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Balashov, Maxim Viktorovich

Author ID: balashov.maxim-viktorovich Recent zbMATH articles by "Balashov, Maxim Viktorovich"
Published as: Balashov, M. V.; Balashov, Maxim V.; Balashov, Maksim Viktorovich; Balashov, Maxim Viktorovich
Documents Indexed: 57 Publications since 2000, including 1 Book
Co-Authors: 22 Co-Authors with 26 Joint Publications
990 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 387 times in 202 Documents Cited by Year
Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028
Polovinkin, E. S.; Balashov, M. V.
81
2007
\(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014
Balashov, M. V.; Polovinkin, E. S.
42
2000
Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013
Balashov, M. V.; Ivanov, G. E.
31
2009
Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024
Balashov, M. V.; Polyak, B. T.; Tremba, A. A.
23
2020
About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056
Balashov, Maxim V.
16
2017
An algorithm for the numerical solution of linear differential games. Zbl 1128.91305
Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V.
16
2001
Uniform convexity and the splitting problem for selections. Zbl 1180.54041
Balashov, Maxim V.; Repovš, Dušan
16
2009
About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075
Balashov, Maxim V.; Golubev, Maxim O.
13
2012
Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165
Balashov, M. V.
11
2015
On farthest points of sets. Zbl 1124.46007
Balashov, M. V.; Ivanov, G. E.
11
2006
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010
Balashov, Maxim V.; Repovš, Dušan
8
2011
Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001
Balashov, M. V.; Ivanov, G. E.
8
2006
Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046
Balashov, M. V.
7
2015
The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036
Balashov, Maxim V.
6
2020
On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008
Balashov, M. V.
5
2016
On the \(P\)-property of convex compact sets. Zbl 1052.52004
Balashov, M. V.
5
2002
Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004
Balashov, Maxim V.; Repovš, Dušan
5
2010
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224
Balashov, M. V.; Tremba, A. A.
5
2022
The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
5
2021
Gradient projection method on matrix manifolds. Zbl 1452.90248
Balashov, M. V.
5
2020
The farthest and the nearest points of sets. Zbl 1411.41021
Balashov, Maxim V.; Ivanov, Grigorii E.
5
2018
On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005
Balashov, Maxim Viktorovich; Repovs, Dusan
4
2012
Sufficient conditions for the linear convergence of an algorithm for finding the metric projection of a point onto a convex compact set. Zbl 1527.90154
Balashov, M. V.
4
2023
On the splitting problem for selections. Zbl 1169.54007
Balashov, Maxim V.; Repovš, Dušan
4
2009
Polyhedral approximations of strictly convex compacta. Zbl 1226.52001
Balashov, Maxim V.; Repovš, Dušan
4
2011
Weak convexity of the distance function. Zbl 1276.46061
Balashov, Maxim V.
4
2013
On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155
Balashov, M. V.
4
2020
An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026
Balashov, M. V.
3
2002
The strong convexity supporting condition and the Lipschitz condition for the metric projection. Zbl 1545.90131
Balashov, M. V.; Biglov, K. Z.
3
2024
Strong convexity of reachable sets of linear systems. Zbl 1520.93034
Balashov, Maxim V.
3
2022
The gradient projection method with Armijo’s step size on manifolds. Zbl 1481.65087
Balashov, M. V.; Kamalov, R. A.
3
2021
The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023
Balashov, Maksim Viktorovich
3
2019
On the geometric difference of multivalued mappings. Zbl 1037.47034
Balashov, M. V.
2
2001
Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003
Ivanov, G. E.; Balashov, M. V.
2
2007
Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005
Balashov, Maxim V.
2
2022
Covering a set by a convex compactum: error estimates and computation. Zbl 1505.90141
Balashov, M. V.
2
2022
Stability of minimization problems and the error bound condition. Zbl 07563240
Balashov, Maxim V.
2
2022
Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016
Balashov, Maxim V.
1
2013
Weak concavity of the antidistance function. Zbl 1311.49034
Balashov, Maxim V.; Golubev, Maxim O.
1
2014
Intersection of a set with a hyperplane. Zbl 1342.49022
Balashov, Maxim V.
1
2016
Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020
Balashov, Maxim V.
1
2020
Optimization of the reachable set of a linear system with respect to another set. Zbl 1527.49017
Balashov, M. V.; Kamalov, R. A.
1
2023
Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301
Balashov, M. V.; Bogdanov, I. I.
1
2008
The Lipschitz property of the metric projection in the Hilbert space. Zbl 07255592
Balashov, M. V.
1
2020
Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136
Balashov, Maksim Viktorovich
1
2022
The strong convexity supporting condition and the Lipschitz condition for the metric projection. Zbl 1545.90131
Balashov, M. V.; Biglov, K. Z.
3
2024
