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ORCIDMikhail V. Solodov
Michael V. Solodov
Person information
- affiliation: National Institute for Pure and Applied Mathematics, Rio de Janeiro, Brazil
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2020 – today
- 2025
[j85]Mikhail V. Solodov:
Convergence Properties of Proximal (Sub)gradient Methods without Convexity or Smoothness of Any of the Functions. SIAM J. Optim. 35(1): 28-41 (2025)- 2024
- [j84]Andreas Fischer, Alexey F. Izmailov
, Mikhail V. Solodov:
The Levenberg-Marquardt method: an overview of modern convergence theories and more. Comput. Optim. Appl. 89(1): 33-67 (2024) - [j83]Alexey F. Izmailov, Mikhail V. Solodov:
On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations. J. Optim. Theory Appl. 203(2): 1103-1126 (2024) - 2023
- [j82]Guillaume Erbs, Clara Lage, Claudia A. Sagastizábal, Mikhail V. Solodov:
Increasing reliability of price signals in long term energy management problems. Comput. Optim. Appl. 85(3): 787-820 (2023) - [j81]Alexey F. Izmailov, Mikhail V. Solodov:
Convergence rate estimates for penalty methods revisited. Comput. Optim. Appl. 85(3): 973-992 (2023) - [j80]Kristin P. Bennett, Michael C. Ferris, Jong-Shi Pang, Mikhail V. Solodov, Stephen J. Wright:
Special Issue: Hierarchical Optimization. Math. Program. 198(2): 1121-1123 (2023) - [j79]Felipe Atenas, Claudia A. Sagastizábal, Paulo J. S. Silva, Mikhail V. Solodov:
A Unified Analysis of Descent Sequences in Weakly Convex Optimization, Including Convergence Rates for Bundle Methods. SIAM J. Optim. 33(1): 89-115 (2023) - [j78]Juan Pablo Luna, Claudia A. Sagastizábal, Julia Filiberti Allen, Steven A. Gabriel, Mikhail V. Solodov:
Regularized Equilibrium Problems with Equilibrium Constraints with Application to Energy Markets. SIAM J. Optim. 33(3): 1767-1796 (2023) - 2022
- [j77]Alexey F. Izmailov, Mikhail V. Solodov:
Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants. J. Optim. Theory Appl. 193(1): 491-522 (2022) - 2021
- [j76]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations. Comput. Optim. Appl. 78(1): 273-286 (2021) - [j75]Pedro Borges, Claudia A. Sagastizábal, Mikhail V. Solodov:
Decomposition Algorithms for Some Deterministic and Two-Stage Stochastic Single-Leader Multi-Follower Games. Comput. Optim. Appl. 78(3): 675-704 (2021) - [j74]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Unit stepsize for the Newton method close to critical solutions. Math. Program. 187(1): 697-721 (2021) - [j73]Pedro Borges, Claudia A. Sagastizábal, Mikhail V. Solodov:
A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming. Math. Program. 189(1): 117-149 (2021) - 2020
- [j72]Juan Pablo Luna, Claudia A. Sagastizábal, Mikhail V. Solodov:
A class of Benders decomposition methods for variational inequalities. Comput. Optim. Appl. 76(3): 935-959 (2020) - [j71]Damián R. Fernández, Mikhail V. Solodov:
On the cost of solving augmented Lagrangian subproblems. Math. Program. 182(1): 37-55 (2020)
2010 – 2019
- 2019
- [j70]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
A globally convergent Levenberg-Marquardt method for equality-constrained optimization. Comput. Optim. Appl. 72(1): 215-239 (2019) - [j69]Andreas Fischer, Alexey F. Izmailov, Mikhail V. Solodov:
Local Attractors of Newton-Type Methods for Constrained Equations and Complementarity Problems with Nonisolated Solutions. J. Optim. Theory Appl. 180(1): 140-169 (2019) - [j68]Clara Lage, Claudia A. Sagastizábal, Mikhail V. Solodov:
Multiplier Stabilization Applied to Two-Stage Stochastic Programs. J. Optim. Theory Appl. 183(1): 158-178 (2019) - 2018
- [j67]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Wladimir Scheck, Mikhail V. Solodov:
