Alexey F. Izmailov

68 papers Journal 67Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Error bounds and Newton-type methods for reformulations of Karush-Kuhn-Tucker systems of mathematical programs with complementarity constraints. Comput. Optim. Appl. Andreas Fischer, Alexey F. Izmailov, Maik Punke, Zhibai Yan
2026	J	`jnl`	Transformations of variables and transformations of equations via the perturbed Newton method framework. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov
2025	J	`jnl`	Globalization of convergence of the constrained piecewise Levenberg-Marquardt method. Optim. Methods Softw. Alexey F. Izmailov, Evgeniy I. Uskov, Zhibai Yan
2025	J	`jnl`	Stability of Solutions of Piecewise Smooth Constrained Nonlinear Equations. J. Optim. Theory Appl. Alexey F. Izmailov
2024	J	`jnl`	Behavior of Newton-Type Methods Near Critical Solutions of Nonlinear Equations with Semismooth Derivatives. J. Optim. Theory Appl. Andreas Fischer, Alexey F. Izmailov, Mario Jelitte
2024	J	`jnl`	On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations. J. Optim. Theory Appl. Alexey F. Izmailov, Mikhail V. Solodov
2024	J	`jnl`	The Levenberg-Marquardt method: an overview of modern convergence theories and more. Comput. Optim. Appl. Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov
2023	J	`jnl`	Convergence rate estimates for penalty methods revisited. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov
2023	J	`jnl`	Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions. J. Optim. Theory Appl. Andreas Fischer, Alexey F. Izmailov, Mario Jelitte
2022	J	`jnl`	Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. J. Optim. Theory Appl. Alexey F. Izmailov, Mikhail V. Solodov
2021	J	`jnl`	Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers. Comput. Optim. Appl. Alexey F. Izmailov
2021	J	`jnl`	Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations. Comput. Optim. Appl. Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov
2021	J	`jnl`	Newton-type methods near critical solutions of piecewise smooth nonlinear equations. Comput. Optim. Appl. Andreas Fischer, Alexey F. Izmailov, Mario Jelitte
2021	J	`jnl`	Unit stepsize for the Newton method close to critical solutions. Math. Program. Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov
2020	J	`jnl`	Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers. SIAM J. Optim. Andreas Fischer, Alexey F. Izmailov, Wladimir Scheck
2020	J	`jnl`	Continuous Selections of Solutions for Locally Lipschitzian Equations. J. Optim. Theory Appl. Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy
2020	J	`jnl`	Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM J. Optim. Aram V. Arutyunov, Alexey F. Izmailov
2019	J	`jnl`	A globally convergent Levenberg-Marquardt method for equality-constrained optimization. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov, Evgeniy I. Uskov
2019	J	`jnl`	Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions. J. Optim. Theory Appl. Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov
2019	J	`jnl`	Nonlinear Analysis and Optimization. J. Optim. Theory Appl. Alexey F. Izmailov, Fernando M. Lobo Pereira, Boris S. Mordukhovich
2018	J	`jnl`	A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. Comput. Optim. Appl. Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Wladimir Scheck, Mikhail V. Solodov
2018	J	`jnl`	Critical solutions of nonlinear equations: local attraction for Newton-type methods. Math. Program. Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
2018	J	`jnl`	Critical solutions of nonlinear equations: stability issues. Math. Program. Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
2017	J	`jnl`	Subspace-stabilized sequential quadratic programming. Comput. Optim. Appl. Alexey F. Izmailov, Evgeniy I. Uskov
2016	J	`jnl`	A Globally Convergent LP-Newton Method. SIAM J. Optim. Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov
2016	J	`jnl`	Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Comput. Optim. Appl. Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov
2016	J	`jnl`	Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function. J. Optim. Theory Appl. Alexey F. Izmailov, Mikhail V. Solodov, Evgeniy I. Uskov
2016	J	`jnl`	Some new facts about sequential quadratic programming methods employing second derivatives. Optim. Methods Softw. Alexey F. Izmailov, Mikhail V. Solodov
2015	J	`jnl`	Attraction of Newton method to critical Lagrange multipliers: fully quadratic case. Math. Program. Alexey F. Izmailov, Evgeniy I. Uskov
2015	J	`jnl`	Combining stabilized SQP with the augmented Lagrangian algorithm. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov, Evgeniy I. Uskov
2015	J	`jnl`	Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. Comput. Optim. Appl. Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