Sufficient conditions for the linear convergence of an algorithm for finding the metric projection of a point onto a convex compact set. Zbl 1527.90154
Balashov, M. V.
4
2023
Optimization of the reachable set of a linear system with respect to another set. Zbl 1527.49017
Balashov, M. V.; Kamalov, R. A.
1
2023
Error bound conditions and convergence of optimization methods on smooth and proximally smooth manifolds. Zbl 1490.90224
Balashov, M. V.; Tremba, A. A.
5
2022
Strong convexity of reachable sets of linear systems. Zbl 1520.93034
Balashov, Maxim V.
3
2022
Approximate calculation of the Chebyshev center for a convex compact set in \(\mathbb{R}^n\). Zbl 1486.52005
Balashov, Maxim V.
2
2022
Covering a set by a convex compactum: error estimates and computation. Zbl 1505.90141
Balashov, M. V.
2
2022
Stability of minimization problems and the error bound condition. Zbl 07563240
Balashov, Maxim V.
2
2022
Embedding of a homothete in a convex compactum: an algorithm and its convergence. Zbl 1513.90136
Balashov, Maksim Viktorovich
1
2022
The gradient projection algorithm for smooth sets and functions in nonconvex case. Zbl 1473.90124
Balashov, Maxim V.
5
2021
The gradient projection method with Armijo’s step size on manifolds. Zbl 1481.65087
Balashov, M. V.; Kamalov, R. A.
3
2021
Gradient projection and conditional gradient methods for constrained nonconvex minimization. Zbl 1437.49024
Balashov, M. V.; Polyak, B. T.; Tremba, A. A.
23
2020
The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient. Zbl 1447.90036
Balashov, Maxim V.
6
2020
Gradient projection method on matrix manifolds. Zbl 1452.90248
Balashov, M. V.
5
2020
On the gradient projection method for weakly convex functions on a proximally smooth set. Zbl 1456.90155
Balashov, M. V.
4
2020
Lipschitz stability of extremal problems with a strongly convex set. Zbl 1440.46020
Balashov, Maxim V.
1
2020
The Lipschitz property of the metric projection in the Hilbert space. Zbl 07255592
Balashov, M. V.
1
2020
The Pliś metric and Lipschitz stability of minimization problems. Zbl 1423.49023
Balashov, Maksim Viktorovich
3
2019
The farthest and the nearest points of sets. Zbl 1411.41021
Balashov, Maxim V.; Ivanov, Grigorii E.
5
2018
About the gradient projection algorithm for a strongly convex function and a proximally smooth set. Zbl 1375.46056
Balashov, Maxim V.
16
2017
On polyhedral approximations in an \(n\)-dimensional space. Zbl 1356.41008
Balashov, M. V.
5
2016
Intersection of a set with a hyperplane. Zbl 1342.49022
Balashov, Maxim V.
1
2016
Maximization of a function with Lipschitz continuous gradient. Zbl 1369.90165
Balashov, M. V.
11
2015
Antidistance and antiprojection in the Hilbert space. Zbl 1334.49046
Balashov, M. V.
7
2015
Weak concavity of the antidistance function. Zbl 1311.49034
Balashov, Maxim V.; Golubev, Maxim O.
1
2014
Weak convexity of the distance function. Zbl 1276.46061
Balashov, Maxim V.
4
2013
Proximal smoothness of a set with the Lipschitz metric projection. Zbl 1315.46016
Balashov, Maxim V.
1
2013
About the Lipschitz property of the metric projection in the Hilbert space. Zbl 1253.46075
Balashov, Maxim V.; Golubev, Maxim O.
13
2012
On Pliś metric on the space of strictly convex compacta. Zbl 1251.54005
Balashov, Maxim Viktorovich; Repovs, Dusan
4
2012
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. Zbl 1220.46010
Balashov, Maxim V.; Repovš, Dušan
8
2011
Polyhedral approximations of strictly convex compacta. Zbl 1226.52001
Balashov, Maxim V.; Repovš, Dušan
4
2011
Weakly convex sets and modulus of nonconvexity. Zbl 1206.52004
Balashov, Maxim V.; Repovš, Dušan
5
2010
Weakly convex and proximally smooth sets in Banach spaces. Zbl 1179.46013
Balashov, M. V.; Ivanov, G. E.
31
2009
Uniform convexity and the splitting problem for selections. Zbl 1180.54041
Balashov, Maxim V.; Repovš, Dušan
16
2009
On the splitting problem for selections. Zbl 1169.54007
Balashov, Maxim V.; Repovš, Dušan
4
2009
Properties of \(P\) -sets and trapped compact convex sets. Zbl 1155.52301
Balashov, M. V.; Bogdanov, I. I.
1
2008
Elements of convex and strongly convex analysis. 2nd ed. (Элементы выпуклого и силпно выпуклого анализа.) Zbl 1181.26028
Polovinkin, E. S.; Balashov, M. V.
81
2007
Lipschitz continuous parametrizations of set-valued maps with weakly convex images. Zbl 1143.52003
Ivanov, G. E.; Balashov, M. V.
2
2007
On farthest points of sets. Zbl 1124.46007
Balashov, M. V.; Ivanov, G. E.
11
2006
Properties of the metric projection on weakly Vial-convex sets and parametrization of set-valued mappings with weakly convex images. Zbl 1117.52001
Balashov, M. V.; Ivanov, G. E.
8
2006
On the \(P\)-property of convex compact sets. Zbl 1052.52004
Balashov, M. V.
5
2002
An analogue of the Kreĭn-Milman theorem for a strongly convex hull in a Hilbert space. Zbl 1028.46026
Balashov, M. V.
3
2002
An algorithm for the numerical solution of linear differential games. Zbl 1128.91305
Polovinkin, E. S.; Ivanov, G. E.; Balashov, M. V.; Konstantinov, R. V.; Khorev, A. V.
16
2001
On the geometric difference of multivalued mappings. Zbl 1037.47034
Balashov, M. V.
2
2001
\(M\)-strongly convex subsets and their generating sets. Zbl 1004.46014
Balashov, M. V.; Polovinkin, E. S.
42
2000
all top 5

