Mikhail V. Solodov

87 papers Journal 84Unranked 3

Year	Rank	Type	Title / Venue / Authors
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`	A General Framework for Symmetric and Asymmetric Variable Metric Proximal Point Methods, with Relations between Relative-Errors and Summable-Errors. SIAM J. Optim. Emelin L. Buscaglia, Pablo A. Lotito, Lisandro A. Parente, Mikhail V. Solodov
2025	J	`jnl`	Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions. SIAM J. Optim. Mikhail V. Solodov
2025	J	`jnl`	Proximal Gradient \(\boldsymbol{\mathcal{VU}}\)-Method with Superlinear Convergence for Nonsmooth Convex Optimization. SIAM J. Optim. Shuai Liu, Claudia A. Sagastizábal, Mikhail V. Solodov
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`	A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods. SIAM J. Optim. Felipe Atenas, Claudia A. Sagastizábal, Paulo J. S. Silva, 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`	Increasing reliability of price signals in long term energy management problems. Comput. Optim. Appl. Guillaume Erbs, Clara Lage, Claudia A. Sagastizábal, Mikhail V. Solodov
2023	J	`jnl`	Regularized Equilibrium Problems with Equilibrium Constraints with Application to Energy Markets. SIAM J. Optim. Juan Pablo Luna, Claudia A. Sagastizábal, Julia Filiberti Allen, Steven A. Gabriel, Mikhail V. Solodov
2023	J	`jnl`	Special Issue: Hierarchical Optimization. Math. Program. Kristin P. Bennett, Michael C. Ferris, Jong-Shi Pang, Mikhail V. Solodov, Stephen J. Wright
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`	A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming. Math. Program. Pedro Borges, Claudia A. Sagastizábal, Mikhail V. Solodov
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`	Decomposition Algorithms for Some Deterministic and Two-Stage Stochastic Single-Leader Multi-Follower Games. Comput. Optim. Appl. Pedro Borges, Claudia A. Sagastizábal, Mikhail V. Solodov
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`	A class of Benders decomposition methods for variational inequalities. Comput. Optim. Appl. Juan Pablo Luna, Claudia A. Sagastizábal, Mikhail V. Solodov
2020	J	`jnl`	On the cost of solving augmented Lagrangian subproblems. Math. Program. Damián R. Fernández, Mikhail V. Solodov
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`	Multiplier Stabilization Applied to Two-Stage Stochastic Programs. J. Optim. Theory Appl. Clara Lage, Claudia A. Sagastizábal, Mikhail V. Solodov
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
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`	A doubly stabilized bundle method for nonsmooth convex optimization. Math. Program. Welington de Oliveira, Mikhail V. Solodov
2016	J	`jnl`	A proximal bundle method for nonsmooth nonconvex functions with inexact information. Comput. Optim. Appl. Warren L. Hare, Claudia A. Sagastizábal, Mikhail V. Solodov
2016	J	`jnl`	An approximation scheme for a class of risk-averse stochastic equilibrium problems. Math. Program. Juan Pablo Luna, Claudia A. Sagastizábal, 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`	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`	A class of Dantzig-Wolfe type decomposition methods for variational inequality problems. Math. Program. Juan Pablo Luna, Claudia A. Sagastizábal, 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
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
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`	Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition. SIAM J. Optim. Damián R. Fernández, Mikhail V. Solodov
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`	Solving generation expansion planning problems with environmental constraints by a bundle method. Comput. Manag. Sci. Claudia A. Sagastizábal, 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
2010	J	`jnl`	Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems. Math. Program. Damián R. Fernández, Mikhail V. Solodov
2009	J	`jnl`	A bundle-filter method for nonsmooth convex constrained optimization. Math. Program. Elizabeth W. Karas, Ademir A. Ribeiro, Claudia A. Sagastizábal, 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`	Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences. Math. Program. Mikhail V. Solodov
2009	J	`jnl`	Identifying Structure of Nonsmooth Convex Functions by the Bundle Technique. SIAM J. Optim. Aris Daniilidis, Claudia A. Sagastizábal, 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`	A Class of Inexact Variable Metric Proximal Point Algorithms. SIAM J. Optim. Lisandro A. Parente, Pablo A. Lotito, 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`	On local convergence of sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems. Comput. Optim. Appl. Damián R. Fernández, Mikhail V. Solodov
2007	J	`jnl`	A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems. SIAM J. Optim. Mikhail V. Solodov
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`	An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter. SIAM J. Optim. Claudia A. Sagastizábal, Mikhail V. Solodov
2004	J	`jnl`	A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. Optim. Methods Softw. Mikhail V. Solodov
2004	J	`jnl`	Foreword: special issue for the 70th birthday of professor Olvi Mangasarian. Optim. Methods Softw. Michael C. Ferris, Mikhail V. Solodov
2004	J	`jnl`	Newton-Type Methods for Optimization Problems without Constraint Qualifications. SIAM J. Optim. Alexey F. Izmailov, Mikhail V. Solodov
2004	J	`jnl`	On the Sequential Quadratically Constrained Quadratic Programming Methods. Math. Oper. Res. Mikhail V. Solodov
2003	J	`jnl`	Convergence rate analysis of iteractive algorithms for solving variational inequality problems. Math. Program. 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`	A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Optim. Methods Softw. Mikhail V. Solodov, Benar Fux Svaiter
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`	Parallel Variable Distribution for Constrained Optimization. Comput. Optim. Appl. Claudia A. Sagastizábal, Mikhail V. Solodov
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
2000	J	`jnl`	A Truly Globally Convergent Newton-Type Method for the Monotone Nonlinear Complementarity Problem. SIAM J. Optim. Mikhail V. Solodov, Benar Fux Svaiter
2000	J	`jnl`	An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions. Math. Oper. Res. Mikhail V. Solodov, Benar Fux Svaiter
2000	J	`jnl`	Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Math. Program. Mikhail V. Solodov, Benar Fux Svaiter
2000	J	`jnl`	Forcing strong convergence of proximal point iterations in a Hilbert space. Math. Program. Mikhail V. Solodov, Benar Fux Svaiter
1999	J	`jnl`	A Linearly Convergent Derivative-Free Descent Method for Strongly Monotone Complementarity Problems. Comput. Optim. Appl. Olvi L. Mangasarian, Mikhail V. Solodov
1999	—	`conf`	Parallel Constrained Optimization via Distribution of Variables. Euro-Par Claudia A. Sagastizábal, Mikhail V. Solodov
1998	J	`jnl`	Incremental Gradient Algorithms with Stepsizes Bounded Away from Zero. Comput. Optim. Appl. Mikhail V. Solodov
1998	J	`jnl`	On the projected subgradient method for nonsmooth convex optimization in a Hilbert space. Math. Program. Ya. I. Alber, Alfredo N. Iusem, Mikhail V. Solodov
1994	J	`jnl`	New Error Bounds for the Linear Complementarity Problem. Math. Oper. Res. Z.-Q. Luo, O. L. Mangasarian, J. Ren, Mikhail V. Solodov
1993	—	`conf`	Backpropagation Convergence via Deterministic Nonmonotone Perturbed Minimization. NIPS Olvi L. Mangasarian, Mikhail V. Solodov
1993	J	`jnl`	Nonlinear complementarity as unconstrained and constrained minimization. Math. Program. Olvi L. Mangasarian, Mikhail V. Solodov