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ORCIDAlexey F. Izmailov
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2020 – today
- 2024
[j61]Andreas Fischer, Alexey F. Izmailov
, Mikhail V. Solodov:
The Levenberg-Marquardt method: an overview of modern convergence theories and more. Comput. Optim. Appl. 89(1): 33-67 (2024)- 2023
- [j60]Alexey F. Izmailov, Mikhail V. Solodov:
Convergence rate estimates for penalty methods revisited. Comput. Optim. Appl. 85(3): 973-992 (2023) - [j59]Andreas Fischer, Alexey F. Izmailov, Mario Jelitte:
Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions. J. Optim. Theory Appl. 196(3): 1008-1035 (2023) - 2022
- [j58]Alexey F. Izmailov, Mikhail V. Solodov:
Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. J. Optim. Theory Appl. 193(1): 491-522 (2022) - 2021
- [j57]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations. Comput. Optim. Appl. 78(1): 273-286 (2021) - [j56]Andreas Fischer, Alexey F. Izmailov, Mario Jelitte:
Newton-type methods near critical solutions of piecewise smooth nonlinear equations. Comput. Optim. Appl. 80(2): 587-615 (2021) - [j55]Alexey F. Izmailov:
Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers. Comput. Optim. Appl. 80(3): 943-978 (2021) - [j54]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Unit stepsize for the Newton method close to critical solutions. Math. Program. 187(1): 697-721 (2021) - 2020
- [j53]Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy:
Continuous Selections of Solutions for Locally Lipschitzian Equations. J. Optim. Theory Appl. 185(3): 679-699 (2020) - [j52]Aram V. Arutyunov, Alexey F. Izmailov:
Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM J. Optim. 30(1): 604-629 (2020) - [j51]Andreas Fischer, Alexey F. Izmailov, Wladimir Scheck:
Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers. SIAM J. Optim. 30(2): 1555-1581 (2020)
2010 – 2019
- 2019
- [j50]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
A globally convergent Levenberg-Marquardt method for equality-constrained optimization. Comput. Optim. Appl. 72(1): 215-239 (2019) - [j49]Alexey F. Izmailov, Fernando M. Lobo Pereira, Boris S. Mordukhovich:
Nonlinear Analysis and Optimization. J. Optim. Theory Appl. 180(1): 1-4 (2019) - [j48]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions. J. Optim. Theory Appl. 180(1): 140-169 (2019) - 2018
- [j47]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Wladimir Scheck, Mikhail V. Solodov:
A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. Comput. Optim. Appl. 69(2): 325-349 (2018) - [j46]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Critical solutions of nonlinear equations: local attraction for Newton-type methods. Math. Program. 167(2): 355-379 (2018) - [j45]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Critical solutions of nonlinear equations: stability issues. Math. Program. 168(1-2): 475-507 (2018) - 2017
- [j44]Alexey F. Izmailov, E. I. Uskov:
Subspace-stabilized sequential quadratic programming. Comput. Optim. Appl. 67(1): 129-154 (2017) - 2016
- [j43]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov:
Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Comput. Optim. Appl. 63(2): 425-459 (2016) - [j42]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function. J. Optim. Theory Appl. 169(1): 148-178 (2016) - [j41]Alexey F. Izmailov, Mikhail V. Solodov:
Some new facts about sequential quadratic programming methods employing second derivatives. Optim. Methods Softw. 31(6): 1111-1131 (2016) - [j40]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov:
A Globally Convergent LP-Newton Method. SIAM J. Optim. 26(4): 2012-2033 (2016) - 2015
- [j39]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. Comput. Optim. Appl. 60(1): 111-140 (2015) - [j38]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Combining stabilized SQP with the augmented Lagrangian algorithm. Comput. Optim. Appl. 62(2): 405-429 (2015) - [j37]Alexey F. Izmailov, Mikhail V. Solodov:
Newton-Type Methods: A Broader View. J. Optim. Theory Appl. 164(2): 577-620 (2015) - [j36]Alexey F. Izmailov, E. I. Uskov:
Attraction of Newton method to critical Lagrange multipliers: fully quadratic case. Math. Program. 152(1-2): 33-73 (2015) - [j35]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. Optim. Methods Softw. 30(3): 461-477 (2015) - 2014
- [j34]Alexey F. Izmailov, Alexey S. Kurennoy:
On regularity conditions for complementarity problems. Comput. Optim. Appl. 57(3): 667-684 (2014) - [j33]Alexey F. Izmailov, Mikhail V. Solodov:
On error bounds and Newton-type methods for generalized Nash equilibrium problems. Comput. Optim. Appl. 59(1-2): 201-218 (2014) - [j32]Alexey F. Izmailov:
Strongly regular nonsmooth generalized equations. Math. Program. 147(1-2): 581-590 (2014) - 2013
