Alexey F. Izmailov

According to our database, Alexey F. Izmailov authored at least 62 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of five.

2024

The Levenberg-Marquardt method: an overview of modern convergence theories and more.

Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., September, 2024

2023

Convergence rate estimates for penalty methods revisited.

Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., July, 2023

Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions.

Andreas Fischer, Alexey F. Izmailov, Mario Jelitte

J. Optim. Theory Appl., March, 2023

2022

Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants.

Alexey F. Izmailov, Mikhail V. Solodov

J. Optim. Theory Appl., 2022

2021

Unit stepsize for the Newton method close to critical solutions.

Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov

Math. Program., 2021

Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers.

Alexey F. Izmailov

Comput. Optim. Appl., 2021

Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations.

Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., 2021

Newton-type methods near critical solutions of piecewise smooth nonlinear equations.

Andreas Fischer, Alexey F. Izmailov, Mario Jelitte

Comput. Optim. Appl., 2021

2020

Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers.

Andreas Fischer, Alexey F. Izmailov, Wladimir Scheck

SIAM J. Optim., 2020

Covering on a Convex Set in the Absence of Robinson's Regularity.

Aram V. Arutyunov, Alexey F. Izmailov

SIAM J. Optim., 2020

Continuous Selections of Solutions for Locally Lipschitzian Equations.

Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2020

2019

Nonlinear Analysis and Optimization.

Alexey F. Izmailov, Fernando M. Lobo Pereira, Boris S. Mordukhovich

J. Optim. Theory Appl., 2019

Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions.

Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov

J. Optim. Theory Appl., 2019

A globally convergent Levenberg-Marquardt method for equality-constrained optimization.

Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov

Comput. Optim. Appl., 2019

2018

Critical solutions of nonlinear equations: stability issues.

Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov

Math. Program., 2018

Critical solutions of nonlinear equations: local attraction for Newton-type methods.

Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov

Math. Program., 2018

A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points.

Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Wladimir Scheck, Mikhail V. Solodov

Comput. Optim. Appl., 2018

2017

Subspace-stabilized sequential quadratic programming.

Alexey F. Izmailov, E. I. Uskov

Comput. Optim. Appl., 2017

2016

A Globally Convergent LP-Newton Method.

Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2016

Some new facts about sequential quadratic programming methods employing second derivatives.

Alexey F. Izmailov, Mikhail V. Solodov

Optim. Methods Softw., 2016

Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function.

Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov

J. Optim. Theory Appl., 2016

Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions.

Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., 2016

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

Attraction of Newton method to critical Lagrange multipliers: fully quadratic case.

Alexey F. Izmailov, E. I. Uskov

Math. Program., 2015

Newton-Type Methods: A Broader View.

Alexey F. Izmailov, Mikhail V. Solodov

J. Optim. Theory Appl., 2015

Combining stabilized SQP with the augmented Lagrangian algorithm.

Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov

Comput. Optim. Appl., 2015

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

2014

Strongly regular nonsmooth generalized equations.

Alexey F. Izmailov

Math. Program., 2014

On error bounds and Newton-type methods for generalized Nash equilibrium problems.

Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., 2014

On regularity conditions for complementarity problems.

Alexey F. Izmailov, Alexey S. Kurennoy

Comput. Optim. Appl., 2014

2013

Abstract Newtonian Frameworks and Their Applications.

Alexey F. Izmailov, Alexey S. Kurennoy

SIAM J. Optim., 2013

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

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, E. I. Uskov

SIAM J. Optim., 2012

Stabilized SQP revisited.

Alexey F. Izmailov, Mikhail V. Solodov

Math. Program., 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

Active-set Newton methods for mathematical programs with vanishing constraints.

Alexey F. Izmailov, A. L. Pogosyan

Comput. Optim. Appl., 2012

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

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

2010

A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 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

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

2009

On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions.

Alexey F. Izmailov, Mikhail V. Solodov

Math. Program., 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

Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints.

Alexey F. Izmailov, Mikhail V. Solodov

Comput. Optim. Appl., 2009

2008

An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2008

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications.

Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov

Math. Program., 2008

2007

Directional Regularity and Metric Regularity.

Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov

SIAM J. Optim., 2007

2006

Directional Stability Theorem and Directional Metric Regularity.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Oper. Res., 2006

2005

A Class of Active-Set Newton Methods for Mixed ComplementarityProblems.

A. N. Daryina, Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2005

Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Oper. Res., 2005

A note on solution sensitivity for Karush-Kuhn-Tucker systems.

Alexey F. Izmailov, Mikhail V. Solodov

Math. Methods Oper. Res., 2005

2004

Newton-Type Methods for Optimization Problems without Constraint Qualifications.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2004

Abnormal equality-constrained optimization problems: sensitivity theory.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Program., 2004

2003

Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods.

Alexey F. Izmailov, Mikhail V. Solodov

Math. Program., 2003

2002

Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2002

Complementarity Constraint Qualification via the Theory of 2-Regularity.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Optim., 2002

Optimality Conditions for Irregular Inequality-Constrained Problems.

Alexey F. Izmailov, Mikhail V. Solodov

SIAM J. Control. Optim., 2002

Positive Definiteness of Forms: Numerical Identification.

Aram V. Arutyunov, Alexey F. Izmailov

SIAM J. Control. Optim., 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

On optimality conditions for cone-constrained optimization.

Alexey F. Izmailov, Mikhail V. Solodov

Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001

Regularization of Linear Approximate Schemes by the Gradient Descent.

Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov

SIAM J. Numer. Anal., 2001

Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications.

Alexey F. Izmailov, Mikhail V. Solodov

Math. Program., 2001