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Popov, Leonid Denisovich
Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 34
Presentations: 3

Number of views:
This page:975
Abstract pages:9695
Full texts:4164
References:1263
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person33565
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195038

Publications in Math-Net.Ru Citations
2023
1. L. D. Popov, “Barriers and symmetric regularization of the Lagrange function in the analysis of improper linear programming problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:3 (2023),  138–155  mathnet  mathscinet  elib
2022
2. L. D. Popov, “On parameter control in iterative linear programming methods based on a new class of smooth exterior penalty functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  191–200  mathnet  elib 1
2021
3. L. D. Popov, “On one method of increasing the smoothness of external penalty functions in linear and convex programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  88–101  mathnet  elib 1
2020
4. L. D. Popov, “On iterative methods of finding the equilibrium in the Arrow-Debreu classical model of pure exchange with multiplicative utility functions of the participants”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:3 (2020),  154–170  mathnet  elib
2019
5. L. D. Popov, “On a regularization method for improper linear programs”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  196–206  mathnet  elib
2018
6. L. D. Popov, “Interior Point Methods Adapted to Improper Linear Programs”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  208–216  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S116–S124  isi
2017
7. L. D. Popov, V. D. Skarin, “Regularization methods and issues of lexicographic correction for convex programming problems with inconsistent constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  214–223  mathnet  elib
2016
8. L. D. Popov, V. D. Skarin, “Duality and correction of inconsistent constraints for improper linear programming problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016),  200–211  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 165–176  isi  scopus 2
2015
9. L. D. Popov, V. D. Skarin, “Lexicographic regularization and duality for improper linear programming problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:3 (2015),  279–291  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 131–144  isi 3
2014
10. L. D. Popov, “Experience in organizing hybrid parallel calculations in the Evtushenko–Golikov method for problems with block-angular structure”, Avtomat. i Telemekh., 2014, no. 4,  38–50  mathnet; Autom. Remote Control, 75:4 (2014), 622–631  isi  scopus 2
11. L. D. Popov, “Dual approach to the application of barrier functions for the optimal correction of improper linear programming problems of the first kind”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  231–237  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 173–179  isi  scopus 2
2013
12. L. D. Popov, “On the adaptation of the least squares method to improper problems of mathematical programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013),  247–255  mathnet  mathscinet  elib 1
2012
13. L. D. Popov, “Use of barrier functions for optimal correction of improper problems of linear programming of the 1st kind”, Avtomat. i Telemekh., 2012, no. 3,  3–11  mathnet; Autom. Remote Control, 73:3 (2012), 417–424  isi  scopus 14
14. L. D. Popov, “Iterative methods for equilibrium search in the partial Arrow–Debreu–Stone exchange model”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:3 (2012),  201–207  mathnet  elib 1
15. I. I. Eremin, L. D. Popov, “Interior penalty functions and duality in linear programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:3 (2012),  83–89  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 56–63  isi  scopus 5
2011
16. L. D. Popov, “Search of generalized solutions to improper linear and convex programming problems using barrier functions”, Bulletin of Irkutsk State University. Series Mathematics, 4:2 (2011),  134–146  mathnet 1
2010
17. L. D. Popov, “Combined penalties and generalized solutions for improper problems of linear and convex programming of the first kind”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:3 (2010),  217–226  mathnet  elib 3
2009
18. I. I. Eremin, L. D. Popov, “Fejér processes in theory and practice: recent results”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 1,  44–65  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:1 (2009), 36–55 14
19. L. D. Popov, “Schemes of involving dual variables in inverse barrier functions for problems of linear and convex programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  195–207  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S205–S217  isi 1
2008
20. I. I. Eremin, L. D. Popov, “Closed Fejér cycles for incompatible systems of convex inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 1,  11–19  mathnet  mathscinet  elib; Russian Math. (Iz. VUZ), 52:1 (2008), 8–16 5
21. L. D. Popov, “One modification of the logarithmic barrier function method in linear and convex programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:2 (2008),  103–114  mathnet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 263, suppl. 2 (2008), S108–S119  isi  scopus 2
2007
22. L. D. Popov, “Experience of multilevel parallelizing of the branch and bound method in discrete optimization problems”, Avtomat. i Telemekh., 2007, no. 5,  171–181  mathnet  mathscinet  zmath; Autom. Remote Control, 68:5 (2007), 901–911  scopus 4
23. L. D. Popov, “Quadratic approximation of penalty functions for solving large-scale linear programs”, Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007),  206–221  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:2 (2007), 200–214  scopus 6
2004
24. E. A. Berdnikova, I. I. Eremin, L. D. Popov, “Distributed fejer processes for systems of linear inequalities and problems of linear programming”, Avtomat. i Telemekh., 2004, no. 2,  16–32  mathnet  mathscinet  zmath; Autom. Remote Control, 65:2 (2004), 168–183  isi  scopus 12
25. L. D. Popov, “On schemes for the formation of a master sequence in a regularized extragradient method for solving variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 1,  70–79  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 48:1 (2004), 67–76 3
2002
26. L. D. Popov, “Lexicographic variational inequalities and some applications”, Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002),  103–115  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2002no. , suppl. 1, S102–S115 2
1998
27. L. D. Popov, “On a one-stage method for solving lexicographic variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 12,  71–81  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 42:12 (1998), 67–76 8
28. L. D. Popov, “About accuracy of the solution of internal subproblems in the Hestenes–Powell method”, Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  381–386  mathnet  zmath
1996
29. L. D. Popov, “Two new schemes of application of the projection method to the problem of finding approximative roots of monotone operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  337–344  mathnet  mathscinet  zmath  elib
1995
30. L. D. Popov, “On the application of the projection method for finding approximate roots of monotone mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 12,  74–80  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:12 (1995), 71–77 1
31. L. D. Popov, “Application of the modified prox-method to the optimal linear correction of improper convex programming problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 3 (1995),  261–266  mathnet  mathscinet  zmath  elib 6
1993
32. L. D. Popov, “Approximate roots of unsolvable equations with monotone mappings in the left-hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 12,  70–80  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:12 (1993), 70–80 1
1986
33. L. D. Popov, “Linear correction of ill-posed convex-concave minimax problems on a maximin criterion”, Zh. Vychisl. Mat. Mat. Fiz., 26:9 (1986),  1325–1338  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 26:5 (1986), 30–39 3
1980
34. L. D. Popov, “A modification of the Arrow–Hurwicz method for search of saddle points”, Mat. Zametki, 28:5 (1980),  777–784  mathnet  mathscinet  zmath; Math. Notes, 28:5 (1980), 845–848  isi 95

Presentations in Math-Net.Ru
1. К итерационным методам поиска равновесия в классической модели чистого обмена Эрроу-Дебре с мультипликативными функциями полезности его участников
L. D. Popov
Seminar for Optimization Laboratory
December 18, 2020 11:00
2. Об альтернативных оценках точности для одного метода решения задач линейного программирования, использующего функцию Лагранжа, симметрично регуляризированную по прямым и двойственным переменным
L. D. Popov
Seminar for Optimization Laboratory
December 21, 2018 11:00
3. Лексикографическая регуляризация и двойственность для несобственных задач линейного программирования
L. D. Popov
Seminar for Optimization Laboratory
February 26, 2016 11:00

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