Cited by 182 Authors

40 Balashov, Maxim Viktorovich
12 Ivanov, Grigorii E.
11 Dudov, Sergeĭ Ivanovich
9 Alimov, Alexey R.
9 Polovinkin, Evgenii Sergeevich
8 Osiptsev, Mikhaĭl Anatol’evich
7 Thibault, Lionel
7 Ushakov, Vladimir Nikolaevich
6 Ershov, Aleksandr Anatol’evich
5 Lopushanski, Mariana S.
5 Patsko, Valerii S.
5 Repovš, Dušan D.
5 Tsar’kov, Igor’ Germanovich
4 Kumkov, Sergey S.
4 Kurzhanskiĭ, Aleksandr Borisovich
4 Nacry, Florent
4 Orlov, Igor Vladimirovich
4 Tremba, Andrey Aleksandrovich
3 Biglov, Kamil Z.
3 Ibragimov, Danis N.
3 Lukoyanov, Nikolaĭ Yur’evich
3 Plotnikov, Andreĭ Viktorovich
3 Sirotin, A. N.
2 Abramova, Veronika Valer’evna
2 Adly, Samir
2 Bui, Vuong
2 Daryin, Alexander N.
2 De Bernardi, Carlo Alberto
2 Dolgopolik, Maxim Vladimirovich
2 Flerov, A. A.
2 Galkin, Oleg Evgen’evich
2 Galkina, Svetlana Yur’evna
2 Gomoyunov, Mikhail Igorevich
2 Ivanov, Grigory M.
2 Kamalov, Rinat A.
2 Karasev, Roman N.
2 Khachatryan, Rafik Agasievich
2 Komleva, Tatyana A.
2 Konstantinov, Matey
2 Kornev, Dmitriĭ Vasil’evich
2 Martini, Horst
2 Matviĭchuk, Aleksandr Rostislavovich
2 Meshcheryakova, E. A.
2 Nikol’skiĭ, Mikhaĭl Sergeevich
2 Polyak, Boris Teodorovich
2 Rinaldi, Francesco
2 Sakbaev, Vsevolod Zhanovich
2 Semenov, Pavel Vladimirovič
2 Shirokov, Maksim Evgen’evich
2 Skripnik, Natalia Viktorovna
2 Taras’ev, Aleksandr Mikhaĭlovich
2 Ushakov, Andreĭ Vladimirovich
2 Veselý, Libor
2 Vuong, Phan Tu
2 Zeffiro, Damiano
2 Zlateva, Nadia P.
1 Ansary Karbasy, Saeid
1 Anwary, Mohammad Kazem
1 Arkhipov, P. A.
1 Arutyunov, Aram Vladimirovic
1 Avkhadiev, Farit Gabidinovich
1 Babenko, Viktor V.
1 Babenko, Vladyslav Fedorovych
1 Baran, I. V.
1 Basit, Bushra
1 Bednov, Borislav Borisovich
1 Bogdanov, Ilya I.
1 Bomze, Immanuel M.
1 Cabot, A.
1 Castaing, Charles
1 Chang, Huibin
1 Chen, Xuesong
1 Chorianopoulos, Christos
1 Davis, Damek Shea
1 Drusvyatskiy, Dmitriy
1 Druzhinin, Yu. Yu.
1 Efremov, Roman V.
1 Fatkhullin, I. F.
1 Ferreira, Orizon Pereira
1 Ganebny, Sergei A.
1 Gao, Yingchao
1 Gerstner, Philipp
1 Golubev, Maxim O.
1 Gorokhovik, Valentin Vikent’evich
1 Graf, Sergey Yu.
1 Grzybowski, Jerzy
1 Gudovich, Anastasia Nikolaevna
1 He, Chan
1 Heuveline, Vincent
1 Holmsen, Andreas F.
1 Iranmanesh, Mahdi
1 Ivanov, Illya
1 Ivan’shin, Pëtr Nikolaevich
1 Izmest’ev, Igor’ Vyacheslavovich
1 Jahn, Thomas
1 Jourani, Abderrahim
1 Kamenskiĭ, Mikhaĭl Igor’evich
1 Khabibullin, Bulat Nurmievich
1 Khademzadeh, Hamid Reza
1 Khalilova, Zarema I.
...and 82 more Authors
all top 5

