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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 61, 2012 - Issue 5
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Original Articles

Relation between the constant rank and the relaxed constant rank constraint qualifications

Shu Lu Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, USACorrespondence[email protected]
Pages 555-566 | Received 28 Dec 2009, Accepted 13 Sep 2010, Published online: 11 Nov 2010

Citations (12)

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Read on this site (1)

E. M. Bednarczuk, L. I. Minchenko & K. E. Rutkowski. (2020) On Lipschitz-like continuity of a class of set-valued mappings. Optimization 69:12, pages 2535-2549.
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Articles from other publishers (11)

Ewa M. Bednarczuk & Krzysztof E. Rutkowski. (2020) On Lipschitz Continuity of Projections onto Polyhedral Moving Sets. Applied Mathematics & Optimization 84:2, pages 2147-2175.
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María C. Maciel, Sandra A. Santos & Graciela N. Sottosanto. (2012) On Second-Order Optimality Conditions for Vector Optimization: Addendum. Journal of Optimization Theory and Applications 188:2, pages 597-602.
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L. I. Minchenko & O. F. Borisenko. (2019) Sufficient condition for pseudo-lipschitzian continuity of a family of equalities and inequalities. Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55:3, pages 283-287.
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Leonid Minchenko. (2019) Note on Mangasarian–Fromovitz-Like Constraint Qualifications. Journal of Optimization Theory and Applications 182:3, pages 1199-1204.
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E. Bednarczuk & K. Rutkowski. (2019) On Lipschitz-Like Property for Polyhedral Moving Sets. SIAM Journal on Optimization 29:4, pages 2504-2516.
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Xin Shen & John E. Mitchell. (2018) A penalty method for rank minimization problems in symmetric matrices. Computational Optimization and Applications 71:2, pages 353-380.
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Andreas Fischer, Markus Herrich, Alexey F. Izmailov & Mikhail V. Solodov. (2015) Convergence conditions for Newton-type methods applied to complementarity systems with nonisolated solutions. Computational Optimization and Applications 63:2, pages 425-459.
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E. G. Birgin, J. M. Martínez & L. F. Prudente. (2014) Optimality properties of an Augmented Lagrangian method on infeasible problems. Computational Optimization and Applications 60:3, pages 609-631.
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Alexander Y. Kruger, Leonid Minchenko & Jiří V. Outrata. (2013) On relaxing the Mangasarian–Fromovitz constraint qualification. Positivity 18:1, pages 171-189.
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Roberto Andreani, Gabriel Haeser, María Laura Schuverdt & Paulo J. S. Silva. (2011) A relaxed constant positive linear dependence constraint qualification and applications. Mathematical Programming 135:1-2, pages 255-273.
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Roberto Andreani, Gabriel Haeser, María Laura Schuverdt & Paulo J. S. Silva. (2012) Two New Weak Constraint Qualifications and Applications. SIAM Journal on Optimization 22:3, pages 1109-1135.
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