Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Tret'yakov, Alexey Anatol'evich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 45
Presentations: 1

Number of views:
This page:1391
Abstract pages:11164
Full texts:4012
References:1615
Professor
Doctor of physico-mathematical sciences (1987)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Website: http://www.ccas.ru/depart/sever/staff/tretyakov/index.php

https://www.mathnet.ru/eng/person22343
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/200754
https://elibrary.ru/author_items.asp?authorid=58
https://www.scopus.com/authid/detail.url?authorId=57211633137
https://www.researchgate.net/profile/Alexey-Tretyakov

Publications in Math-Net.Ru Citations
2024
1. Yu. G. Evtushenko, A. A. Tret'yakov, “$P$-factor interpolation of solutions of an equation with a degenerate function”, Dokl. RAN. Math. Inf. Proc. Upr., 520:1 (2024),  5–10  mathnet  elib; Dokl. Math., 110:3 (2024), 451–456
2. Yu. G. Evtushenko, A. A. Tret'yakov, “On the redundancy of Hessian nonsingularity for linear convergence rate of the Newton method applied to the minimization of convex functions”, Zh. Vychisl. Mat. Mat. Fiz., 64:4 (2024),  637–643  mathnet  elib; Comput. Math. Math. Phys., 64:4 (2024), 781–787 1
3. Yu. G. Evtushenko, A. A. Tret'yakov, “Exact formula for solving a degenerate system of quadratic equations”, Zh. Vychisl. Mat. Mat. Fiz., 64:3 (2024),  387–391  mathnet  elib; Comput. Math. Math. Phys., 64:3 (2024), 365–369
2023
4. Yu. G. Evtushenko, A. A. Tret'yakov, “The method of fictitious extrema localization in the problem of global optimization”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023),  78–80  mathnet  elib; Dokl. Math., 108:1 (2023), 309–311
5. B. Medak, A. A. Tret'yakov, “On the application of the solution of the degenerate nonlinear Burgers equation with a small parameter and the theory of $p$-regularity”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023),  5–9  mathnet  elib; Dokl. Math., 108:1 (2023), 243–247 1
6. Yu. G. Evtushenko, B. Medak, A. A. Tret'yakov, “$p$-Regularity theory and the existence of a solution to a boundary value problem continuously dependent on boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  920–936  mathnet  elib; Comput. Math. Math. Phys., 63:6 (2023), 957–972
2022
7. Yu. G. Evtushenko, E. Bednarczuk, A. Prusińska, A. A. Tret'yakov, “On the equivalence of singular and ill-posed problems: The $p$-factor regularization method”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  41–44  mathnet  mathscinet  elib; Dokl. Math., 106:2 (2022), 336–339
8. Yu. G. Evtushenko, A. A. Tret'yakov, “Convergence of continuous analogues of numerical methods for solving degenerate optimization problems and systems of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022),  1632–1638  mathnet  elib; Comput. Math. Math. Phys., 62:10 (2022), 1602–1608
2021
9. Yu. G. Evtushenko, A. A. Tret'yakov, “A new class of Lyapunov functions for stability analysis of singular dynamical systems. Elements of $p$-regularity theory”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021),  8–12  mathnet  zmath  elib; Dokl. Math., 104:1 (2021), 165–168  scopus
10. D. V. Denisov, Yu. G. Evtushenko, A. A. Tret'yakov, “Some properties of smooth convex functions and Newton’s method”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021),  12–17  mathnet  zmath  elib; Dokl. Math., 103:2 (2021), 76–80  scopus
2020
11. Yu. G. Evtushenko, A. A. Tret'yakov, “A new view of some fundamental results in optimization”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1462–1471  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1412–1421  isi  scopus 1
12. Yu. G. Evtushenko, A. A. Tret'yakov, “Locally polynomial method for solving systems of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  216–220  mathnet  elib; Comput. Math. Math. Phys., 60:2 (2020), 222–226  isi  scopus
2018
13. Yu. G. Evtushenko, A. A. Tret'yakov, “A new proof of the Kuhn–Tucker and Farkas theorems”, Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018),  1084–1088  mathnet  elib; Comput. Math. Math. Phys., 58:7 (2018), 1035–1039  isi  scopus 1