A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. Comput. Optim. Appl. 69(2): 325-349 (2018) - [j66]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Critical solutions of nonlinear equations: local attraction for Newton-type methods. Math. Program. 167(2): 355-379 (2018) - [j65]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Critical solutions of nonlinear equations: stability issues. Math. Program. 168(1-2): 475-507 (2018) - 2016
- [j64]Warren L. Hare, Claudia A. Sagastizábal, Mikhail V. Solodov:
A proximal bundle method for nonsmooth nonconvex functions with inexact information. Comput. Optim. Appl. 63(1): 1-28 (2016) - [j63]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov:
Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Comput. Optim. Appl. 63(2): 425-459 (2016) - [j62]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function. J. Optim. Theory Appl. 169(1): 148-178 (2016) - [j61]Welington de Oliveira, Mikhail V. Solodov:
A doubly stabilized bundle method for nonsmooth convex optimization. Math. Program. 156(1-2): 125-159 (2016) - [j60]Juan Pablo Luna, Claudia A. Sagastizábal, Mikhail V. Solodov:
An approximation scheme for a class of risk-averse stochastic equilibrium problems. Math. Program. 157(2): 451-481 (2016) - [j59]Alexey F. Izmailov, Mikhail V. Solodov:
Some new facts about sequential quadratic programming methods employing second derivatives. Optim. Methods Softw. 31(6): 1111-1131 (2016) - [j58]Andreas Fischer, Markus Herrich, Alexey F. Izmailov, Mikhail V. Solodov:
A Globally Convergent LP-Newton Method. SIAM J. Optim. 26(4): 2012-2033 (2016) - 2015
- [j57]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. Comput. Optim. Appl. 60(1): 111-140 (2015) - [j56]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Combining stabilized SQP with the augmented Lagrangian algorithm. Comput. Optim. Appl. 62(2): 405-429 (2015) - [j55]Alexey F. Izmailov, Mikhail V. Solodov:
Newton-Type Methods: A Broader View. J. Optim. Theory Appl. 164(2): 577-620 (2015) - [j54]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. Optim. Methods Softw. 30(3): 461-477 (2015) - 2014
- [j53]Alexey F. Izmailov, Mikhail V. Solodov:
On error bounds and Newton-type methods for generalized Nash equilibrium problems. Comput. Optim. Appl. 59(1-2): 201-218 (2014) - [j52]Juan Pablo Luna, Claudia A. Sagastizábal, Mikhail V. Solodov:
A class of Dantzig-Wolfe type decomposition methods for variational inequality problems. Math. Program. 143(1-2): 177-209 (2014) - 2013
- [j51]Alexey F. Izmailov, Alexey S. Kurennoy, Mikhail V. Solodov:
A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. Math. Program. 142(1-2): 591-604 (2013) - 2012
- [j50]Claudia A. Sagastizábal, Mikhail V. Solodov:
Solving generation expansion planning problems with environmental constraints by a bundle method. Comput. Manag. Sci. 9(2): 163-182 (2012) - [j49]Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov:
Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. Comput. Optim. Appl. 51(1): 199-221 (2012) - [j48]Alexey F. Izmailov, Mikhail V. Solodov:
Stabilized SQP revisited. Math. Program. 133(1-2): 93-120 (2012) - [j47]Damián R. Fernández, Mikhail V. Solodov:
Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition. SIAM J. Optim. 22(2): 384-407 (2012) - [j46]Alexey F. Izmailov, Mikhail V. Solodov, E. I. Uskov:
Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints. SIAM J. Optim. 22(4): 1579-1606 (2012) - 2011
- [j45]Alexey F. Izmailov, Mikhail V. Solodov:
On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. Math. Program. 126(2): 231-257 (2011) - [j44]Alexey F. Izmailov, A. L. Pogosyan, Mikhail V. Solodov:
Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. Optim. Methods Softw. 26(4-5): 847-872 (2011) - 2010
- [j43]Alexey F. Izmailov, Mikhail V. Solodov:
Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Comput. Optim. Appl. 46(2): 347-368 (2010) - [j42]Damián R. Fernández, Mikhail V. Solodov:
Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems. Math. Program. 125(1): 47-73 (2010) - [j41]Alexey F. Izmailov, Mikhail V. Solodov:
A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems. SIAM J. Optim. 20(5): 2584-2613 (2010) - [j40]Damián R. Fernández, Alexey F. Izmailov, Mikhail V. Solodov:
Sharp Primal Superlinear Convergence Results for Some Newtonian Methods for Constrained Optimization. SIAM J. Optim. 20(6): 3312-3334 (2010)
2000 – 2009
- 2009
- [j39]Alexey F. Izmailov, Mikhail V. Solodov:
Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. Comput. Optim. Appl. 42(2): 231-264 (2009) - [j38]Alexey F. Izmailov, Mikhail V. Solodov:
Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method. J. Optimization Theory and Applications 142(3): 501-532 (2009) - [j37]Elizabeth W. Karas, Ademir A. Ribeiro, Claudia A. Sagastizábal, Mikhail V. Solodov:
A bundle-filter method for nonsmooth convex constrained optimization. Math. Program. 116(1-2): 297-320 (2009) - [j36]Alexey F. Izmailov, Mikhail V. Solodov:
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Math. Program. 117(1-2): 271-304 (2009) - [j35]Mikhail V. Solodov:
Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences. Math. Program. 118(1): 1-12 (2009) - [j34]Aris Daniilidis, Claudia A. Sagastizábal, Mikhail V. Solodov:
Identifying Structure of Nonsmooth Convex Functions by the Bundle Technique. SIAM J. Optim. 20(2): 820-840 (2009) - [r1]Michael V. Solodov:
Implicit Lagrangian. Encyclopedia of Optimization 2009: 1567-1571 - 2008
- [j33]Damián R. Fernández, Mikhail V. Solodov:
On local convergence of sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems. Comput. Optim. Appl. 39(2): 143-160 (2008) - [j32]Lisandro A. Parente, Pablo A. Lotito, Mikhail V. Solodov:
A Class of Inexact Variable Metric Proximal Point Algorithms. SIAM J. Optim. 19(1): 240-260 (2008) - [j31]Alexey F. Izmailov, Mikhail V. Solodov:
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints. SIAM J. Optim. 19(3): 1003-1027 (2008) - 2007
- [j30]Mikhail V. Solodov:
A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems. SIAM J. Optim. 18(1): 242-259 (2007) - 2005
- [j29]Alexey F. Izmailov, Mikhail V. Solodov:
A note on solution sensitivity for Karush-Kuhn-Tucker systems. Math. Methods Oper. Res. 61(3): 347-363 (2005) - [j28]A. N. Daryina, Alexey F. Izmailov, Mikhail V. Solodov:
A Class of Active-Set Newton Methods for Mixed ComplementarityProblems. SIAM J. Optim. 15(2): 409-429 (2005) - [j27]Claudia A. Sagastizábal, Mikhail V. Solodov:
An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter. SIAM J. Optim. 16(1): 146-169 (2005) - 2004
- [j26]Mikhail V. Solodov:
On the Sequential Quadratically Constrained Quadratic Programming Methods. Math. Oper. Res. 29(1): 64-79 (2004) - [j25]Michael C. Ferris, Mikhail V. Solodov:
Foreword: special issue for the 70th birthday of professor Olvi Mangasarian. Optim. Methods Softw. 19(5): 439-441 (2004) - [j24]Mikhail V. Solodov:
A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. Optim. Methods Softw. 19(5): 557-575 (2004) - [j23]Alexey F. Izmailov, Mikhail V. Solodov:
Newton-Type Methods for Optimization Problems without Constraint Qualifications. SIAM J. Optim. 15(1): 210-228 (2004) - 2003
- [j22]Alexey F. Izmailov, Mikhail V. Solodov:
Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. Math. Program. 95(3): 631-650 (2003) - [j21]Mikhail V. Solodov:
