Balashov Maxim Viktorovich

Publications in Math-Net.Ru

1. On some problems with multivalued mappings
   
   Avtomat. i Telemekh., 2024, no. 5,  58–85
2. The Strong Convexity Supporting Condition and the Lipschitz Condition for the Metric Projection
   
   Mat. Zametki, 115:2 (2024),  197–207
3. Lipschitz continuity of the metric projection operator and convergence of gradient methods
   
   Mat. Sb., 215:4 (2024),  62–80
4. The gradient projection method for a supporting function on the unit sphere and its applications
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:4 (2024),  676–692
5. The Lezanski – Polyak – Lojasiewicz inequality and the convergence of the gradient projection algorithm
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:1 (2023),  4–10
6. Sufficient Conditions for the Linear Convergence of an Algorithm for Finding the Metric Projection of a Point onto a Convex Compact Set
   
   Mat. Zametki, 113:5 (2023),  655–666
7. Optimization of the reachable set of a linear system with respect to another set
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:5 (2023),  739–759
8. Covering a Set by a Convex Compactum: Error Estimates and Computation
   
   Mat. Zametki, 112:3 (2022),  337–349
9. Strong convexity of reachable sets of linear systems
   
   Mat. Sb., 213:5 (2022),  30–49
10. Embedding of a homothete in a convex compactum: an algorithm and its convergence
    
    Russian Universities Reports. Mathematics, 27:138 (2022),  143–149
11. Growth Conditions on a Function and the Error Bound Condition
    
    Mat. Zametki, 109:4 (2021),  625–630
12. The gradient projection method with Аrmijo's step size on manifolds
    
    Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021),  1814–1824
13. On the Gradient Projection Method for Weakly Convex Functions on a Proximally Smooth Set
    
    Mat. Zametki, 108:5 (2020),  657–668
14. The gradient projection algorithm for a proximally smooth set and a function with Lipschitz continuous gradient
    
    Mat. Sb., 211:4 (2020),  3–26
15. Gradient projection method on matrix manifolds
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1453–1461
16. The Pliś metric and Lipschitz stability of minimization problems
    
    Mat. Sb., 210:7 (2019),  3–20
17. The Lipschitz property of the metric projection in the Hilbert space
    
    Fundam. Prikl. Mat., 22:1 (2018),  13–29
18. Inscribed balls and their centers
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017),  1946–1954
19. On polyhedral approximations in an $n$-dimensional space
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1695–1701
20. Maximization of a function with Lipschitz continuous gradient
    
    Fundam. Prikl. Mat., 18:5 (2013),  17–25
21. Weakly convex and proximally smooth sets in Banach spaces
    
    Izv. RAN. Ser. Mat., 73:3 (2009),  23–66
22. Properties of $P$-sets and Trapped Compact Convex Sets
    
    Mat. Zametki, 84:4 (2008),  496–505
23. Lipschitz continuous parametrizations of set-valued maps with weakly convex images
    
    Izv. RAN. Ser. Mat., 71:6 (2007),  47–68
24. 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
25. On Farthest Points of Sets
    
    Mat. Zametki, 80:2 (2006),  163–170
26. On the $P$-Property of Compact Convex Sets
    
    Mat. Zametki, 71:3 (2002),  323–333
27. An Analog of the Krein–Mil'man Theorem for Strongly Convex Hulls in Hilbert Space
    
    Mat. Zametki, 71:1 (2002),  37–42
28. Geometric Difference of Multivalued Maps
    
    Mat. Zametki, 70:2 (2001),  163–169
29. An algorithm for the numerical solution of linear differential games
    
    Mat. Sb., 192:10 (2001),  95–122
30. $M$-strongly convex subsets and their generating sets
    
    Mat. Sb., 191:1 (2000),  27–64


31. Evgenii Sergeevich Polovinkin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 71:5(431) (2016),  187–190
32. Студенческие математические олимпиады МФТИ
    
    Mat. Pros., Ser. 3, 14 (2010),  214–224