Alexey F. Izmailov

Orcid: 0000-0001-9851-0524

According to our database1, Alexey F. Izmailov authored at least 61 papers between 2001 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

Timeline

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Bibliography

2023
Convergence rate estimates for penalty methods revisited.
Comput. Optim. Appl., July, 2023

Stability of Singular Solutions of Nonlinear Equations with Restricted Smoothness Assumptions.
J. Optim. Theory Appl., March, 2023

2022
Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants.
J. Optim. Theory Appl., 2022

2021
Unit stepsize for the Newton method close to critical solutions.
Math. Program., 2021

Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers.
Comput. Optim. Appl., 2021

Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations.
Comput. Optim. Appl., 2021

Newton-type methods near critical solutions of piecewise smooth nonlinear equations.
Comput. Optim. Appl., 2021

2020
Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers.
SIAM J. Optim., 2020

Covering on a Convex Set in the Absence of Robinson's Regularity.
SIAM J. Optim., 2020

Continuous Selections of Solutions for Locally Lipschitzian Equations.
J. Optim. Theory Appl., 2020

2019
Nonlinear Analysis and Optimization.
J. Optim. Theory Appl., 2019

Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions.
J. Optim. Theory Appl., 2019

A globally convergent Levenberg-Marquardt method for equality-constrained optimization.
Comput. Optim. Appl., 2019

2018
Critical solutions of nonlinear equations: stability issues.
Math. Program., 2018

Critical solutions of nonlinear equations: local attraction for Newton-type methods.
Math. Program., 2018

A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points.
Comput. Optim. Appl., 2018

2017
Subspace-stabilized sequential quadratic programming.
Comput. Optim. Appl., 2017

2016
A Globally Convergent LP-Newton Method.
SIAM J. Optim., 2016

Some new facts about sequential quadratic programming methods employing second derivatives.
Optim. Methods Softw., 2016

Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function.
J. Optim. Theory Appl., 2016

Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions.
Comput. Optim. Appl., 2016

2015
Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework.
Optim. Methods Softw., 2015

Attraction of Newton method to critical Lagrange multipliers: fully quadratic case.
Math. Program., 2015

Newton-Type Methods: A Broader View.
J. Optim. Theory Appl., 2015

Combining stabilized SQP with the augmented Lagrangian algorithm.
Comput. Optim. Appl., 2015

Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption.
Comput. Optim. Appl., 2015

2014
Strongly regular nonsmooth generalized equations.
Math. Program., 2014

On error bounds and Newton-type methods for generalized Nash equilibrium problems.
Comput. Optim. Appl., 2014

On regularity conditions for complementarity problems.
Comput. Optim. Appl., 2014

2013
Abstract Newtonian Frameworks and Their Applications.
SIAM J. Optim., 2013

A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems.
Math. Program., 2013

2012
Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints.
SIAM J. Optim., 2012

Stabilized SQP revisited.
Math. Program., 2012

Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints.
Comput. Optim. Appl., 2012

Active-set Newton methods for mathematical programs with vanishing constraints.
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.
Optim. Methods Softw., 2011

On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers.
Math. Program., 2011

2010
A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems.
SIAM J. Optim., 2010

Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization.
SIAM J. Optim., 2010

Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization.
Comput. Optim. Appl., 2010

2009
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions.
Math. Program., 2009

Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method.
J. Optimization Theory and Applications, 2009

Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints.
Comput. Optim. Appl., 2009

2008
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints.
SIAM J. Optim., 2008

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications.
Math. Program., 2008

2007
Directional Regularity and Metric Regularity.
SIAM J. Optim., 2007

2006
Directional Stability Theorem and Directional Metric Regularity.
Math. Oper. Res., 2006

2005
A Class of Active-Set Newton Methods for Mixed ComplementarityProblems.
SIAM J. Optim., 2005

Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications.
Math. Oper. Res., 2005

A note on solution sensitivity for Karush-Kuhn-Tucker systems.
Math. Methods Oper. Res., 2005

2004
Newton-Type Methods for Optimization Problems without Constraint Qualifications.
SIAM J. Optim., 2004

Abnormal equality-constrained optimization problems: sensitivity theory.
Math. Program., 2004

2003
Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods.
Math. Program., 2003

2002
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems.
SIAM J. Optim., 2002

Complementarity Constraint Qualification via the Theory of 2-Regularity.
SIAM J. Optim., 2002

Optimality Conditions for Irregular Inequality-Constrained Problems.
SIAM J. Control. Optim., 2002

Positive Definiteness of Forms: Numerical Identification.
SIAM J. Control. Optim., 2002

The Theory of 2-Regularity for Mappings with Lipschitzian Deriatives and its Applications to Optimality Conditions.
Math. Oper. Res., 2002

On optimality conditions for cone-constrained optimization.
Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001
Regularization of Linear Approximate Schemes by the Gradient Descent.
SIAM J. Numer. Anal., 2001

Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications.
Math. Program., 2001


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