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Solodov, Mikhail V.

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Author ID: solodov.mikhail-v Recent zbMATH articles by "Solodov, Mikhail V."
Published as: Solodov, M. V.; Solodov, Mikhail; Solodov, Mikhail V.; Solodov, M.
Documents Indexed: 100 Publications since 1993, including 5 Books

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 1,741 times in 437 Documents Cited by Year
A new projection method for variational inequality problems. Zbl 0959.49007
Solodov, M. V.; Svaiter, B. F.
208
1999
Forcing strong convergence of proximal point iterations in a Hilbert space. Zbl 0971.90062
Solodov, M. V.; Svaiter, B. F.
172
2000
A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator. Zbl 0959.90038
Solodov, M. V.; Svaiter, B. F.
100
1999
A hybrid projection-proximal point algorithm. Zbl 0961.90128
Solodov, M. V.; Svaiter, B. F.
82
1999
Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117
Mangasarian, O. L.; Solodov, M. V.
80
1993
A unified framework for some inexact proximal point algorithms. Zbl 1052.49013
Solodov, M. V.; Svaiter, B. F.
71
2001
Newton-type methods for optimization and variational problems. Zbl 1304.49001
Izmailov, Alexey F.; Solodov, Mikhail V.
44
2014
An explicit descent method for bilevel convex optimization. Zbl 1145.90081
Solodov, Mikhail
37
2007
A bundle-filter method for nonsmooth convex constrained optimization. Zbl 1165.90024
Karas, Elizabeth; Ribeiro, Ademir; Sagastizábal, Claudia; Solodov, Mikhail
37
2009
Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Zbl 0963.90064
Solodov, M. V.; Svaiter, B. F.
36
2000
An infeasible bundle method for nonsmooth convex constrained optimization without a penalty function or a filter. Zbl 1114.90093
Sagastizábal, Claudia; Solodov, Mikhail
35
2005
Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems. Zbl 1203.90144
Fernández, Damián; Solodov, Mikhail
34
2010
Stabilized SQP revisited. Zbl 1245.90145
Izmailov, A. F.; Solodov, M. V.
33
2012
A proximal bundle method for nonsmooth nonconvex functions with inexact information. Zbl 1343.90069
Hare, W.; Sagastizábal, C.; Solodov, M.
26
2016
Error stability properties of generalized gradient-type algorithms. Zbl 0913.90245
Solodov, M. V.; Zavriev, S. K.
25
1998
Mathematical programs with vanishing constraints: Optimality conditions, sensitivity, and a relaxation method. Zbl 1180.90312
Izmailov, A. F.; Solodov, M. V.
24
2009
New error bounds for the linear complementarity problem. Zbl 0833.90113
Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V.
23
1994
Merit functions and error bounds for generalized variational inequalities. Zbl 1036.49020
Solodov, M. V.
23
2003
A class of active-set Newton methods for mixed complementarity problems. Zbl 1077.90064
Daryina, A. N.; Izmailov, A. F.; Solodov, M. V.
23
2004
Incremental gradient algorithms with stepsizes bounded away from zero. Zbl 0915.65061
Solodov, M. V.
22
1998
Convergence rate analysis of iteractive algorithms for solving variational inequality problems. Zbl 1042.49008
Solodov, M. V.
22
2003
On the sequential quadratically constrained quadratic programming methods. Zbl 1082.90140
Solodov, M. V.
22
2004
On approximations with finite precision in bundle methods for nonsmooth optimization. Zbl 1094.90046
Solodov, M. V.
21
2003
An active-set Newton method for mathematical programs with complementarity constraints. Zbl 1201.90193
Izmailov, A. F.; Solodov, M. V.
21
2008
A class of inexact variable metric proximal point algorithms. Zbl 1190.90216
Parente, L. A.; Lotito, P. A.; Solodov, M. V.
20
2008
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Zbl 1163.90025
Izmailov, A. F.; Solodov, M. V.
19
2009
Local convergence of exact and inexact augmented Lagrangian methods under the second-order sufficient optimality condition. Zbl 1259.90132
Fernández, D.; Solodov, M. V.
19
2012
Newton-type methods for optimization problems without constraint qualifications. Zbl 1106.90077
Izmailov, A. F.; Solodov, M. V.
