Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Izmailov, Alexey Feridovich
Statistics Math-Net.Ru
Total publications: 60
Scientific articles: 60
Presentations: 1

Number of views:
This page:3265
Abstract pages:19791
Full texts:8241
References:2970
Izmailov, Alexey Feridovich
Professor
Doctor of physico-mathematical sciences (1998)
Speciality: 05.13.17; 01.01.09 (Theoretical foundation for informatics; Discrete mathematics and mathematical cybernetics)
Birth date: 30.09.1967
E-mail:
Website: https://cs.msu.ru/node/2825
Keywords: nonlinear equation; optimization problem; variational problem; complementarity problem; Newton-type method; regularity; singular solution

Subject:

optimization; variational analysis; nonlinear analysis: numerical methods
   
Main publications:
  • Izmailov A. F., Karmanov V. G., Tretyakov A. A. Regularization of linear approximate schemes by the gradient descent // SIAM J. Numer. Anal., 2001, 39, 1, 250–263.
  • Izmailov A. F., Solodov M. V. Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications // Math. Program., 2001, 89, 3, 413–435.
  • Arutyunov A. V., Izmailov A. F. Bifurcation theorems via second-order optimality conditions // J. Math. Anal. Appl., 2001, 262, 2, 564–576.
  • Izmailov A. F., Solodov M. V. Optimality conditions for irregular inequality-constrained problems // SIAM J. Control Optim., 2001, 40, 4, 1280–1295.

https://www.mathnet.ru/eng/person17743
https://ru.wikipedia.org/wiki/Izmailov,_Aleksei_Feridovich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/328384
https://elibrary.ru/author_items.asp?authorid=9048
ISTINA https://istina.msu.ru/workers/453764
https://orcid.org/0000-0001-9851-0524
https://www.webofscience.com/wos/author/record/N-4160-2019
https://www.scopus.com/authid/detail.url?authorId=7004952369
https://www.researchgate.net/profile/A-Izmailov-2

