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Zabotin, Igor Yarovlavich

Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 28

Number of views:
This page:619
Abstract pages:3791
Full texts:1398
References:400
Professor
Doctor of physico-mathematical sciences (2010)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
E-mail: ,
Website: http://www.ksu.ru/persons/9117.ru.html

http://www.mathnet.ru/eng/person34066
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197037

Publications in Math-Net.Ru
2019
1. I. Ya. Zabotin, K. E. Kazaeva, “A version of the penalty method with approximation of the epigraphs of auxiliary functions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:2 (2019),  263–273  mathnet  elib
2016
2. I. Ya. Zabotin, O. N. Shul'gina, R. S. Yarullin, “Minimization method with approximation of constraint zone and epigraph of objective function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 11,  91–96  mathnet; Russian Math. (Iz. VUZ), 60:11 (2016), 78–81  isi  scopus
2015
3. I. Ya. Zabotin, R. S. Yarullin, “Cutting-plane method based on epigraph approximation with discarding the cutting planes”, Avtomat. i Telemekh., 2015, 11,  76–88  mathnet  elib; Autom. Remote Control, 76:11 (2015), 1966–1975  isi  elib  scopus
2014
4. I. Ya. Zabotin, R. S. Yarullin, “A cutting method with updating approximating sets and its combination with other algorithms”, The Bulletin of Irkutsk State University. Series Mathematics, 10 (2014),  13–26  mathnet
5. I. Ya. Zabotin, O. N. Shulgina, R. S. Yarullin, “A cutting method and construction of mixed minimization algorithms on its basis”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156:4 (2014),  14–24  mathnet
2013
6. I. Ya. Zabotin, R. S. Yarullin, “One approach to constructing cutting algorithms with dropping of cutting planes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 3,  74–79  mathnet; Russian Math. (Iz. VUZ), 57:3 (2013), 60–64  scopus
7. I. Ya. Zabotin, R. S. Yarullin, “A cutting plane algorithm with an approximation of an epigraph”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:4 (2013),  48–54  mathnet
8. I. Ya. Zabotin, R. S. Yarullin, “A Cutting-Plane Method with Updating of Approximating Sets and Estimates of the Solution Accuracy”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013),  54–64  mathnet
2011
9. I. Ya. Zabotin, “On the several algorithms of immersion-severances for the problem of mathematical programming”, The Bulletin of Irkutsk State University. Series Mathematics, 4:2 (2011),  91–101  mathnet
2003
10. I. Ya. Zabotin, “Relaxation algorithms for the conditional minimization of nonsmooth strictly pseudoconvex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 12,  62–70  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:12 (2003), 59–66
2000
11. I. Ya. Zabotin, “On the stability of algorithms for the unconditional minimization of pseudoconvex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 12,  33–48  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 44:12 (2000), 31–46
1998
12. I. Ya. Zabotin, “On an approach to the construction of algorithms for the unconditional minimization of pseudoconvex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, 12,  29–39  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:12 (1998), 27–37
1997
13. I. Ya. Zabotin, “Second-order algorithm with parametrized directions for conditional optimization problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 12,  62–72  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:12 (1997), 60–70
1996
14. I. Ya. Zabotin, “A conditional minimization method with parametric specification of suitable directions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 12,  17–29  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:12 (1996), 14–26
1995
15. I. Ya. Zabotin, E. A. Knyazev, “A variant of the parametrized method of centers”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 12,  26–32  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:12 (1995), 23–29
1993
16. I. Ya. Zabotin, “Algorithms with a combination of active gradients for finding a conditional minimax”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 12,  52–58  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:12 (1993), 52–58
1992
17. I. Ya. Zabotin, “On some descent methods with respect to groups of variables”, Issled. Prikl. Mat., 19 (1992),  24–33  mathnet  mathscinet  zmath; J. Math. Sci., 74:5 (1995), 1219–1224
18. I. Ya. Zabotin, “Methods of descent over groups of variables for a class of constrained minimization problems”, Issled. Prikl. Mat., 18 (1992),  48–59  mathnet  mathscinet  zmath; J. Math. Sci., 73:5 (1995), 550–556
1991
19. I. Ya. Zabotin, A. V. Kobchikov, “On the Realization of Some Methods Applied to Design Optimization Problems”, Avtomat. i Telemekh., 1991, 1,  169–172  mathnet
1989
20. I. Ya. Zabotin, “Minimization of a maximum function of a special kind”, Issled. Prikl. Mat., 16 (1989),  101–108  mathnet  mathscinet  zmath; J. Soviet Math., 61:6 (1992), 2459–2462
1988
21. I. Ya. Zabotin, “Subgradient method to find the saddle point of a convex-concave function”, Issled. Prikl. Mat., 15 (1988),  6–12  mathnet  mathscinet  zmath; J. Soviet Math., 61:5 (1992), 2321–2325
1987
22. I. Ya. Zabotin, M. I. Kreinin, “Subgradient relaxation method for minimization of strictly convex functions”, Issled. Prikl. Mat., 14 (1987),  34–42  mathnet  mathscinet  zmath; J. Soviet Math., 50:5 (1990), 1815–1819
1984
23. I. Ya. Zabotin, E. V. Lyamin, “A variant of the constrained gradient method”, Issled. Prikl. Mat., 11:1 (1984),  11–23  mathnet  mathscinet  zmath; J. Soviet Math., 41:4 (1988), 1076–1082
24. I. Ya. Zabotin, “A gradient projection method on an embedding of the feasible set”, Issled. Prikl. Mat., 11:1 (1984),  3–11  mathnet  mathscinet  zmath; J. Soviet Math., 41:4 (1988), 1071–1075
1983
25. I. Ya. Zabotin, A. I. Korablev, “The method of the conditional $\varepsilon$-subgradient”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 9,  22–26  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:9 (1983), 23–29
1982
26. I. Ya. Zabotin, “Methods for the conditional minimization of functions with best paths of descent relative to the set”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, 7,  11–16  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:7 (1982), 12–19
1981
27. I. Ya. Zabotin, “Choosing descent directions in unconstrained minimization problems”, Issled. Prikl. Mat., 9 (1981),  37–42  mathnet  mathscinet  zmath; J. Soviet Math., 46:6 (1989), 2187–2191
1979
28. I. Ya. Zabotin, “Methods of unconditional minimization of functions using a simplex”, Issled. Prikl. Mat., 7 (1979),  55–64  mathnet  mathscinet  zmath; J. Soviet Math., 43:3 (1988), 2454–2460

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