Convergence rate analysis of iteractive algorithms for solving variational inequality problems. Math. Program. 96(3): 513-528 (2003) - 2002
- [j20]Claudia A. Sagastizábal, Mikhail V. Solodov:
Parallel Variable Distribution for Constrained Optimization. Comput. Optim. Appl. 22(1): 111-131 (2002) - [j19]Alexey F. Izmailov, Mikhail V. Solodov:
The Theory of 2-Regularity for Mappings with Lipschitzian Deriatives and its Applications to Optimality Conditions. Math. Oper. Res. 27(3): 614-635 (2002) - [j18]Mikhail V. Solodov, Benar Fux Svaiter:
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Optim. Methods Softw. 17(5): 965-983 (2002) - [j17]Alexey F. Izmailov, Mikhail V. Solodov:
Optimality Conditions for Irregular Inequality-Constrained Problems. SIAM J. Control. Optim. 40(4): 1280-1295 (2002) - [j16]Alexey F. Izmailov, Mikhail V. Solodov:
Complementarity Constraint Qualification via the Theory of 2-Regularity. SIAM J. Optim. 13(2): 368-385 (2002) - [j15]Alexey F. Izmailov, Mikhail V. Solodov:
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems. SIAM J. Optim. 13(2): 386-405 (2002) - [c3]Alexey F. Izmailov, Mikhail V. Solodov:
On optimality conditions for cone-constrained optimization. CDC 2002: 3162-3167 - 2001
- [j14]Alexey F. Izmailov, Mikhail V. Solodov:
Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Math. Program. 89(3): 413-435 (2001) - 2000
- [j13]Michael V. Solodov, Paul Tseng:
Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities. Comput. Optim. Appl. 17(2-3): 255-277 (2000) - [j12]Mikhail V. Solodov, Benar Fux Svaiter:
An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions. Math. Oper. Res. 25(2): 214-230 (2000) - [j11]Mikhail V. Solodov, Benar Fux Svaiter:
Forcing strong convergence of proximal point iterations in a Hilbert space. Math. Program. 87(1): 189-202 (2000) - [j10]Mikhail V. Solodov, Benar Fux Svaiter:
Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Math. Program. 88(2): 371-389 (2000) - [j9]Mikhail V. Solodov, Benar Fux Svaiter:
A Truly Globally Convergent Newton-Type Method for the Monotone Nonlinear Complementarity Problem. SIAM J. Optim. 10(2): 605-625 (2000)
1990 – 1999
- 1999
- [j8]Michael V. Solodov:
Some Optimization Reformulations of the Extended Linear Complementarity Problem. Comput. Optim. Appl. 13(1-3): 187-200 (1999) - [j7]Olvi L. Mangasarian, Mikhail V. Solodov:
A Linearly Convergent Derivative-Free Descent Method for Strongly Monotone Complementarity Problems. Comput. Optim. Appl. 14(1): 5-16 (1999) - [c2]Claudia A. Sagastizábal, Mikhail V. Solodov:
Parallel Constrained Optimization via Distribution of Variables. Euro-Par 1999: 1112-1119 - 1998
- [j6]Mikhail V. Solodov:
Incremental Gradient Algorithms with Stepsizes Bounded Away from Zero. Comput. Optim. Appl. 11(1): 23-35 (1998) - [j5]Ya. I. Alber, Alfredo N. Iusem, Mikhail V. Solodov:
On the projected subgradient method for nonsmooth convex optimization in a Hilbert space. Math. Program. 81: 23-35 (1998) - [j4]Michael V. Solodov:
On the Convergence of Constrained Parallel Variable Distribution Algorithms. SIAM J. Optim. 8(1): 187-196 (1998) - 1997
- [j3]Michael V. Solodov:
New Inexact Parallel Variable Distribution Algorithms. Comput. Optim. Appl. 7(2): 165-182 (1997) - 1994
- [j2]Z.-Q. Luo, O. L. Mangasarian, J. Ren, Mikhail V. Solodov:
New Error Bounds for the Linear Complementarity Problem. Math. Oper. Res. 19(4): 880-892 (1994) - 1993
- [j1]Olvi L. Mangasarian, Mikhail V. Solodov:
Nonlinear complementarity as unconstrained and constrained minimization. Math. Program. 62: 277-297 (1993) - [c1]Olvi L. Mangasarian, Mikhail V. Solodov:
Backpropagation Convergence via Deterministic Nonmonotone Perturbed Minimization. NIPS 1993: 383-390
Coauthor Index
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