18
2004
Global convergence of augmented Lagrangian methods applied to optimization problems with degenerate constraints, including problems with complementarity constraints. Zbl 1274.90385
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
18
2012
On error bounds and Newton-type methods for generalized Nash equilibrium problems. Zbl 1307.91118
Izmailov, Alexey F.; Solodov, Mikhail V.
18
2014
On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. Zbl 1218.90184
Izmailov, A. F.; Solodov, M. V.
17
2011
A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. Zbl 1282.90177
Izmailov, Alexey F.; Kurennoy, Alexey S.; Solodov, Mikhail V.
17
2013
A truly globally convergent Newton-type method for the monotone nonlinear complementarity problem. Zbl 0955.90133
Solodov, M. V.; Svaiter, B. F.
16
2000
The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions. Zbl 1082.90136
Izmailov, A. F.; Solodov, M. V.
16
2002
Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences. Zbl 1176.90579
Solodov, Mikhail V.
16
2009
A doubly stabilized bundle method for nonsmooth convex optimization. Zbl 1346.90675
de Oliveira, Welington; Solodov, Mikhail
16
2016
A bundle method for a class of bilevel nonsmooth convex minimization problems. Zbl 1145.90082
Solodov, Mikhail V.
14
2007
A class of variable metric decomposition methods for monotone variational inclusions. Zbl 1183.49011
Lotito, P. A.; Parente, L. A.; Solodov, M.
13
2009
Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1317.90279
Izmailov, A. F.; Solodov, M. V.
13
2015
Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. Zbl 1245.90124
Izmailov, A. F.; Pogosyan, A. L.; Solodov, M. V.
12
2012
Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. Zbl 1180.90362
Izmailov, A. F.; Solodov, M. V.
12
2009
Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. Zbl 1023.90063
Izmailov, A. F.; Solodov, M. V.
11
2003
A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. Zbl 1097.90041
Solodov, M. V.
11
2004
Combining stabilized SQP with the augmented Lagrangian algorithm. Zbl 1353.90144
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
11
2015
Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function. Zbl 1360.65167
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
11
2016
Optimality conditions for irregular inequality-constrained problems. Zbl 1102.90376
Izmailov, A. F.; Solodov, M. V.
10
2001
Parallel variable distribution for constrained optimization. Zbl 1007.90063
Sagastizábal, C. A.; Solodov, M. V.
10
2002
Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Zbl 1360.90247
Fischer, Andreas; Herrich, Markus; Izmailov, Alexey F.; Solodov, Mikhail V.
10
2016
The Josephy-Newton method for semismooth generalized equations and semismooth SQP for optimization. Zbl 1285.90065
Izmailov, Alexey F.; Kurennoy, Alexey S.; Solodov, Mikhail V.
9
2013
Identifying structure of nonsmooth convex functions by the bundle technique. Zbl 1191.90066
Daniilidis, Aris; Sagastizábal, Claudia; Solodov, Mikhail
9
2009
Newton-type methods: a broader view. Zbl 1310.65063
Izmailov, A. F.; Solodov, M. V.
9
2015
Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Zbl 1023.90062
Izmailov, A. F.; Solodov, M. V.
8
2001
A truncated SQP method based on inexact interior-point solutions of subproblems. Zbl 1211.90233
Izmailov, A. F.; Solodov, M. V.
8
2010
An approximation scheme for a class of risk-averse stochastic equilibrium problems. Zbl 1414.91293
Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail
8
2016
A globally convergent LP-Newton method. Zbl 1348.90583
Fischer, Andreas; Herrich, Markus; Izmailov, Alexey F.; Solodov, Mikhail V.
8
2016
Convergence analysis of perturbed feasible descent methods. Zbl 0899.90149
Solodov, M. V.
7
1997
A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115
Mangasarian, O. L.; Solodov, M. V.
7
1999
Numerical methods of optimization. (Chislennye metody optimizatsii.) Zbl 1055.65075
Izmailov, A. F.; Solodov, M. V.
7
2003
Superlinearly convergent algorithms for solving singular equations and smooth reformulations of complementarity problems. Zbl 1026.90085
Izmailov, A. F.; Solodov, M. V.
7
2002
Sharp primal superlinear convergence results for some Newtonian methods for constrained optimization. Zbl 1235.90147
Fernández, D.; Izmailov, A. F.; Solodov, M. V.
