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Konnov, Igor Vasilyevich

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Total publications: 70
Scientific articles: 70

Number of views:
This page:2075
Abstract pages:15498
Full texts:4989
References:1790
Professor
Doctor of physico-mathematical sciences
Speciality: 01.01.07 (Computing mathematics)
E-mail: , ,
Keywords: Nonsmooth optimization, equilibrium problems, variational inequalities, iterative methods.

Subject:

(a) Theory and solution methods for nonsmooth optimization, equilibrium problems and variational inequalities, (b) Vector equilibrium and variational inequality problems, (c) Generalized convex functions and generalized monotone mappings, (d) Applications of equilibrium problems and variational inequalities.


http://www.mathnet.ru/eng/person31832
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/228672
https://www.scopus.com/authid/detail.url?authorId=37053168500

Publications in Math-Net.Ru
2020
1. I. V. Konnov, E. Laitinen, O. V. Pinyagina, “Inexact partial linearization methods for network equilibrium problems”, Diskretn. Anal. Issled. Oper., 27:1 (2020),  43–60  mathnet; J. Appl. Industr. Math., 14:1 (2020), 92–103  scopus
2019
2. I. V. Konnov, “Penalty method with descent for problems of convex optiization”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 7,  48–64  mathnet
3. I. V. Konnov, “Game of constraints for evaluation of guaranteed composite system performance”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 4,  89–94  mathnet
4. I. V. Konnov, O. A. Kashina, E. I. Gilmanova, “Solution of clusterization problem by graph optimization methods”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:3 (2019),  423–437  mathnet
2018
5. I. V. Konnov, “Conditioned gradient method without line-search”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 1,  93–96  mathnet; Russian Math. (Iz. VUZ), 62:1 (2018), 82–85  isi  scopus
2017
6. I. V. Konnov, Salahuddin, “Two-level iterative method for non-stationary mixed variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 10,  50–61  mathnet; Russian Math. (Iz. VUZ), 61:10 (2017), 44–53  isi  scopus
2016
7. I. V. Konnov, “A method of bi-coordinate variations with tolerances and its convergence”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 1,  80–85  mathnet; Russian Math. (Iz. VUZ), 60:1 (2016), 68–72  isi  scopus
2014
8. I. V. Konnov, “Application of penalty method to nonstationary approximation of optimization problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, 8,  60–68  mathnet; Russian Math. (Iz. VUZ), 58:8 (2014), 49–55  scopus
2013
9. I. V. Konnov, “A Migration Equilibrium Model with Inverse Utility Functions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013),  91–99  mathnet
2012
10. I. V. Konnov, “On scalarization of vector optimization type problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 9,  8–18  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:9 (2012), 5–13  scopus
2011
11. I. V. Konnov, I. A. Pastukhov, “A method for solving a general multi-valued complementarity problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 2,  46–53  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:2 (2011), 39–45  scopus
12. I. V. Konnov, O. V. Pinyagina, “Solution method for monotone mixed variational inequalities”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153:1 (2011),  221–230  mathnet
2010
13. D. A. Dyabilkin, I. V. Konnov, “A partial regularization method for a generalized primal-dual system of inequalities”, Num. Meth. Prog., 11:4 (2010),  318–325  mathnet
2009
14. I. V. Konnov, “Descent method with inexact linesearch procedure for mixed variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, 8,  37–44  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:8 (2009), 29–35
15. I. V. Konnov, “A nonlinear descent method for a variational inequality on a nonconvex set”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, 1,  66–75  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:1 (2009), 56–63
16. I. V. Konnov, “Coordinate relaxation methods for multivalued complementarity problems”, Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  1021–1036  mathnet  zmath; Comput. Math. Math. Phys., 49:6 (2009), 979–993  isi  scopus
2008
17. I. V. Konnov, “Spatial equilibrium problems for auction-type systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, 1,  33–47  mathnet  mathscinet; Russian Math. (Iz. VUZ), 52:1 (2008), 30–44
18. I. V. Konnov, O. V. Pinyagina, “A descent method with inexact linear search for nonsmooth equilibrium problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008),  1812–1818  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:10 (2008), 1777–1783  isi  scopus
19. D. A. Dyabilkin, I. V. Konnov, “Partial regularization method for nonmonotone variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  355–364  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:3 (2008), 337–345  isi  scopus
2007
20. I. V. Konnov, “Применение вариационных неравенств для моделирования распределенных систем аукционных рынков”, Issled. Inform., 12 (2007),  47–57  mathnet