Cited in 73 Serials

19 Mathematical Notes
17 Journal of Mathematical Sciences (New York)
15 Journal of Convex Analysis
13 Computational Mathematics and Mathematical Physics
13 Proceedings of the Steklov Institute of Mathematics
8 Journal of Mathematical Analysis and Applications
8 Sbornik: Mathematics
5 Automation and Remote Control
5 Russian Mathematics
5 Differential Equations
5 Set-Valued and Variational Analysis
3 Ukrainian Mathematical Journal
3 Topology and its Applications
3 Discrete & Computational Geometry
3 Journal of Global Optimization
3 SIAM Journal on Optimization
3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
3 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
2 Russian Mathematical Surveys
2 Applied Mathematics and Optimization
2 Proceedings of the American Mathematical Society
2 Optimization
2 Computational Mathematics and Modeling
2 Mathematical Programming. Series A. Series B
2 Cybernetics and Systems Analysis
2 Topological Methods in Nonlinear Analysis
2 Doklady Mathematics
2 Asian-European Journal of Mathematics
2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Vestnik Rossiĭskikh Universitetov. Matematika
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Prikladnaya Matematika i Mekhanika
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 Archiv der Mathematik
1 Journal of Approximation Theory
1 Journal of Geometry
1 Journal of Optimization Theory and Applications
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Pacific Journal of Mathematics
1 Siberian Mathematical Journal
1 Transactions of the Moscow Mathematical Society
1 Moscow University Computational Mathematics and Cybernetics
1 Journal of Scientific Computing
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Vestnik St. Petersburg University. Mathematics
1 Computational Optimization and Applications
1 Journal of Computer and Systems Sciences International
1 Russian Journal of Mathematical Physics
1 Journal of Applied Analysis
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 International Game Theory Review
1 Doklady Natsional’noĭ Akademii Nauk Belarusi
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Fixed Point Theory and Applications
1 Optimization Letters
1 European Journal of Pure and Applied Mathematics
1 International Electronic Journal of Geometry
1 Banach Journal of Mathematical Analysis
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Dynamic Games and Applications
1 Problemy Analiza. Issues of Analysis
all top 5

Cited in 37 Fields

60 Calculus of variations and optimal control; optimization (49-XX)
52 Convex and discrete geometry (52-XX)
48 Functional analysis (46-XX)
45 Operations research, mathematical programming (90-XX)
32 Approximations and expansions (41-XX)
21 Systems theory; control (93-XX)
18 Operator theory (47-XX)
16 Numerical analysis (65-XX)
15 Real functions (26-XX)
14 Ordinary differential equations (34-XX)
13 General topology (54-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Probability theory and stochastic processes (60-XX)
3 Functions of a complex variable (30-XX)
3 Partial differential equations (35-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Computer science (68-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Citations by Year