7
2010
Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Zbl 1220.90165
Izmailov, A. F.; Solodov, M. V.
7
2010
On local convergence of sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems. Zbl 1144.90457
Fernández, Damián; Solodov, Mikhail
7
2008
Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. Zbl 1338.90408
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
7
2015
Stationary points of bound constrained minimization reformulations of complementarity problems. Zbl 0893.90161
Solodov, M. V.
6
1997
A class of Dantzig-Wolfe type decomposition methods for variational inequality problems. Zbl 1286.90112
Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail
6
2014
Critical solutions of nonlinear equations: local attraction for Newton-type methods. Zbl 1404.90128
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
5
2018
Critical solutions of nonlinear equations: stability issues. Zbl 1396.90086
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
5
2018
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Zbl 1020.49016
Solodov, M. V.; Svaiter, B. F.
4
2002
Numerical results for a globalized active-set Newton method for mixed complementarity problems. Zbl 1213.90226
Daryina, A. N.; Izmailov, A. F.; Solodov, M. V.
4
2005
Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1329.90139
Izmailov, A. F.; Solodov, M. V.
4
2015
Mixed complementary problems: regularity, estimates of the distance to the solution, and Newton’s Methods. Zbl 1105.49014
Dar’ina, A. N.; Izmailov, A. F.; Solodov, M. V.
3
2004
Complementarity constraint qualification via the theory of 2-regularity. Zbl 1026.90084
Izmailov, A. F.; Solodov, M. V.
3
2002
Descent methods with linesearch in the presence of perturbations. Zbl 0877.65039
Solodov, M. V.; Svaiter, B. F.
3
1997
Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. Zbl 1327.90313
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
3
2015
A class of globally convergent algorithms for pseudomonotone variational inequalities. Zbl 0987.65061
Solodov, M. V.
2
2001
Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. Zbl 1254.90228
Izmailov, A. F.; Pogosyan, A. L.; Solodov, M. V.
2
2011
On the relation between bundle methods for maximal monotone inclusions and hybrid proximal point algorithms. Zbl 0991.65046
Sagastizábal, Claudia A.; Solodov, Mikhail V.
1
2001
A note on solution sensitivity for Karush-Kuhn-Tucker systems. Zbl 1114.90132
Izmailov, A. F.; Solodov, M. V.
1
2005
A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. Zbl 1415.90128
Fischer, A.; Herrich, M.; Izmailov, A. F.; Scheck, W.; Solodov, M. V.
1
2018
Solving generation expansion planning problems with environmental constraints by a bundle method. Zbl 1273.90258
Sagastizábal, Claudia; Solodov, Mikhail
1
2012
A note on error estimates for some interior penalty methods. Zbl 1101.90084
Izmailov, A. F.; Solodov, M. V.
1
2006
Primal error bounds based on the augmented Lagrangian and Lagrangian relaxation algorithms. Zbl 1124.90032
Izmailov, A. F.; Solodov, M. V.
1
2006
Optimization. Vol. 2. Computational methods. 2nd edition. (Otimização. Vol. 2. Métodos computacionais.) Zbl 1405.90002
Izmailov, Alexey; Solodov, Mikhail
1
2012
Critical solutions of nonlinear equations: local attraction for Newton-type methods. Zbl 1404.90128
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
5
2018
Critical solutions of nonlinear equations: stability issues. Zbl 1396.90086
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
5
2018
A globally convergent LP-Newton method for piecewise smooth constrained equations: escaping nonstationary accumulation points. Zbl 1415.90128
Fischer, A.; Herrich, M.; Izmailov, A. F.; Scheck, W.; Solodov, M. V.
1
2018
A proximal bundle method for nonsmooth nonconvex functions with inexact information. Zbl 1343.90069
Hare, W.; Sagastizábal, C.; Solodov, M.
26
2016
A doubly stabilized bundle method for nonsmooth convex optimization. Zbl 1346.90675
de Oliveira, Welington; Solodov, Mikhail
16
2016
Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function. Zbl 1360.65167
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
11
2016
Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Zbl 1360.90247
Fischer, Andreas; Herrich, Markus; Izmailov, Alexey F.; Solodov, Mikhail V.