2015	J	`jnl`	Newton-Type Methods: A Broader View. J. Optim. Theory Appl. Alexey F. Izmailov, Mikhail V. Solodov
2015	J	`jnl`	Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. Optim. Methods Softw. Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
2014	J	`jnl`	On error bounds and Newton-type methods for generalized Nash equilibrium problems. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov
2014	J	`jnl`	On regularity conditions for complementarity problems. Comput. Optim. Appl. Alexey F. Izmailov, Alexey S. Kurennoy
2014	J	`jnl`	Strongly regular nonsmooth generalized equations. Math. Program. Alexey F. Izmailov
2013	J	`jnl`	A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. Math. Program. Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov
2013	J	`jnl`	Abstract Newtonian Frameworks and Their Applications. SIAM J. Optim. Alexey F. Izmailov, Alexey S. Kurennoy
2012	J	`jnl`	Active-set Newton methods for mathematical programs with vanishing constraints. Comput. Optim. Appl. Alexey F. Izmailov, A. L. Pogosyan
2012	J	`jnl`	Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov, Evgeniy I. Uskov
2012	J	`jnl`	Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. Comput. Optim. Appl. Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov
2012	J	`jnl`	Stabilized SQP revisited. Math. Program. Alexey F. Izmailov, Mikhail V. Solodov
2011	J	`jnl`	On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. Math. Program. Alexey F. Izmailov, Mikhail V. Solodov
2011	J	`jnl`	Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. Optim. Methods Softw. Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov
2010	J	`jnl`	A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2010	J	`jnl`	Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov
2010	J	`jnl`	Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization. SIAM J. Optim. Damián R. Fernández, Alexey F. Izmailov, Mikhail V. Solodov
2009	J	`jnl`	Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. Comput. Optim. Appl. Alexey F. Izmailov, Mikhail V. Solodov
2009	J	`jnl`	Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method. J. Optimization Theory and Applications Alexey F. Izmailov, Mikhail V. Solodov
2009	J	`jnl`	On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Math. Program. Alexey F. Izmailov, Mikhail V. Solodov
2008	J	`jnl`	An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2008	J	`jnl`	Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. Math. Program. Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
2007	J	`jnl`	Directional Regularity and Metric Regularity. SIAM J. Optim. Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
2006	J	`jnl`	Directional Stability Theorem and Directional Metric Regularity. Math. Oper. Res. Aram V. Arutyunov, Alexey F. Izmailov
2005	J	`jnl`	A Class of Active-Set Newton Methods for Mixed ComplementarityProblems. SIAM J. Optim. A. N. Daryina, Alexey F. Izmailov, Mikhail V. Solodov
2005	J	`jnl`	A note on solution sensitivity for Karush-Kuhn-Tucker systems. Math. Methods Oper. Res. Alexey F. Izmailov, Mikhail V. Solodov
2005	J	`jnl`	Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. Math. Oper. Res. Aram V. Arutyunov, Alexey F. Izmailov
2004	J	`jnl`	Abnormal equality-constrained optimization problems: sensitivity theory. Math. Program. Aram V. Arutyunov, Alexey F. Izmailov
2004	J	`jnl`	Newton-Type Methods for Optimization Problems without Constraint Qualifications. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2003	J	`jnl`	Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. Math. Program. Alexey F. Izmailov, Mikhail V. Solodov
2002	J	`jnl`	Complementarity Constraint Qualification via the Theory of 2-Regularity. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2002	—	`conf`	On optimality conditions for cone-constrained optimization. CDC Alexey F. Izmailov, Mikhail V. Solodov
2002	J	`jnl`	Optimality Conditions for Irregular Inequality-Constrained Problems. SIAM J. Control. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2002	J	`jnl`	Positive Definiteness of Forms: Numerical Identification. SIAM J. Control. Optim. Aram V. Arutyunov, Alexey F. Izmailov
2002	J	`jnl`	Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2002	J	`jnl`	The Theory of 2-Regularity for Mappings with Lipschitzian Deriatives and its Applications to Optimality Conditions. Math. Oper. Res. Alexey F. Izmailov, Mikhail V. Solodov
2001	J	`jnl`	Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Math. Program. Alexey F. Izmailov, Mikhail V. Solodov
2001	J	`jnl`	Regularization of Linear Approximate Schemes by the Gradient Descent. SIAM J. Numer. Anal. Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov