Lipschitz property of the metric projection in the Hilbert space”, Fundam. Prikl. Mat., 22:1 (2018),  13–29  mathnet
2017
7. M. V. Balashov, “Inscribed balls and their centers”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017),  1946–1954  mathnet  elib; Comput. Math. Math. Phys., 57:12 (2017), 1899–1907  isi  scopus
2016
8. M. V. Balashov, “On polyhedral approximations in an $n$-dimensional space”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1695–1701  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1679–1685  isi  scopus
2013
9. M. V. Balashov, “Maximization of a function with Lipschitz continuous gradient”, Fundam. Prikl. Mat., 18:5 (2013),  17–25  mathnet  mathscinet; J. Math. Sci., 209:1 (2015), 12–18  scopus
2009
10. M. V. Balashov, G. E. Ivanov, “Weakly convex and proximally smooth sets in Banach spaces”, Izv. RAN. Ser. Mat., 73:3 (2009),  23–66  mathnet  mathscinet  zmath  elib; Izv. Math., 73:3 (2009), 455–499  isi  elib  scopus
2008
11. M. V. Balashov, I. I. Bogdanov, “Properties of $P$-sets and Trapped Compact Convex Sets”, Mat. Zametki, 84:4 (2008),  496–505  mathnet  mathscinet  zmath; Math. Notes, 84:4 (2008), 465–472  isi  scopus
2007
12. G. E. Ivanov, M. V. Balashov, “Lipschitz continuous parametrizations of set-valued maps with weakly convex images”, Izv. RAN. Ser. Mat., 71:6 (2007),  47–68  mathnet  mathscinet  zmath  elib; Izv. Math., 71:6 (2007), 1123–1143  isi  elib  scopus
2006
13. M. V. Balashov, G. E. Ivanov, “Properties of the metric projection on weakly vial-convex sets and parametrization of set-valued mappings with weakly convex images”, Mat. Zametki, 80:4 (2006),  483–489  mathnet  mathscinet  zmath  elib; Math. Notes, 80:4 (2006), 461–467  isi  scopus
14. M. V. Balashov, G. E. Ivanov, “On Farthest Points of Sets”, Mat. Zametki, 80:2 (2006),  163–170  mathnet  mathscinet  zmath  elib; Math. Notes, 80:2 (2006), 159–166  isi  scopus
2002
15. M. V. Balashov, “On the $P$-Property of Compact Convex Sets”, Mat. Zametki, 71:3 (2002),  323–333  mathnet  mathscinet  zmath  elib; Math. Notes, 71:3 (2002), 295–304  isi  scopus
16. M. V. Balashov, “An Analog of the Krein–Mil'man Theorem for Strongly Convex Hulls in Hilbert Space”, Mat. Zametki, 71:1 (2002),  37–42  mathnet  mathscinet  zmath  elib; Math. Notes, 71:1 (2002), 34–38  isi  scopus
2001
17. M. V. Balashov, “Geometric Difference of Multivalued Maps”, Mat. Zametki, 70:2 (2001),  163–169  mathnet  mathscinet  zmath  elib; Math. Notes, 70:2 (2001), 147–153  isi
18. E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Mat. Sb., 192:10 (2001),  95–122  mathnet  mathscinet  zmath; Sb. Math., 192:10 (2001), 1515–1542  isi  scopus
2000
19. M. V. Balashov, E. S. Polovinkin, “$M$-strongly convex subsets and their generating sets”, Mat. Sb., 191:1 (2000),  27–64  mathnet  mathscinet  zmath; Sb. Math., 191:1 (2000), 25–60  isi  scopus

2016
20. M. V. Balashov, O. V. Besov, B. I. Golubov, V. V. Goryainov, V. N. Diesperov, S. I. Dudov, G. E. Ivanov, S. P. Konovalov, R. V. Konstantinov, A. B. Kurzhanskii, S. R. Nasyrov, A. G. Sergeev, V. V. Starkov, V. M. Tikhomirov, M. I. Shabunin, “Evgenii Sergeevich Polovinkin (on his 70th birthday)”, Uspekhi Mat. Nauk, 71:5(431) (2016),  187–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 71:5 (2016), 983–987  isi
2010
21. M. V. Balashov, I. I. Bogdanov, R. N. Karasev, “Студенческие математические олимпиады МФТИ”, Mat. Pros., Ser. 3, 14 (2010),  214–224  mathnet

Presentations in Math-Net.Ru
1. Чебышевский центр и некоторые задачи, связанные с поведением множества достижимости линейной управляемой системы.
M. V. Balashov
Geometric Theory of Optimal Control
November 17, 2021 16:45   
2. Множества достижимости линейных систем и некоторые связанные с ними оптимизационные задачи
M. V. Balashov
All-Moscow regular scientific seminar "Control Theory and Optimization"
October 19, 2021 11:30
3. Stability of minimization problems and the error bound conditions in the Hilbert space
M. V. Balashov
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 6, 2021 15:30   
4. Чебышевский центр множества: свойства и вычисление
M. V. Balashov
All-Moscow regular scientific seminar "Control Theory and Optimization"
April 20, 2021 11:30
5. Сходимость градиентных методов на гладких многообразиях
M. V. Balashov
All-Moscow regular scientific seminar "Control Theory and Optimization"
November 3, 2020   
6. Метод проекции градиента для гладкой функции и проксимально гладкого множества
M. V. Balashov
All-Moscow regular scientific seminar "Control Theory and Optimization"
November 27, 2018 11:30
7. Метод проекции градиента для гладких функций и множеств. Невыпуклый случай
M. V. Balashov
All-Moscow regular scientific seminar "Control Theory and Optimization"
September 18, 2018 11:30
8. Метрика Плиша и липшицева устойчивость задач минимизации
M. V. Balashov
Seminar on Theory of Functions of Real Variables
October 13, 2017 18:30
9. Условие Липшица для метрической проекции в гильбертовом пространстве
M. V. Balashov
Seminar on Theory of Functions of Real Variables
February 19, 2016 18:30
10. The Clarkson-Polyak Modulus of Convexity and its Applications
M. V. Balashov
International conference "Optimization and Applications in Control and Data Science" on the occasion of Boris Polyak's 80th birthday
May 15, 2015 12:00   

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