10
2016
An approximation scheme for a class of risk-averse stochastic equilibrium problems. Zbl 1414.91293
Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail
8
2016
A globally convergent LP-Newton method. Zbl 1348.90583
Fischer, Andreas; Herrich, Markus; Izmailov, Alexey F.; Solodov, Mikhail V.
8
2016
Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1317.90279
Izmailov, A. F.; Solodov, M. V.
13
2015
Combining stabilized SQP with the augmented Lagrangian algorithm. Zbl 1353.90144
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
11
2015
Newton-type methods: a broader view. Zbl 1310.65063
Izmailov, A. F.; Solodov, M. V.
9
2015
Local convergence of the method of multipliers for variational and optimization problems under the noncriticality assumption. Zbl 1338.90408
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
7
2015
Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it. Zbl 1329.90139
Izmailov, A. F.; Solodov, M. V.
4
2015
Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. Zbl 1327.90313
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V.
3
2015
Newton-type methods for optimization and variational problems. Zbl 1304.49001
Izmailov, Alexey F.; Solodov, Mikhail V.
44
2014
On error bounds and Newton-type methods for generalized Nash equilibrium problems. Zbl 1307.91118
Izmailov, Alexey F.; Solodov, Mikhail V.
18
2014
A class of Dantzig-Wolfe type decomposition methods for variational inequality problems. Zbl 1286.90112
Luna, Juan Pablo; Sagastizábal, Claudia; Solodov, Mikhail
6
2014
A note on upper Lipschitz stability, error bounds, and critical multipliers for Lipschitz-continuous KKT systems. Zbl 1282.90177
Izmailov, Alexey F.; Kurennoy, Alexey S.; Solodov, Mikhail V.
17
2013
The Josephy-Newton method for semismooth generalized equations and semismooth SQP for optimization. Zbl 1285.90065
Izmailov, Alexey F.; Kurennoy, Alexey S.; Solodov, Mikhail V.
9
2013
Stabilized SQP revisited. Zbl 1245.90145
Izmailov, A. F.; Solodov, M. V.
33
2012
Local convergence of exact and inexact augmented Lagrangian methods under the second-order sufficient optimality condition. Zbl 1259.90132
Fernández, D.; Solodov, M. V.
19
2012
Global convergence of augmented Lagrangian methods applied to optimization problems with degenerate constraints, including problems with complementarity constraints. Zbl 1274.90385
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I.
18
2012
Semismooth Newton method for the lifted reformulation of mathematical programs with complementarity constraints. Zbl 1245.90124
Izmailov, A. F.; Pogosyan, A. L.; Solodov, M. V.
12
2012
Solving generation expansion planning problems with environmental constraints by a bundle method. Zbl 1273.90258
Sagastizábal, Claudia; Solodov, Mikhail
1
2012
Optimization. Vol. 2. Computational methods. 2nd edition. (Otimização. Vol. 2. Métodos computacionais.) Zbl 1405.90002
Izmailov, Alexey; Solodov, Mikhail
1
2012
On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers. Zbl 1218.90184
Izmailov, A. F.; Solodov, M. V.
17
2011
Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. Zbl 1254.90228
Izmailov, A. F.; Pogosyan, A. L.; Solodov, M. V.
2
2011
Stabilized sequential quadratic programming for optimization and a stabilized Newton-type method for variational problems. Zbl 1203.90144
Fernández, Damián; Solodov, Mikhail
34
2010
A truncated SQP method based on inexact interior-point solutions of subproblems. Zbl 1211.90233
Izmailov, A. F.; Solodov, M. V.
8
2010
Sharp primal superlinear convergence results for some Newtonian methods for constrained optimization. Zbl 1235.90147
Fernández, D.; Izmailov, A. F.; Solodov, M. V.
7
2010
Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization. Zbl 1220.90165
Izmailov, A. F.; Solodov, M. V.
7
2010
A bundle-filter method for nonsmooth convex constrained optimization. Zbl 1165.90024
Karas, Elizabeth; Ribeiro, Ademir; Sagastizábal, Claudia; Solodov, Mikhail
37
2009
Mathematical programs with vanishing constraints: Optimality conditions, sensitivity, and a relaxation method. Zbl 1180.90312
Izmailov, A. F.; Solodov, M. V.
24
2009
On attraction of Newton-type iterates to multipliers violating second-order sufficiency conditions. Zbl 1163.90025
Izmailov, A. F.; Solodov, M. V.
