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Tret'yakov, Alexey Anatol'evich

Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 34

Number of views:
This page:542
Abstract pages:6152
Full texts:2541
References:751
Professor
Doctor of physico-mathematical sciences
Website: http://www.ccas.ru/depart/sever/staff/tretyakov/index.php

http://www.mathnet.ru/eng/person22343
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/200754

Publications in Math-Net.Ru
2020
1. 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
2. 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
3. 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
2017
4. 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
2016
5. 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
2013
6. 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
2006
7. 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
2005
8. A. Prusińska, A. A. Tret'yakov, “The theorem on existence of singular solutions to nonlinear equations”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2005, 12,  22–36  mathnet  mathscinet  zmath
2002
9. 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
10. 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
11. 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
12. 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
13. 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
2000
14. 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
1999
15. 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
16. 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
17. 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
1998
18. 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
19. 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
20. 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
1996
21. 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
1994
22. 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
1993
23. 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
24. 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
1992
25. 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
1988
26. 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
27. 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
1987
28. 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
29. 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
30. 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
1986
31. 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
1985
32. 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
1984
33. 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
34. 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

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