Publications in Math-Net.Ru Citations
2024
1. D. I. Dorovskikh, A. F. Izmailov, E. I. Uskov, “Globalizing convergence of piecewise Newton methods”, Russian Universities Reports. Mathematics, 29:146 (2024),  149–163  mathnet
2. A. A. Volkov, A. F. Izmailov, E. I. Uskov, “Reduced Hessian methods as a perturbed Newton–Lagrange method”, Russian Universities Reports. Mathematics, 29:145 (2024),  51–64  mathnet
2019
3. N. G. Zhurbenko, A. F. Izmailov, E. I. Uskov, “Hybrid globalization of convergence of subspace-stabilized sequential quadratic programming method”, Russian Universities Reports. Mathematics, 24:126 (2019),  150–165  mathnet  elib
4. A. F. Izmailov, A. S. Kurennoy, P. I. Stetsyuk, “Levenberg–Marquardt method for unconstrained optimization”, Russian Universities Reports. Mathematics, 24:125 (2019),  60–74  mathnet  elib 5
2015
5. A. F. Izmailov, “New implementations of the 2-factor method”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  933–946  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:6 (2015), 922–934  isi  elib  scopus 1
2014
6. A. F. Izmailov, A. S. Kurennoy, “On the sensitivity of a Euclidean projection”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  392–403  mathnet  elib; Comput. Math. Math. Phys., 54:3 (2014), 407–417  isi  elib  scopus
2012
7. A. F. Izmailov, A. S. Kurennoy, “Multiplier methods for optimization problems with Lipschitzian derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 52:12 (2012),  2140–2148  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:12 (2012), 1603–1611  isi  elib  scopus 1
8. A. F. Izmailov, E. I. Uskov, “On the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  1959–1975  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:11 (2012), 1504–1519  isi  elib  scopus 3
9. A. N. Daryina, A. F. Izmailov, “On active-set methods for the quadratic programming problem”, Zh. Vychisl. Mat. Mat. Fiz., 52:4 (2012),  602–613  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:4 (2012), 512–523  isi  elib  scopus 3
2011
10. A. F. Izmailov, E. I. Uskov, “On the application of Newton-type methods to Fritz John optimality conditions”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1194–1208  mathnet  mathscinet; Comput. Math. Math. Phys., 51:7 (2011), 1114–1127  isi  scopus
11. A. F. Izmailov, A. L. Pogosyan, “A semismooth sequential quadratic programming method for lifted mathematical programs with vanishing constraints”, Zh. Vychisl. Mat. Mat. Fiz., 51:6 (2011),  983–1006  mathnet  mathscinet; Comput. Math. Math. Phys., 51:6 (2011), 919–941  isi  scopus 3
12. A. F. Izmailov, “On the limiting properties of dual trajectories in the Lagrange multipliers method”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011),  3–23  mathnet  mathscinet; Comput. Math. Math. Phys., 51:1 (2011), 1–20  isi  scopus 5
2009
13. A. N. Daryina, A. F. Izmailov, “Semismooth Newton method for quadratic programs with bound constraints”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009),  1785–1795  mathnet; Comput. Math. Math. Phys., 49:10 (2009), 1706–1716  isi  scopus 3
14. A. F. Izmailov, A. L. Pogosyan, “Optimality conditions and newton-type methods for mathematical programs with vanishing constraints”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009),  1184–1196  mathnet; Comput. Math. Math. Phys., 49:7 (2009), 1128–1140  isi  scopus 22
15. A. F. Izmailov, “A new technique for avoiding the Maratos effect”, Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  241–254  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 49:2 (2009), 232–245  isi  scopus 1
2008
16. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Exact penalties for optimization problems with 2-regular equality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  365–372  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:3 (2008), 346–353  isi  scopus 1
2007
17. A. N. Daryina, A. F. Izmailov, “On the Newton-type method with admissible trajectories for mixed complementatiry problems”, Avtomat. i Telemekh., 2007, no. 2,  152–161  mathnet  mathscinet  zmath; Autom. Remote Control, 68:2 (2007), 351–360  scopus
18. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Trudy Mat. Inst. Steklova, 256 (2007),  6–30  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 2–25  elib  scopus 22
19. M. Yu. Erina, A. F. Izmailov, “Defining systems and Newton-like methods for finding singular solutions to nonlinear boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007),  1467–1485  mathnet  mathscinet; Comput. Math. Math. Phys., 47:9 (2007), 1409–1427  scopus
20. M. Yu. Erina, A. F. Izmailov, “The Gauss–Newton method for finding singular solutions to systems of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  784–795  mathnet  mathscinet; Comput. Math. Math. Phys., 47:5 (2007), 748–759  scopus 6
21. A. F. Izmailov, “Sensitivity of solutions to systems of optimality conditions under the violation of constraint qualifications”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  555–577  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 47:4 (2007), 533–554  elib  scopus 7
2006
22. M. M. Golishnikov, A. F. Izmailov, “Newton-type methods for constrained optimization with nonregular constraints”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006),  1369–1391  mathnet  mathscinet; Comput. Math. Math. Phys., 46:8 (2006), 1299–1319  scopus 8
2005
23. A. F. Izmailov, “On the analytical and numerical stability of critical Lagrange multipliers”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005),  966–982  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:6 (2005), 930–946  elib 25
2004
24. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “On convergence rate estimates for power penalty methods”, Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1770–1781  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:10 (2004), 1684–1695 4
25. A. F. Izmailov, “Optimization problems with complementary constraints: regularity, optimality conditions and sensibility”, Zh. Vychisl. Mat. Mat. Fiz., 44:7 (2004),  1209–1228  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:7 (2004), 1145–1164 15
26. A. V. Arutyunov, A. F. Izmailov, “Sensitivity analysis for abnormal optimization problems with a cone constraint”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004),  586–608  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:4 (2004), 552–574 8