19
2009
Global convergence of an SQP method without boundedness assumptions on any of the iterative sequences. Zbl 1176.90579
Solodov, Mikhail V.
16
2009
A class of variable metric decomposition methods for monotone variational inclusions. Zbl 1183.49011
Lotito, P. A.; Parente, L. A.; Solodov, M.
13
2009
Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints. Zbl 1180.90362
Izmailov, A. F.; Solodov, M. V.
12
2009
Identifying structure of nonsmooth convex functions by the bundle technique. Zbl 1191.90066
Daniilidis, Aris; Sagastizábal, Claudia; Solodov, Mikhail
9
2009
An active-set Newton method for mathematical programs with complementarity constraints. Zbl 1201.90193
Izmailov, A. F.; Solodov, M. V.
21
2008
A class of inexact variable metric proximal point algorithms. Zbl 1190.90216
Parente, L. A.; Lotito, P. A.; Solodov, M. V.
20
2008
On local convergence of sequential quadratically-constrained quadratic-programming type methods, with an extension to variational problems. Zbl 1144.90457
Fernández, Damián; Solodov, Mikhail
7
2008
An explicit descent method for bilevel convex optimization. Zbl 1145.90081
Solodov, Mikhail
37
2007
A bundle method for a class of bilevel nonsmooth convex minimization problems. Zbl 1145.90082
Solodov, Mikhail V.
14
2007
A note on error estimates for some interior penalty methods. Zbl 1101.90084
Izmailov, A. F.; Solodov, M. V.
1
2006
Primal error bounds based on the augmented Lagrangian and Lagrangian relaxation algorithms. Zbl 1124.90032
Izmailov, A. F.; Solodov, M. V.
1
2006
An infeasible bundle method for nonsmooth convex constrained optimization without a penalty function or a filter. Zbl 1114.90093
Sagastizábal, Claudia; Solodov, Mikhail
35
2005
Numerical results for a globalized active-set Newton method for mixed complementarity problems. Zbl 1213.90226
Daryina, A. N.; Izmailov, A. F.; Solodov, M. V.
4
2005
A note on solution sensitivity for Karush-Kuhn-Tucker systems. Zbl 1114.90132
Izmailov, A. F.; Solodov, M. V.
1
2005
A class of active-set Newton methods for mixed complementarity problems. Zbl 1077.90064
Daryina, A. N.; Izmailov, A. F.; Solodov, M. V.
23
2004
On the sequential quadratically constrained quadratic programming methods. Zbl 1082.90140
Solodov, M. V.
22
2004
Newton-type methods for optimization problems without constraint qualifications. Zbl 1106.90077
Izmailov, A. F.; Solodov, M. V.
18
2004
A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. Zbl 1097.90041
Solodov, M. V.
11
2004
Mixed complementary problems: regularity, estimates of the distance to the solution, and Newton’s Methods. Zbl 1105.49014
Dar’ina, A. N.; Izmailov, A. F.; Solodov, M. V.
3
2004
Merit functions and error bounds for generalized variational inequalities. Zbl 1036.49020
Solodov, M. V.
23
2003
Convergence rate analysis of iteractive algorithms for solving variational inequality problems. Zbl 1042.49008
Solodov, M. V.
22
2003
On approximations with finite precision in bundle methods for nonsmooth optimization. Zbl 1094.90046
Solodov, M. V.
21
2003
Karush-Kuhn-Tucker systems: regularity conditions, error bounds and a class of Newton-type methods. Zbl 1023.90063
Izmailov, A. F.; Solodov, M. V.
11
2003
Numerical methods of optimization. (Chislennye metody optimizatsii.) Zbl 1055.65075
Izmailov, A. F.; Solodov, M. V.
7
2003
The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions. Zbl 1082.90136
Izmailov, A. F.; Solodov, M. V.
16
2002
Parallel variable distribution for constrained optimization. Zbl 1007.90063
Sagastizábal, C. A.; Solodov, M. V.
10
2002
Superlinearly convergent algorithms for solving singular equations and smooth reformulations of complementarity problems. Zbl 1026.90085
Izmailov, A. F.; Solodov, M. V.
7
2002
A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. Zbl 1020.49016
Solodov, M. V.; Svaiter, B. F.
