Alexey F. Izmailov

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 27

Top Topics

Constrained Optimization

Globally Convergent

Penalty Function

Nonlinear Equations

Top Venues

Comput. Optim. Appl.

J. Optim. Theory Appl.

Publications

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) (2024)
Andreas Fischer, Alexey F. Izmailov, Mario Jelitte
Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions. J. Optim. Theory Appl. 196 (3) (2023)
Alexey F. Izmailov, Mikhail V. Solodov
Convergence rate estimates for penalty methods revisited. Comput. Optim. Appl. 85 (3) (2023)
Alexey F. Izmailov, Mikhail V. Solodov
Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. J. Optim. Theory Appl. 193 (1) (2022)
Alexey F. Izmailov
Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers. Comput. Optim. Appl. 80 (3) (2021)
Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov
Unit stepsize for the Newton method close to critical solutions. Math. Program. 187 (1) (2021)
Andreas Fischer, Alexey F. Izmailov, M. Jelitte
Newton-type methods near critical solutions of piecewise smooth nonlinear equations. Comput. Optim. Appl. 80 (2) (2021)
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) (2021)
Aram V. Arutyunov, Alexey F. Izmailov
Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM J. Optim. 30 (1) (2020)
Andreas Fischer, Alexey F. Izmailov, Wladimir Scheck
Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers. SIAM J. Optim. 30 (2) (2020)
Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy
Continuous Selections of Solutions for Locally Lipschitzian Equations. J. Optim. Theory Appl. 185 (3) (2020)
Alexey F. Izmailov, Fernando M. Lobo Pereira, Boris S. Mordukhovich
Nonlinear Analysis and Optimization. J. Optim. Theory Appl. 180 (1) (2019)
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) (2019)
Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov
A globally convergent Levenberg-Marquardt method for equality-constrained optimization. Comput. Optim. Appl. 72 (1) (2019)
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) (2018)
Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
Critical solutions of nonlinear equations: stability issues. Math. Program. 168 (1-2) (2018)
Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
Critical solutions of nonlinear equations: local attraction for Newton-type methods. Math. Program. 167 (2) (2018)
Alexey F. Izmailov, E. I. Uskov
Subspace-stabilized sequential quadratic programming. Comput. Optim. Appl. 67 (1) (2017)
Alexey F. Izmailov, Mikhail V. Solodov
Some new facts about sequential quadratic programming methods employing second derivatives. Optim. Methods Softw. 31 (6) (2016)
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) (2016)
Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov
A Globally Convergent LP-Newton Method. SIAM J. Optim. 26 (4) (2016)
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) (2016)
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) (2015)
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) (2015)
Alexey F. Izmailov, E. I. Uskov
Attraction of Newton method to critical Lagrange multipliers: fully quadratic case. Math. Program. 152 (1-2) (2015)
Alexey F. Izmailov, Mikhail V. Solodov
Newton-Type Methods: A Broader View. J. Optim. Theory Appl. 164 (2) (2015)
Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov
Combining stabilized SQP with the augmented Lagrangian algorithm. Comput. Optim. Appl. 62 (2) (2015)
Alexey F. Izmailov, Mikhail V. Solodov
On error bounds and Newton-type methods for generalized Nash equilibrium problems. Comput. Optim. Appl. 59 (1-2) (2014)
Alexey F. Izmailov
Strongly regular nonsmooth generalized equations. Math. Program. 147 (1-2) (2014)
Alexey F. Izmailov, Alexey S. Kurennoy
On regularity conditions for complementarity problems. Comput. Optim. Appl. 57 (3) (2014)
Alexey F. Izmailov, Alexey S. Kurennoy
Abstract Newtonian Frameworks and Their Applications. SIAM J. Optim. 23 (4) (2013)
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) (2013)
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) (2012)
Alexey F. Izmailov, A. L. Pogosyan
Active-set Newton methods for mathematical programs with vanishing constraints. Comput. Optim. Appl. 53 (2) (2012)
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) (2012)
Alexey F. Izmailov, Mikhail V. Solodov
Stabilized SQP revisited. Math. Program. 133 (1-2) (2012)
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) (2011)
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) (2011)
Alexey F. Izmailov, Mikhail V. Solodov
A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems. SIAM J. Optim. 20 (5) (2010)
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) (2010)
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) (2010)
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) (2009)
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) (2009)
Alexey F. Izmailov, Mikhail V. Solodov
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Math. Program. 117 (1-2) (2009)
Alexey F. Izmailov, Mikhail V. Solodov
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints. SIAM J. Optim. 19 (3) (2008)
Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. Math. Program. 114 (1) (2008)
Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
Directional Regularity and Metric Regularity. SIAM J. Optim. 18 (3) (2007)
Aram V. Arutyunov, Alexey F. Izmailov
Directional Stability Theorem and Directional Metric Regularity. Math. Oper. Res. 31 (3) (2006)
Alexey F. Izmailov, Mikhail V. Solodov
A note on solution sensitivity for Karush-Kuhn-Tucker systems. Math. Methods Oper. Res. 61 (3) (2005)
A. N. Daryina, Alexey F. Izmailov, Mikhail V. Solodov
A Class of Active-Set Newton Methods for Mixed ComplementarityProblems. SIAM J. Optim. 15 (2) (2005)
Aram V. Arutyunov, Alexey F. Izmailov
Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. Math. Oper. Res. 30 (2) (2005)
Alexey F. Izmailov, Mikhail V. Solodov
Newton-Type Methods for Optimization Problems without Constraint Qualifications. SIAM J. Optim. 15 (1) (2004)
Aram V. Arutyunov, Alexey F. Izmailov
Abnormal equality-constrained optimization problems: sensitivity theory. Math. Program. 100 (3) (2004)
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) (2003)
Alexey F. Izmailov, Mikhail V. Solodov
Optimality Conditions for Irregular Inequality-Constrained Problems. SIAM J. Control. Optim. 40 (4) (2002)
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) (2002)
Aram V. Arutyunov, Alexey F. Izmailov
Positive Definiteness of Forms: Numerical Identification. SIAM J. Control. Optim. 41 (5) (2002)
Alexey F. Izmailov, Mikhail V. Solodov
On optimality conditions for cone-constrained optimization. CDC (2002)
Alexey F. Izmailov, Mikhail V. Solodov
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems. SIAM J. Optim. 13 (2) (2002)
Alexey F. Izmailov, Mikhail V. Solodov
Complementarity Constraint Qualification via the Theory of 2-Regularity. SIAM J. Optim. 13 (2) (2002)
Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov
Regularization of Linear Approximate Schemes by the Gradient Descent. SIAM J. Numer. Anal. 39 (1) (2001)
Alexey F. Izmailov, Mikhail V. Solodov
Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Math. Program. 89 (3) (2001)