27. A. N. Daryina, A. F. Izmailov, M. V. Solodov, “Mixed complementary problems: regularity, estimates of the distance to the solution, and Newton's Methods”, Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004),  51–69  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:1 (2004), 45–61 7
2003
28. A. V. Arutyunov, A. F. Izmailov, “The sensitivity theory for abnormal optimization problems with equality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 43:2 (2003),  186–202  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 43:2 (2003), 178–193 7
2002
29. A. V. Arutyunov, A. F. Izmailov, “Checking the sign-definiteness of forms”, Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  800–814  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:6 (2002), 767–780 1
30. O. A. Brezhneva, A. F. Izmailov, “Construction of defining systems for finding singular solutions to nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002),  10–22  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:1 (2002), 8–19 11
2001
31. A. F. Izmailov, “On the Andronov–Hopf Bifurcation Theorem”, Differ. Uravn., 37:5 (2001),  609–615  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 640–646 2
2000
32. A. F. Izmailov, “Theorems on the representation of nonlinear mapping families and implicit function theorems”, Mat. Zametki, 67:1 (2000),  57–68  mathnet  mathscinet  zmath  elib; Math. Notes, 67:1 (2000), 45–54  isi 13
33. 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
34. A. F. Izmailov, “2-regularity and bifurcation theorems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 65 (1999),  90–117  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:1 (2001), 830–846 4
35. A. F. Izmailov, “Optimality conditions in extremal problems with nonregular inequality constraints”, Mat. Zametki, 66:1 (1999),  89–101  mathnet  mathscinet  zmath; Math. Notes, 66:1 (1999), 72–81  isi 15
36. 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
37. 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
38. A. F. Izmailov, “Singular solutions of parametric equations and the method of artificial parametrization”, Zh. Vychisl. Mat. Mat. Fiz., 39:8 (1999),  1283–1289  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:8 (1999), 1231–1237 1
39. A. F. Izmailov, “Stable singular solutions of nonlinear operator equations with a parameter”, Zh. Vychisl. Mat. Mat. Fiz., 39:5 (1999),  707–717  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 39:5 (1999), 675–685 1
40. 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
41. A. F. Izmailov, “Some generalizations of the Morse lemma”, Trudy Mat. Inst. Steklova, 220 (1998),  142–156  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 220 (1998), 138–153 15
42. 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
43. A. F. Izmailov, “Justification of the quadrature method for nonlinear integral equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1153–1161  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:7 (1998), 1103–1111 2
44. A. F. Izmailov, “On the convergence of descent methods”, Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  903–911  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:6 (1998), 866–874
1997
45. 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
46. A. F. Izmailov, “Attractors of iterative processors in the presence of noises”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  908–913  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:8 (1997), 879–883 2
47. A. F. Izmailov, “Methods for solving nonlinear operator equations with singular Fredholm derivatives”, Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  145–152  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:2 (1997), 139–147 1
1996
48. A. F. Izmailov, “Stable methods for finding 2-regular solutions of nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996),  22–34  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:9 (1996), 1183–1192  isi 10
49. 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
50. A. F. Izmailov, “On higher-order methods for finding singular solutions of nonlinear operator equations”, Zh. Vychisl. Mat. Mat. Fiz., 36:5 (1996),  20–29  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:5 (1996), 569–576  isi 1
51. A. F. Izmailov, “On Lagrange methods for finding degenerate solutions of constrained extremum problems”, Zh. Vychisl. Mat. Mat. Fiz., 36:4 (1996),  10–17  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:4 (1996), 423–429  isi 4
1995
52. A. F. Izmailov, “The $2$-factor method and multipoint boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 35:11 (1995),  1603–1614  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:11 (1995), 1291–1299  isi 3
1994
53. A. F. Izmailov, “Optimality conditions for degenerate extremum problems with inequality-type constraints”, Zh. Vychisl. Mat. Mat. Fiz., 34:6 (1994),  837–854  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:6 (1994), 723–736  isi 4
54. 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
55. 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
56. 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
57. A. F. Izmailov, “Second order optimization methods”, Zh. Vychisl. Mat. Mat. Fiz., 33:2 (1993),  163–178  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:2 (1993), 145–156  isi
1992
58. A. F. Izmailov, “Degenerate extremum problems with inequality-type constraints”, Zh. Vychisl. Mat. Mat. Fiz., 32:10 (1992),  1570–1581  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:10 (1992), 1413–1421  isi 1
59. A. F. Izmailov, “Necessary higher-order conditions in extremum problems”, Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992),  1310–1313  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:8 (1992), 1167–1169  isi 1
1989
60. A. F. Izmailov, A. R. Kessel, “Derivation of the indirect interaction operator by the path integral method. Exact results in the $s-d$ exchange model”, TMF, 80:3 (1989),  405–417  mathnet; Theoret. and Math. Phys., 80:3 (1989), 959–967  isi

Presentations in Math-Net.Ru
1. Critical solutions to variational problems
A. F. Izmailov
Optimization and nonlinear analysis
October 15, 2020 14:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024