4
2002
Complementarity constraint qualification via the theory of 2-regularity. Zbl 1026.90084
Izmailov, A. F.; Solodov, M. V.
3
2002
A unified framework for some inexact proximal point algorithms. Zbl 1052.49013
Solodov, M. V.; Svaiter, B. F.
71
2001
Optimality conditions for irregular inequality-constrained problems. Zbl 1102.90376
Izmailov, A. F.; Solodov, M. V.
10
2001
Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Zbl 1023.90062
Izmailov, A. F.; Solodov, M. V.
8
2001
A class of globally convergent algorithms for pseudomonotone variational inequalities. Zbl 0987.65061
Solodov, M. V.
2
2001
On the relation between bundle methods for maximal monotone inclusions and hybrid proximal point algorithms. Zbl 0991.65046
Sagastizábal, Claudia A.; Solodov, Mikhail V.
1
2001
Forcing strong convergence of proximal point iterations in a Hilbert space. Zbl 0971.90062
Solodov, M. V.; Svaiter, B. F.
172
2000
Error bounds for proximal point subproblems and associated inexact proximal point algorithms. Zbl 0963.90064
Solodov, M. V.; Svaiter, B. F.
36
2000
A truly globally convergent Newton-type method for the monotone nonlinear complementarity problem. Zbl 0955.90133
Solodov, M. V.; Svaiter, B. F.
16
2000
A new projection method for variational inequality problems. Zbl 0959.49007
Solodov, M. V.; Svaiter, B. F.
208
1999
A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator. Zbl 0959.90038
Solodov, M. V.; Svaiter, B. F.
100
1999
A hybrid projection-proximal point algorithm. Zbl 0961.90128
Solodov, M. V.; Svaiter, B. F.
82
1999
A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115
Mangasarian, O. L.; Solodov, M. V.
7
1999
Error stability properties of generalized gradient-type algorithms. Zbl 0913.90245
Solodov, M. V.; Zavriev, S. K.
25
1998
Incremental gradient algorithms with stepsizes bounded away from zero. Zbl 0915.65061
Solodov, M. V.
22
1998
Convergence analysis of perturbed feasible descent methods. Zbl 0899.90149
Solodov, M. V.
7
1997
Stationary points of bound constrained minimization reformulations of complementarity problems. Zbl 0893.90161
Solodov, M. V.
6
1997
Descent methods with linesearch in the presence of perturbations. Zbl 0877.65039
Solodov, M. V.; Svaiter, B. F.
3
1997
New error bounds for the linear complementarity problem. Zbl 0833.90113
Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V.
23
1994
Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117
Mangasarian, O. L.; Solodov, M. V.
80
1993
all top 5

Cited by 577 Authors

