Backpropagation Convergence via Deterministic Nonmonotone Perturbed Minimization. - Olvi L. Mangasarian; Mikhail V. Solodov (NIPS, 1993)

Nonlinear complementarity as unconstrained and constrained minimization. - Olvi L. Mangasarian; Mikhail V. Solodov (Math. Program., 1993)

New Error Bounds for the Linear Complementarity Problem. - Z.-Q. Luo; O. L. Mangasarian; J. Ren; Mikhail V. Solodov (Math. Oper. Res., 1994)

New Inexact Parallel Variable Distribution Algorithms. - Michael V. Solodov (Comput. Optim. Appl., 1997)

Incremental Gradient Algorithms with Stepsizes Bounded Away from Zero. - Mikhail V. Solodov (Comput. Optim. Appl., 1998)

On the projected subgradient method for nonsmooth convex optimization in a Hilbert space. - Ya. I. Alber; Alfredo N. Iusem; Mikhail V. Solodov (Math. Program., 1998)

On the Convergence of Constrained Parallel Variable Distribution Algorithms. - Michael V. Solodov (SIAM J. Optim., 1998)

Parallel Constrained Optimization via Distribution of Variables. - Claudia A. Sagastizábal; Mikhail V. Solodov (Euro-Par, 1999)

A Linearly Convergent Derivative-Free Descent Method for Strongly Monotone Complementarity Problems. - Olvi L. Mangasarian; Mikhail V. Solodov (Comput. Optim. Appl., 1999)

Some Optimization Reformulations of the Extended Linear Complementarity Problem. - Michael V. Solodov (Comput. Optim. Appl., 1999)

Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities. - Michael V. Solodov; Paul Tseng (Comput. Optim. Appl., 2000)

An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions. - Mikhail V. Solodov; Benar Fux Svaiter (Math. Oper. Res., 2000)

Forcing strong convergence of proximal point iterations in a Hilbert space. - Mikhail V. Solodov; Benar Fux Svaiter (Math. Program., 2000)

Error bounds for proximal point subproblems and associated inexact proximal point algorithms. - Mikhail V. Solodov; Benar Fux Svaiter (Math. Program., 2000)

A Truly Globally Convergent Newton-Type Method for the Monotone Nonlinear Complementarity Problem. - Mikhail V. Solodov; Benar Fux Svaiter (SIAM J. Optim., 2000)

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

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

Parallel Variable Distribution for Constrained Optimization. - Claudia A. Sagastizábal; Mikhail V. Solodov (Comput. Optim. Appl., 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)

A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. - Mikhail V. Solodov; Benar Fux Svaiter (Optim. Methods Softw., 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)

Convergence rate analysis of iteractive algorithms for solving variational inequality problems. - Mikhail V. Solodov (Math. Program., 2003)

On the Sequential Quadratically Constrained Quadratic Programming Methods. - Mikhail V. Solodov (Math. Oper. Res., 2004)

Foreword: special issue for the 70th birthday of professor Olvi Mangasarian. - Michael C. Ferris; Mikhail V. Solodov (Optim. Methods Softw., 2004)

A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. - Mikhail V. Solodov (Optim. Methods Softw., 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)

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

An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter. - Claudia A. Sagastizábal; Mikhail V. Solodov (SIAM J. Optim., 2005)

A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems. - Mikhail V. Solodov (SIAM J. Optim., 2007)

On local convergence of sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems. - Damián R. Fernández; Mikhail V. Solodov (Comput. Optim. Appl., 2008)

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

A Class of Inexact Variable Metric Proximal Point Algorithms. - Lisandro A. Parente; Pablo A. Lotito; 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)

A bundle-filter method for nonsmooth convex constrained optimization. - Elizabeth W. Karas; Ademir A. Ribeiro; Claudia A. Sagastizábal; Mikhail V. Solodov (Math. Program., 2009)

Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences. - Mikhail V. Solodov (Math. Program., 2009)

Identifying Structure of Nonsmooth Convex Functions by the Bundle Technique. - Aris Daniilidis; Claudia A. Sagastizábal; Mikhail V. Solodov (SIAM J. Optim., 2009)

Implicit Lagrangian. - Michael V. Solodov (Encyclopedia of Optimization, 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)

Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems. - Damián R. Fernández; Mikhail V. Solodov (Math. Program., 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)

Solving generation expansion planning problems with environmental constraints by a bundle method. - Claudia A. Sagastizábal; Mikhail V. Solodov (Comput. Manag. Sci., 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)

Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition. - Damián R. Fernández; Mikhail V. Solodov (SIAM J. Optim., 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)

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

A class of Dantzig-Wolfe type decomposition methods for variational inequality problems. - Juan Pablo Luna; Claudia A. Sagastizábal; Mikhail V. Solodov (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)

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)

A proximal bundle method for nonsmooth nonconvex functions with inexact information. - Warren L. Hare; Claudia A. Sagastizábal; 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)

An approximation scheme for a class of risk-averse stochastic equilibrium problems. - Juan Pablo Luna; Claudia A. Sagastizábal; Mikhail V. Solodov (Math. Program., 2016)

A doubly stabilized bundle method for nonsmooth convex optimization. - Welington de Oliveira 001; Mikhail V. Solodov (Math. Program., 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)

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)

Multiplier Stabilization Applied to Two-Stage Stochastic Programs. - Clara Lage; Claudia A. Sagastizábal; Mikhail V. Solodov (J. Optim. Theory Appl., 2019)

A class of Benders decomposition methods for variational inequalities. - Juan Pablo Luna; Claudia A. Sagastizábal; Mikhail V. Solodov (Comput. Optim. Appl., 2020)

On the cost of solving augmented Lagrangian subproblems. - Damián R. Fernández; Mikhail V. Solodov (Math. Program., 2020)

Decomposition Algorithms for Some Deterministic and Two-Stage Stochastic Single-Leader Multi-Follower Games. - Pedro Borges; Claudia A. Sagastizábal; Mikhail V. Solodov (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)

A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming. - Pedro Borges; Claudia A. Sagastizábal; Mikhail V. Solodov (Math. Program., 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)

A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods. - Felipe Atenas; Claudia A. Sagastizábal; Paulo J. S. Silva; Mikhail V. Solodov (SIAM J. Optim., 2023)

Special Issue: Hierarchical Optimization. - Kristin P. Bennett; Michael C. Ferris; Jong-Shi Pang; Mikhail V. Solodov; Stephen J. Wright 001 (Math. Program., 2023)

Increasing reliability of price signals in long term energy management problems. - Guillaume Erbs; Clara Lage; Claudia A. Sagastizábal; Mikhail V. Solodov (Comput. Optim. Appl., 2023)

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

Regularized Equilibrium Problems with Equilibrium Constraints with Application to Energy Markets. - Juan Pablo Luna; Claudia A. Sagastizábal; Julia Filiberti Allen; Steven A. Gabriel; Mikhail V. Solodov (SIAM J. Optim., 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)

Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions. - Mikhail V. Solodov (SIAM J. Optim., 2025)