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On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers

Mathematical programming, 2011-02, Vol.126 (2), p.231-257

2011

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A new projection method for variational inequality problems

SIAM journal on control and optimization, 1999, Vol.37 (3), p.765-776

1999

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Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

TOP, 2015-04, Vol.23 (1), p.1-26

2015

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Unit stepsize for the Newton method close to critical solutions

Mathematical programming, 2021-05, Vol.187 (1-2), p.697-721

2021

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Forcing strong convergence of proximal point iterations in a Hilbert space

Mathematical programming, 2000, Vol.87 (1), p.189-202

2000

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Convergence rate estimates for penalty methods revisited

Computational optimization and applications, 2023-07, Vol.85 (3), p.973-992

2023

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Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants

Journal of optimization theory and applications, 2022-06, Vol.193 (1-3), p.491-522

2022

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An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions

Mathematics of operations research, 2000-05, Vol.25 (2), p.214-230

2000

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A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems

SIAM journal on optimization, 2010-01, Vol.20 (5), p.2584-2613

2010

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Stabilized SQP revisited

Mathematical programming, 2012-06, Vol.133 (1-2), p.93-120

2012

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Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations

Computational optimization and applications, 2021, Vol.78 (1), p.273-286

2021

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Convergence rate analysis of iteractive algorithms for solving variational inequality problems

Mathematical programming, 2003-06, Vol.96 (3), p.513-528

SOLODOV, M. V

2003

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Critical solutions of nonlinear equations: stability issues

Mathematical programming, 2018-03, Vol.168 (1-2), p.475-507

2018

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Critical solutions of nonlinear equations: local attraction for Newton-type methods

Mathematical programming, 2018-02, Vol.167 (2), p.355-379

2018

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On the Sequential Quadratically Constrained Quadratic Programming Methods

Mathematics of operations research, 2004-02, Vol.29 (1), p.64-79

Solodov, M. V

2004

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Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition

SIAM journal on optimization, 2012-01, Vol.22 (2), p.384-407

2012

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Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints

Computational optimization and applications, 2009-03, Vol.42 (2), p.231-264

2009

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Merit functions and error bounds for generalized variational inequalities

Journal of mathematical analysis and applications, 2003-11, Vol.287 (2), p.405-414

Solodov, M.V.

2003

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On approximations with finite precision in bundle methods for nonsmooth optimization

Journal of optimization theory and applications, 2003-10, Vol.119 (1), p.151-165

SOLODOV, M. V

2003

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A globally convergent Levenberg–Marquardt method for equality-constrained optimization

Computational optimization and applications, 2019-01, Vol.72 (1), p.215-239

2019

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Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints

SIAM journal on optimization, 2012-01, Vol.22 (4), p.1579-1606

2012

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Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function

Journal of optimization theory and applications, 2016-04, Vol.169 (1), p.148-178

2016

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Combining stabilized SQP with the augmented Lagrangian algorithm

Computational optimization and applications, 2015-11, Vol.62 (2), p.405-429

2015

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Newton-Type Methods: A Broader View

Journal of optimization theory and applications, 2015-02, Vol.164 (2), p.577-620

2015

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A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS

Numerical functional analysis and optimization, 2001-11, Vol.22 (7-8), p.1013-1035

2001

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On attraction of linearly constrained Lagrangian methods and of stabilized and quasi-Newton SQP methods to critical multipliers

A new projection method for variational inequality problems

Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

Unit stepsize for the Newton method close to critical solutions

Forcing strong convergence of proximal point iterations in a Hilbert space

Convergence rate estimates for penalty methods revisited

Perturbed Augmented Lagrangian Method Framework with Applications to Proximal and Smoothed Variants

An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions

A Truncated SQP Method Based on Inexact Interior-Point Solutions of Subproblems

Stabilized SQP revisited

Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations

Convergence rate analysis of iteractive algorithms for solving variational inequality problems

Critical solutions of nonlinear equations: stability issues

Critical solutions of nonlinear equations: local attraction for Newton-type methods

On the Sequential Quadratically Constrained Quadratic Programming Methods

Local Convergence of Exact and Inexact Augmented Lagrangian Methods under the Second-Order Sufficient Optimality Condition

Examples of dual behaviour of Newton-type methods on optimization problems with degenerate constraints

Merit functions and error bounds for generalized variational inequalities

On approximations with finite precision in bundle methods for nonsmooth optimization

A globally convergent Levenberg–Marquardt method for equality-constrained optimization

Global Convergence of Augmented Lagrangian Methods Applied to Optimization Problems with Degenerate Constraints, Including Problems with Complementarity Constraints

Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function

Combining stabilized SQP with the augmented Lagrangian algorithm

Newton-Type Methods: A Broader View

A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS

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