2006
21. I. V. Konnov, “О моделировании рынка аукционного типа”, Issled. Inform., 10 (2006),  73–76  mathnet
22. I. V. Konnov, “Descent method for nonsmooth variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006),  1251–1257  mathnet  mathscinet; Comput. Math. Math. Phys., 46:7 (2006), 1186–1192  scopus
23. I. V. Konnov, “On the convergence of a regularization method for variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  568–575  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 46:4 (2006), 541–547  scopus
2005
24. I. V. Konnov, E. O. Mazurkevich, “A regularization method for mixed variational inequalities”, Issled. Inform., 9 (2005),  55–70  mathnet  mathscinet
25. I. V. Konnov, “A dual-type approximate method for systems of variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 12,  35–45  mathnet  mathscinet; Russian Math. (Iz. VUZ), 49:12 (2005), 33–42
26. I. V. Konnov, “An extension of the Jacobi algorithm for the complementarity problem in the presence of multivalence”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005),  1167–1173  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:7 (2005), 1127–1132
2004
27. I. V. Konnov, T. A. Kostenko, “A multivalued mixed complementarity problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 12,  28–36  mathnet  mathscinet; Russian Math. (Iz. VUZ), 48:12 (2004), 26–33
28. I. V. Konnov, “The proximal method for solving nonmonotonic variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 44:6 (2004),  1030–1038  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:6 (2004), 976–984
2003
29. I. V. Konnov, T. A. Selezneva, “Variational inequalities with two-sided constraints”, Issled. Inform., 6 (2003),  71–80  mathnet  mathscinet  zmath
30. I. V. Konnov, E. O. Mazurkevich, “An equilibrium model with a demand function of Cobb–Douglas type”, Issled. Inform., 6 (2003),  57–70  mathnet  mathscinet  zmath
31. I. V. Konnov, E. O. Mazurkevich, “An equilibrium model under oligopoly conditions with several technologies”, Issled. Inform., 5 (2003),  57–70  mathnet  mathscinet  zmath
32. I. V. Konnov, O. V. Pinyagina, “The method of descent over an interval function for nonsmooth equilibrium problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 12,  71–77  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:11 (2003), 67–73
33. I. V. Konnov, O. V. Pinyagina, “$D$-gap functions and descent methods for a class of monotone equilibrium problems”, Lobachevskii J. Math., 13 (2003),  57–65  mathnet  mathscinet  zmath
34. I. V. Konnov, “A system of primal-dual variational inequalities and monotony conditions”, Zh. Vychisl. Mat. Mat. Fiz., 43:10 (2003),  1459–1466  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:10 (2003), 1394–1401
35. I. V. Konnov, “The splitting method with linear search for primal-dual variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 43:4 (2003),  518–532  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:4 (2003), 494–507
2002
36. I. V. Konnov, “Equilibrium-type models in economics: from equations to variational inequalities”, Issled. Inform., 4 (2002),  67–76  mathnet  mathscinet  zmath
37. I. V. Konnov, “The dual approach to one class of mixed variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 42:9 (2002),  1324–1337  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:9 (2002), 1276–1288
2001
38. I. V. Konnov, “Generalized variational inequalities on the product of sets”, Issled. Inform., 3 (2001),  111–120  mathnet  mathscinet  zmath
39. I. V. Konnov, “A combined relaxation method for generalized variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, 12,  46–54  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:12 (2001), 43–51
40. I. V. Konnov, “The Lagrange multiplier technique for variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1344–1357  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:9 (2001), 1279–1291
2000
41. I. V. Konnov, “On an approach to the solution of flow equilibrium problems”, Issled. Inform., 2 (2000),  125–132  mathnet  mathscinet  zmath
42. I. V. Konnov, “Approximate methods for direct-dual variational inequalities of mixed type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, 12,  55–66  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:11 (2000), 53–64
43. I. V. Konnov, “Properties of gap functions for mixed variational inequalities”, Sib. Zh. Vychisl. Mat., 3:3 (2000),  259–270  mathnet  zmath
44. I. V. Konnov, “Complexity bounds for a combined relaxation method”, Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000),  72–81  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:1 (2000), 70–78
1999
45. I. V. Konnov, “Combined relaxation methods for concave-convex equilibrium problems”, Issled. Inform., 1 (1999),  85–94  mathnet  mathscinet
46. I. V. Konnov, “On a class of $D$-interval functions for mixed variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 12,  60–64  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:12 (1999), 56–60
47. I. V. Konnov, “Realizable feasible quasi-nonexpansive operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 5,  32–36  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 43:5 (1999), 30–34