40 Izmailov, Alekseĭ F.
38 Solodov, Mikhail V.
14 Jian, Jinbao
12 Kanzow, Christian
10 Fischer, Andreas M.
10 Pang, Liping
10 Tang, Chunming
9 de Oliveira, Welington Luis
9 Mordukhovich, Boris S.
8 Arutyunov, Aram Vladimirovic
8 Liou, Yeongcheng
8 Yao, Yonghong
7 Kurennoy, Alexey S.
7 Sagastizábal, Claudia A.
6 Fernández, Damián
6 Hoheisel, Tim
6 Martínez, José Mario
6 Uskov, E. I.
5 Andreani, Roberto
5 Birgin, Ernesto G.
5 Ceng, Lu-Chuan
5 Gfrerer, Helmut
5 Karas, Elizabeth W.
5 Lv, Jian
5 Pham Ngoc Anh
5 Robinson, Daniel P.
5 Sagratella, Simone
5 Schwartz, Alexandra
5 Shen, Chungen
5 Tret’yakov, Alexey A.
4 Brezhneva, Olga A.
4 Cho, Yeol Je
4 Han, Congying
4 Herrich, Markus
4 Kungurtsev, Vyacheslav
4 Lampariello, Lorenzo
4 Liu, Shuai
4 Sarabi, M. Ebrahim
4 Strekalovskiĭ, Aleksandr Sergeevich
4 Sun, Defeng
4 Toh, Kimchuan
4 Van Ackooij, Wim
4 Wang, Song
4 Wen, Chingfeng
4 Ye, Jane J.
3 Alves, M. Marques
3 Auslender, Alfred
3 Bagirov, Adil M.
3 Chen, Yu
3 Cibulka, Radek
3 Dontchev, Asen L.
3 Dreves, Axel
3 Facchinei, Francisco
3 Gaudioso, Manlio
3 He, Guoping
3 Hu, Qingjie
3 Jin, Zhong
3 Karamzin, Dmitry Yu.
3 Klatte, Diethard
3 Li, Dan
3 Lin, Guihua
3 Luna, Juan Pablo
3 Mäkelä, Marko Mikael
3 Mehlitz, Patrick
3 Mishra, Shashi Kant
3 Outrata, Jiří V.
3 Ouyang, Wei
3 Pogosyan, A. L.
3 Ribeiro, Ademir Alves
3 Secchin, Leonardo D.
3 Vũ, Bằng Công
3 Wang, Jinhe
3 Wang, Wei
3 Yao, Jen-Chih
3 Zhang, Lei-Hong
3 Zhang, Liwei
2 Achtziger, Wolfgang
2 Adly, Samir
2 Ahookhosh, Masoud
2 Ansari, Qamrul Hasan
2 Aragón Artacho, Francisco Javier
2 Avakov, Evgeniĭ Rachievich
2 Behling, Roger
2 Benko, Matus
2 Bian, Wei
2 Bolte, Jérôme
2 Cai, Li
2 Chen, Rudong
2 Chen, Xiaojun
2 Chen, Zhongwen
2 Chieu, Nguyen Huy
2 Correia, Aldina
2 Costa Lima, Samara
2 Costa, M. Fernanda P.
2 Curtis, Frank E.
2 De Los Ángeles Martínez, María
2 Dong, Yunda
2 Dương Việt Thông
2 Eberhard, Andrew C.
2 Fernandes, Edite M. G. P.
...and 477 more Authors
all top 5

Cited in 86 Serials

48 Mathematical Programming. Series A. Series B
48 Computational Optimization and Applications
43 Journal of Optimization Theory and Applications
28 Optimization
27 SIAM Journal on Optimization
21 Journal of Global Optimization
15 Optimization Methods & Software
12 Applied Mathematics and Computation
12 Set-Valued and Variational Analysis
8 Numerical Algorithms
7 European Journal of Operational Research
6 Journal of Mathematical Analysis and Applications
6 Journal of Computational and Applied Mathematics
6 Numerical Functional Analysis and Optimization
6 Optimization Letters
5 Mathematics of Operations Research
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Operations Research Letters
5 Top
5 Journal of Applied Mathematics
5 Fixed Point Theory and Applications
5 Journal of Industrial and Management Optimization
4 Computational Mathematics and Mathematical Physics
4 Automation and Remote Control
4 Mathematical Problems in Engineering
4 Vietnam Journal of Mathematics
4 Abstract and Applied Analysis
4 Journal of Applied Mathematics and Computing
3 Automatica
3 SIAM Journal on Control and Optimization
3 Annals of Operations Research
3 Applied Mathematical Modelling
3 Journal of Computer and Systems Sciences International
3 Journal of Inequalities and Applications
3 Journal of Nonlinear Science and Applications
2 Inverse Problems
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Asia-Pacific Journal of Operational Research
2 Mathematical and Computer Modelling
2 International Journal of Computer Mathematics
2 Multibody System Dynamics
2 Mathematical Methods of Operations Research
2 4OR
2 Mathematical Programming Computation
2 Science China. Mathematics
1 Applicable Analysis
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Acta Mathematica Vietnamica
1 BIT
1 Journal of Multivariate Analysis
1 Kybernetika
1 Opsearch
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Computational Mathematics and Modeling
1 YUJOR. Yugoslav Journal of Operations Research
1 Linear Algebra and its Applications
1 Computational and Applied Mathematics
1 Journal of Convex Analysis
1 Advances in Computational Mathematics
1 INFORMS Journal on Computing
1 Doklady Mathematics
1 Positivity
1 Discrete Dynamics in Nature and Society
1 International Journal of Applied Mathematics and Computer Science
1 CEJOR. Central European Journal of Operations Research
1 Optimization and Engineering
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Structural and Multidisciplinary Optimization
1 Computational Management Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 SIAM Journal on Imaging Sciences
1 Symmetry
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 EURO Journal on Computational Optimization
1 Journal of the Operations Research Society of China

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