2017
14. A. Prusinska, A. A. Tret'yakov, “The $p$-order maximum principle for an irregular optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017),  1471–1476  mathnet  elib; Comput. Math. Math. Phys., 57:9 (2017), 1453–1458  isi  elib  scopus 2
2016
15. E. Bednarczuk, A. Tretyakov, “On reductibility of degenerate optimization problems to regular operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016),  2031  mathnet  elib; Comput. Math. Math. Phys., 56:12 (2016), 1992–2000  isi  scopus 1
2013
16. Yu. G. Evtushenko, A. A. Tret'yakov, “$p$th-order approximation of the solution set of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013),  1951–1969  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:12 (2013), 1763–1780  isi  elib  scopus 6
2006
17. O. A. Brezhneva, Yu. G. Evtushenko, A. A. Tret'yakov, “New numerical methods and some applied aspects of the $p$-regularity theory”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  1987–2000  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 46:11 (2006), 1896–1909  elib  scopus 6
2005
18. A. Prusińska, A. A. Tret'yakov, “The theorem on existence of singular solutions to nonlinear equations”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2005, no. 12,  22–36  mathnet  mathscinet  zmath 1
2002
19. O. A. Brezhneva, A. A. Tret'yakov, “Solvability of the Cauchy Problem for a First-Order Partial Differential Equation in the Degenerate Case”, Differ. Uravn., 38:2 (2002),  216–221  mathnet  mathscinet; Differ. Equ., 38:2 (2002), 228–234 3
20. V. A. Bereznev, V. G. Karmanov, A. A. Tret'yakov, “Convergence of the penalty function method for an unbounded solution set”, Zh. Vychisl. Mat. Mat. Fiz., 42:5 (2002),  641–652  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:5 (2002), 612–623
2001
21. O. A. Brezhneva, A. A. Tret'yakov, “On the choice of a method for solving a general system of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  675–679  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:5 (2001), 633–637 2
22. O. A. Brezhneva, A. A. Tret'yakov, A. Khmura, “A modified $2$-factor method for solving systems of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  558–569  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:4 (2001), 522–532 2
23. O. A. Brezhneva, A. A. Tret'yakov, A. Khmura, “Generalization of the concept of $p$-regularity and higher order optimality conditions”, Zh. Vychisl. Mat. Mat. Fiz., 41:2 (2001),  207–216  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 41:2 (2001), 187–196 2
2000
24. O. A. Brezhneva, A. F. Izmailov, A. A. Tret'yakov, A. Khmura, “An approach to finding singular solutions to a general system of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:3 (2000),  365–377  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:3 (2000), 347–358 10
1999
25. A. F. Izmailov, V. G. Karmanov, A. A. Tret'yakov, “Gradient method for linear approximate schemes”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999),  1625–1632  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:10 (1999), 1558–1565
26. A. F. Izmailov, V. G. Karmanov, A. A. Tret'yakov, “On the stabilizing properties of the gradient method for unstable approximate schemes”, Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1453–1463  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:9 (1999), 1392–1401 2
27. A. F. Izmailov, A. A. Tret'yakov, “On the gradient method in a Hilbert space in the case of nonisolated minima”, Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  549–552  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:4 (1999), 521–524 1
1998
28. V. N. Malozemov, A. B. Pevnyi, A. A. Tret'yakov, “Fast Wavelet Transform for Discrete Periodic Signals and Patterns”, Probl. Peredachi Inf., 34:2 (1998),  77–85  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:2 (1998), 161–168 5
29. A. F. Izmailov, A. A. Tret'yakov, “Application of nonsmooth optimization methods to solving nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1452–1460  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:9 (1998), 1391–1399