- [j31]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. Math. Program. 142(1-2): 591-604 (2013) - [j30]Alexey F. Izmailov, Alexey S. Kurennoy:
Abstract Newtonian Frameworks and Their Applications. SIAM J. Optim. 23(4): 2369-2396 (2013) - 2012
- [j29]Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov:
Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. Comput. Optim. Appl. 51(1): 199-221 (2012) - [j28]Alexey F. Izmailov, A. L. Pogosyan:
Active-set Newton methods for mathematical programs with vanishing constraints. Comput. Optim. Appl. 53(2): 425-452 (2012) - [j27]Alexey F. Izmailov, Mikhail V. Solodov:
Stabilized SQP revisited. Math. Program. 133(1-2): 93-120 (2012) - [j26]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints. SIAM J. Optim. 22(4): 1579-1606 (2012) - 2011
- [j25]Alexey F. Izmailov, Mikhail V. Solodov:
On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. Math. Program. 126(2): 231-257 (2011) - [j24]Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov:
Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. Optim. Methods Softw. 26(4-5): 847-872 (2011) - 2010
- [j23]Alexey F. Izmailov, Mikhail V. Solodov:
Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Comput. Optim. Appl. 46(2): 347-368 (2010) - [j22]Alexey F. Izmailov, Mikhail V. Solodov:
A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems. SIAM J. Optim. 20(5): 2584-2613 (2010) - [j21]Damián R. Fernández, Alexey F. Izmailov, Mikhail V. Solodov:
Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization. SIAM J. Optim. 20(6): 3312-3334 (2010)
2000 – 2009
- 2009
- [j20]Alexey F. Izmailov, Mikhail V. Solodov:
Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. Comput. Optim. Appl. 42(2): 231-264 (2009) - [j19]Alexey F. Izmailov, Mikhail V. Solodov:
Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method. J. Optimization Theory and Applications 142(3): 501-532 (2009) - [j18]Alexey F. Izmailov, Mikhail V. Solodov:
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Math. Program. 117(1-2): 271-304 (2009) - 2008
- [j17]Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov:
Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. Math. Program. 114(1): 37-68 (2008) - [j16]Alexey F. Izmailov, Mikhail V. Solodov:
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints. SIAM J. Optim. 19(3): 1003-1027 (2008) - 2007
- [j15]Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov:
Directional Regularity and Metric Regularity. SIAM J. Optim. 18(3): 810-833 (2007) - 2006
- [j14]Aram V. Arutyunov, Alexey F. Izmailov:
Directional Stability Theorem and Directional Metric Regularity. Math. Oper. Res. 31(3): 526-543 (2006) - 2005
- [j13]Alexey F. Izmailov, Mikhail V. Solodov:
A note on solution sensitivity for Karush-Kuhn-Tucker systems. Math. Methods Oper. Res. 61(3): 347-363 (2005) - [j12]Aram V. Arutyunov, Alexey F. Izmailov:
Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. Math. Oper. Res. 30(2): 333-353 (2005) - [j11]A. N. Daryina, Alexey F. Izmailov, Mikhail V. Solodov:
A Class of Active-Set Newton Methods for Mixed ComplementarityProblems. SIAM J. Optim. 15(2): 409-429 (2005) - 2004
- [j10]Aram V. Arutyunov, Alexey F. Izmailov:
Abnormal equality-constrained optimization problems: sensitivity theory. Math. Program. 100(3): 485-515 (2004) - [j9]Alexey F. Izmailov, Mikhail V. Solodov:
Newton-Type Methods for Optimization Problems without Constraint Qualifications. SIAM J. Optim. 15(1): 210-228 (2004) - 2003
- [j8]Alexey F. Izmailov, Mikhail V. Solodov:
Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. Math. Program. 95(3): 631-650 (2003) - 2002
- [j7]Alexey F. Izmailov, Mikhail V. Solodov:
The Theory of 2-Regularity for Mappings with Lipschitzian Deriatives and its Applications to Optimality Conditions. Math. Oper. Res. 27(3): 614-635 (2002) - [j6]Alexey F. Izmailov, Mikhail V. Solodov:
Optimality Conditions for Irregular Inequality-Constrained Problems. SIAM J. Control. Optim. 40(4): 1280-1295 (2002) - [j5]Aram V. Arutyunov, Alexey F. Izmailov:
Positive Definiteness of Forms: Numerical Identification. SIAM J. Control. Optim. 41(5): 1567-1585 (2002) - [j4]Alexey F. Izmailov, Mikhail V. Solodov:
Complementarity Constraint Qualification via the Theory of 2-Regularity. SIAM J. Optim. 13(2): 368-385 (2002) - [j3]Alexey F. Izmailov, Mikhail V. Solodov:
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems. SIAM J. Optim. 13(2): 386-405 (2002) - [c1]Alexey F. Izmailov, Mikhail V. Solodov:
On optimality conditions for cone-constrained optimization. CDC 2002: 3162-3167 - 2001
- [j2]Alexey F. Izmailov, Mikhail V. Solodov:
Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Math. Program. 89(3): 413-435 (2001) - [j1]Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov:
Regularization of Linear Approximate Schemes by the Gradient Descent. SIAM J. Numer. Anal. 39(1): 250-263 (2001)
Coauthor Index
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