Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2001)

Regularization of Linear Approximate Schemes by the Gradient Descent. - Alexey F. Izmailov; Vladimir G. Karmanov; Alexey Tret'yakov (SIAM J. Numer. Anal., 2001)

On optimality conditions for cone-constrained optimization. - Alexey F. Izmailov; Mikhail V. Solodov (CDC, 2002)

The Theory of 2-Regularity for Mappings with Lipschitzian Deriatives and its Applications to Optimality Conditions. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Oper. Res., 2002)

Positive Definiteness of Forms: Numerical Identification. - Aram V. Arutyunov; Alexey F. Izmailov (SIAM J. Control. Optim., 2002)

Optimality Conditions for Irregular Inequality-Constrained Problems. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Control. Optim., 2002)

Complementarity Constraint Qualification via the Theory of 2-Regularity. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2002)

Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2002)

Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2003)

Abnormal equality-constrained optimization problems: sensitivity theory. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Program., 2004)

Newton-Type Methods for Optimization Problems without Constraint Qualifications. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2004)

A note on solution sensitivity for Karush-Kuhn-Tucker systems. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Methods Oper. Res., 2005)

Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Oper. Res., 2005)

A Class of Active-Set Newton Methods for Mixed ComplementarityProblems. - A. N. Daryina; Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2005)

Directional Stability Theorem and Directional Metric Regularity. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Oper. Res., 2006)

Directional Regularity and Metric Regularity. - Aram V. Arutyunov; Evgeniy R. Avakov; Alexey F. Izmailov (SIAM J. Optim., 2007)

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. - Aram V. Arutyunov; Evgeniy R. Avakov; Alexey F. Izmailov (Math. Program., 2008)

An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2008)

Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. - Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2009)

Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method. - Alexey F. Izmailov; Mikhail V. Solodov (J. Optimization Theory and Applications, 2009)

On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2009)

Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. - Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2010)

Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization. - Damián R. Fernández; Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2010)

A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems. - Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2010)

On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2011)

Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. - Alexey F. Izmailov; A. L. Pogosyan; Mikhail V. Solodov (Optim. Methods Softw., 2011)

Active-set Newton methods for mathematical programs with vanishing constraints. - Alexey F. Izmailov; A. L. Pogosyan (Comput. Optim. Appl., 2012)

Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. - Alexey F. Izmailov; A. L. Pogosyan; Mikhail V. Solodov (Comput. Optim. Appl., 2012)

Stabilized SQP revisited. - Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2012)

Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints. - Alexey F. Izmailov; Mikhail V. Solodov; Evgeniy I. Uskov (SIAM J. Optim., 2012)

A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. - Alexey F. Izmailov; Alexey S. Kurennoy; Mikhail V. Solodov (Math. Program., 2013)

Abstract Newtonian Frameworks and Their Applications. - Alexey F. Izmailov; Alexey S. Kurennoy (SIAM J. Optim., 2013)

On regularity conditions for complementarity problems. - Alexey F. Izmailov; Alexey S. Kurennoy (Comput. Optim. Appl., 2014)

On error bounds and Newton-type methods for generalized Nash equilibrium problems. - Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2014)

Strongly regular nonsmooth generalized equations. - Alexey F. Izmailov (Math. Program., 2014)

Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. - Alexey F. Izmailov; Alexey S. Kurennoy; Mikhail V. Solodov (Comput. Optim. Appl., 2015)

Combining stabilized SQP with the augmented Lagrangian algorithm. - Alexey F. Izmailov; Mikhail V. Solodov; Evgeniy I. Uskov (Comput. Optim. Appl., 2015)

Newton-Type Methods: A Broader View. - Alexey F. Izmailov; Mikhail V. Solodov (J. Optim. Theory Appl., 2015)

Attraction of Newton method to critical Lagrange multipliers: fully quadratic case. - Alexey F. Izmailov; Evgeniy I. Uskov (Math. Program., 2015)

Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. - Alexey F. Izmailov; Alexey S. Kurennoy; Mikhail V. Solodov (Optim. Methods Softw., 2015)

Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. - Andreas Fischer 004; Markus Herrich; Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2016)

Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function. - Alexey F. Izmailov; Mikhail V. Solodov; Evgeniy I. Uskov (J. Optim. Theory Appl., 2016)

Some new facts about sequential quadratic programming methods employing second derivatives. - Alexey F. Izmailov; Mikhail V. Solodov (Optim. Methods Softw., 2016)

A Globally Convergent LP-Newton Method. - Andreas Fischer 004; Markus Herrich; Alexey F. Izmailov; Mikhail V. Solodov (SIAM J. Optim., 2016)

Subspace-stabilized sequential quadratic programming. - Alexey F. Izmailov; Evgeniy I. Uskov (Comput. Optim. Appl., 2017)

A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. - Andreas Fischer 004; Markus Herrich; Alexey F. Izmailov; Wladimir Scheck; Mikhail V. Solodov (Comput. Optim. Appl., 2018)

Critical solutions of nonlinear equations: local attraction for Newton-type methods. - Alexey F. Izmailov; Alexey S. Kurennoy; Mikhail V. Solodov (Math. Program., 2018)

Critical solutions of nonlinear equations: stability issues. - Alexey F. Izmailov; Alexey S. Kurennoy; Mikhail V. Solodov (Math. Program., 2018)

A globally convergent Levenberg-Marquardt method for equality-constrained optimization. - Alexey F. Izmailov; Mikhail V. Solodov; Evgeniy I. Uskov (Comput. Optim. Appl., 2019)

Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions. - Andreas Fischer 004; Alexey F. Izmailov; Mikhail V. Solodov (J. Optim. Theory Appl., 2019)

Nonlinear Analysis and Optimization. - Alexey F. Izmailov; Fernando M. Lobo Pereira; Boris S. Mordukhovich (J. Optim. Theory Appl., 2019)

Continuous Selections of Solutions for Locally Lipschitzian Equations. - Aram V. Arutyunov; Alexey F. Izmailov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 2020)

Covering on a Convex Set in the Absence of Robinson's Regularity. - Aram V. Arutyunov; Alexey F. Izmailov (SIAM J. Optim., 2020)

Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers. - Andreas Fischer 004; Alexey F. Izmailov; Wladimir Scheck (SIAM J. Optim., 2020)

Newton-type methods near critical solutions of piecewise smooth nonlinear equations. - Andreas Fischer 004; Alexey F. Izmailov; Mario Jelitte (Comput. Optim. Appl., 2021)

Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations. - Andreas Fischer 004; Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2021)

Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers. - Alexey F. Izmailov (Comput. Optim. Appl., 2021)

Unit stepsize for the Newton method close to critical solutions. - Andreas Fischer 004; Alexey F. Izmailov; Mikhail V. Solodov (Math. Program., 2021)

Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. - Alexey F. Izmailov; Mikhail V. Solodov (J. Optim. Theory Appl., 2022)

Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions. - Andreas Fischer 004; Alexey F. Izmailov; Mario Jelitte (J. Optim. Theory Appl., 2023)

Convergence rate estimates for penalty methods revisited. - Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2023)

The Levenberg-Marquardt method: an overview of modern convergence theories and more. - Andreas Fischer 004; Alexey F. Izmailov; Mikhail V. Solodov (Comput. Optim. Appl., 2024)

On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations. - Alexey F. Izmailov; Mikhail V. Solodov (J. Optim. Theory Appl., 2024)

Behavior of Newton-Type Methods Near Critical Solutions of Nonlinear Equations with Semismooth Derivatives. - Andreas Fischer 004; Alexey F. Izmailov; Mario Jelitte (J. Optim. Theory Appl., 2024)

Stability of Solutions of Piecewise Smooth Constrained Nonlinear Equations. - Alexey F. Izmailov (J. Optim. Theory Appl., 2025)

Globalization of convergence of the constrained piecewise Levenberg-Marquardt method. - Alexey F. Izmailov; Evgeniy I. Uskov; Yan Zhibai (Optim. Methods Softw., 2025)