1997
30. A. F. Izmailov, A. A. Tret'yakov, “Methods for finding singular solutions of nonlinear operator equations in the absence of 2-regularity”, Zh. Vychisl. Mat. Mat. Fiz., 37:10 (1997),  1157–1162  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:10 (1997), 1117–1122 1
1996
31. A. F. Izmailov, A. A. Tret'yakov, “On a local regularization of some classes of nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:7 (1996),  15–29  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:7 (1996), 835–846  isi 12
1994
32. A. F. Izmailov, A. A. Tret'yakov, “The method of gradient descent for minimizing non-convex functions”, Zh. Vychisl. Mat. Mat. Fiz., 34:3 (1994),  344–359  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:3 (1994), 287–299  isi 1
1993
33. A. F. Izmailov, A. A. Tret'yakov, “Factor analysis of nonlinear mappings and generalization of the notion of 2-regularity”, Zh. Vychisl. Mat. Mat. Fiz., 33:4 (1993),  631–634  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:4 (1993), 571–573  isi 1
34. A. F. Izmailov, A. A. Tret'yakov, “The reversibility of homogeneous polynomial mappings of degree $p$”, Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  323–334  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:3 (1993), 289–299  isi 2
1992
35. G. A. Maksimova, A. A. Tret'yakov, “Properties of regular mathematical programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 32:1 (1992),  162–167  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:1 (1992), 137–141  isi
1990
36. T. B. Bigil'deeva, T. V. Ganzha, A. A. Tret'yakov, A. S. Yaitskov, “A model and a method for solving an extremal allocation problem in the design of high-speed computers”, Dokl. Akad. Nauk SSSR, 314:3 (1990),  573–575  mathnet  mathscinet  zmath; Dokl. Math., 35:9 (1990), 779–780
1988
37. V. A. Bereznev, S. N. Zavriev, A. A. Tret'yakov, “The interconnection between Lagrange's theorem and the geometry of feasible sets”, Dokl. Akad. Nauk SSSR, 300:6 (1988),  1289–1291  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 797–798
38. K. N. Belash, A. A. Tret'yakov, “Methods for solving degenerate problems”, Zh. Vychisl. Mat. Mat. Fiz., 28:7 (1988),  1097–1102  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:4 (1988), 90–94 36
1987
39. A. A. Tret'yakov, “The implicit function theorem in degenerate problems”, Uspekhi Mat. Nauk, 42:5(257) (1987),  215–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 42:5 (1987), 179–180  isi 28
40. V. A. Bereznev, V. G. Karmanov, A. A. Tret'yakov, “The unconditional minimization of non-convex functions”, Zh. Vychisl. Mat. Mat. Fiz., 27:11 (1987),  1752–1756  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:6 (1987), 101–104 1
41. V. A. Bereznev, V. G. Karmanov, A. A. Tret'yakov, “On the choice of parameters in the method of penalty functions”, Zh. Vychisl. Mat. Mat. Fiz., 27:10 (1987),  1451–1461  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 112–119 1
1986
42. V. A. Bereznev, V. G. Karmanov, A. A. Tret'yakov, “Stabilizing properties of the gradient method”, Zh. Vychisl. Mat. Mat. Fiz., 26:1 (1986),  134–137  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:1 (1986), 84–85 5
1985
43. D. V. Denisov, V. G. Karmanov, A. A. Tret'yakov, “The accelerated Newton method for solving functional equations”, Dokl. Akad. Nauk SSSR, 281:6 (1985),  1293–1297  mathnet  mathscinet  zmath 1
1984
44. A. A. Tret'yakov, “Two schemes of the nonlinear optimization method in extremal problems”, Zh. Vychisl. Mat. Mat. Fiz., 24:7 (1984),  986–992  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 14–18 4
45. A. A. Tret'yakov, “Necessary and sufficient conditions for $P$th order optimality”, Zh. Vychisl. Mat. Mat. Fiz., 24:2 (1984),  203–209  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:1 (1984), 123–127 57

Presentations in Math-Net.Ru
1. Íîâûé âçãëÿä íà òåîðåìó Êóíà-Òàêåðà
A. A. Tret'yakov, Yu. G. Evtushenko

April 14, 2018 14:00   

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025