48. I. V. Konnov, “Combined relaxation methods for variational inequality problems over product sets”, Lobachevskii J. Math., 2 (1999),  3–9  mathnet  mathscinet  zmath
49. I. V. Konnov, “A combined method for variational inequalities with monotone operators”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999),  1091–1097  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:7 (1999), 1051–1056
1998
50. I. V. Konnov, “An inexact combined relaxation method for multivalued inclusions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, 12,  58–62  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:12 (1998), 55–59
51. I. V. Konnov, “Accelerating the convergence rate of a combined relaxational method”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  53–60  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:1 (1998), 49–56
1997
52. I. V. Konnov, “On systems of variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 12,  79–88  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:12 (1997), 77–86
1996
53. I. V. Konnov, “Применение метода типа линеаризации при решении негладких равновесных задач”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 12,  54–62  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:12 (1996), 51–59
54. I. V. Konnov, “A general approach to the determination of stationary points and the solution of related problems”, Zh. Vychisl. Mat. Mat. Fiz., 36:5 (1996),  40–50  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:5 (1996), 585–593  isi
1995
55. I. V. Konnov, “A combined relaxation method for the search for vector equilibrium”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 12,  54–62  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:12 (1995), 51–59
56. I. V. Konnov, “Combined relaxation with decomposition for finding equilibrium points”, Zh. Vychisl. Mat. Mat. Fiz., 35:3 (1995),  352–359  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:3 (1995), 281–286  isi
1994
57. I. V. Konnov, “Application of the combined relaxation method to find equilibrium points of quasi-concave-convex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, 12,  70–75  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:12 (1994), 66–71
1993
58. I. V. Konnov, “On the rate of convergence of combined relaxation methods”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 12,  89–92  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:12 (1993), 89–92
59. I. V. Konnov, “Combined relaxation methods for the search for equilibrium points and solutions of related problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 2,  46–53  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:2 (1993), 44–51
60. I. V. Konnov, “A two-level subgradient method for finding saddle points of convex-concave functions”, Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  495–502  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:4 (1993), 453–459  isi
1992
61. I. V. Konnov, “Combined subgradient methods for the search for saddle points”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, 10,  30–33  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 36:10 (1992), 28–31
62. I. V. Konnov, “Estimates of the labor cost of combined relaxation methods”, Issled. Prikl. Mat., 19 (1992),  34–51  mathnet  mathscinet  zmath; J. Math. Sci., 74:5 (1995), 1225–1235
1990
63. I. V. Konnov, “Convergence of relaxation methods for nondifferentiable constrained optimization”, Issled. Prikl. Mat., 17 (1990),  57–71  mathnet  mathscinet; J. Math. Sci., 71:6 (1994), 2764–2771
64. I. V. Konnov, “On properties of supporting and quasi-supporting vectors”, Issled. Prikl. Mat., 17 (1990),  50–57  mathnet  mathscinet; J. Math. Sci., 71:6 (1994), 2760–2763
1988
65. I. V. Konnov, “Application of the successive relaxation method to solve extremal problems with semismooth functions”, Issled. Prikl. Mat., 15 (1988),  24–30  mathnet  mathscinet  zmath; J. Soviet Math., 61:5 (1992), 2331–2334
1984
66. I. V. Konnov, “A method of conjugate subgradients for minimization of functionals”, Issled. Prikl. Mat., 12 (1984),  59–62  mathnet  mathscinet  zmath; J. Soviet Math., 45:2 (1989), 1026–1029
67. I. V. Konnov, “Application of the method of conjugate subgradients to minimization of quasiconvex functionals”, Issled. Prikl. Mat., 12 (1984),  46–58  mathnet  mathscinet  zmath; J. Soviet Math., 45:2 (1989), 1019–1026
68. I. V. Konnov, “Successive relaxation method for minimization of functionals and some efficiency estimates”, Issled. Prikl. Mat., 11:1 (1984),  41–52  mathnet  zmath; J. Soviet Math., 41:4 (1988), 1093–1098
69. I. V. Konnov, R. F. Khabibullin, “An algorithm to find an element of the conjugate cone”, Issled. Prikl. Mat., 11:1 (1984),  32–40  mathnet  mathscinet  zmath; J. Soviet Math., 41:4 (1988), 1088–1092
70. I. V. Konnov, “Constrained gradient method for nonsmooth optimization problems”, Issled. Prikl. Mat., 10 (1984),  95–101  mathnet  mathscinet  zmath; J. Soviet Math., 44:5 (1989), 630–635

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