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

Fischer, Andreas - In: Top : transactions in operations research 23 (2015) 1, pp. 27-31

Persistent link: https://www.econbiz.de/10011406972

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

Izmailov, A. F.; Solodov, M. V. - In: Computational optimization and applications : an … 42 (2009) 2, pp. 231-264

Persistent link: https://www.econbiz.de/10003813293

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

Izmailov, A. F.; Solodov, M. V. - In: Top : transactions in operations research 23 (2015) 1, pp. 1-26

Persistent link: https://www.econbiz.de/10010517979

Variational analysis and generalized differentiation

Morduchovič, Boris S.

Persistent link: https://www.econbiz.de/10008976102

A stochastic inexact sequential quadratic optimization algorithm for nonlinear equality-constrained optimization

Curtis, Frank E.; Robinson, Daniel P.; Zhou, Baoyu - In: INFORMS journal on optimization 6 (2024) 3/4, pp. 173-195

Persistent link: https://www.econbiz.de/10015191199

A stochastic sequential quadratic optimization algorithm for nonlinear-equality-constrained optimization with rank-deficient Jacobians

Berahas, Albert S.; Curtis, Frank E.; O'Neill, Michael J.; … - In: Mathematics of operations research 49 (2024) 4, pp. 2212-2248

Persistent link: https://www.econbiz.de/10015197860

Newton-type methods near critical solutions of piecewise smooth nonlinear equations

Fischer, A.; Izmailov, A. F.; Jelitte, M. - In: Computational Optimization and Applications 80 (2021) 2, pp. 587-615

It is well-recognized that in the presence of singular (and in particular nonisolated) solutions of unconstrained or constrained smooth nonlinear equations, the existence of critical solutions has a crucial impact on the behavior of various Newton-type methods. On the one hand, it has been...

Persistent link: https://www.econbiz.de/10014502070

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

Mordukhovich, Boris - In: TOP: An Official Journal of the Spanish Society of … 23 (2015) 1, pp. 35-42

<Para ID="Par1">In these comments on the excellent survey paper by Izmailov and Solodov, we briefly discuss the main issues of critical Lagrange multipliers discovered and analyzed by the authors and then formulate some topics of interest for the future research. The latter topics concern the study of a...</para>

Persistent link: https://www.econbiz.de/10011241022

Preface: special issue of JOGO–GCM10

Mordukhovich, Boris; Popovici, Nicolae; Sheu, Ruey-Lin - In: Journal of Global Optimization 57 (2013) 3, pp. 613-615

Persistent link: https://www.econbiz.de/10010896373

Enhanced metric regularity and Lipschitzian properties of variational systems

Artacho, Francisco Aragón; Mordukhovich, Boris - In: Journal of Global Optimization 50 (2011) 1, pp. 145-167

Persistent link: https://www.econbiz.de/10009149561