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dc.contributor.author
Andreani, Roberto
dc.contributor.author
Haeser, Gabriel
dc.contributor.author
Schuverdt, María Laura
dc.contributor.author
Silva, Paulo J. S.
dc.date.available
2023-06-09T12:30:09Z
dc.date.issued
2012-10
dc.identifier.citation
Andreani, Roberto; Haeser, Gabriel; Schuverdt, María Laura; Silva, Paulo J. S.; A relaxed constant positive linear dependence constraint qualification and applications; Springer; Mathematical Programming; 135; 10-2012; 255-273
dc.identifier.issn
0025-5610
dc.identifier.uri
http://hdl.handle.net/11336/200066
dc.description.abstract
In this work we introduce a relaxed version of the constant positive linear dependence constraint qualification (CPLD) that we call RCPLD. This development is inspired by a recent generalization of the constant rank constraint qualification by Minchenko and Stakhovski that was called RCRCQ. We show that RCPLD is enough to ensure the convergence of an augmented Lagrangian algorithm and that it asserts the validity of an error bound. We also provide proofs and counter-examples that show the relations of RCRCQ and RCPLD with other known constraint qualifications. In particular, RCPLD is strictly weaker than CPLD and RCRCQ, while still stronger than Abadie’s constraint qualification. We also verify that the second order necessary optimality condition holds under RCRCQ.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nonlinear Programming
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Constraint Qualifications
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Augmented Lagrangian
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Error Bound Property
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A relaxed constant positive linear dependence constraint qualification and applications
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-06-07T22:52:27Z
dc.identifier.eissn
1436-4646
dc.journal.volume
135
dc.journal.pagination
255-273
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Andreani, Roberto. Universidade Estadual de Campinas; Brasil
dc.description.fil
Fil: Haeser, Gabriel. Universidade Federal de Sao Paulo; Brasil
dc.description.fil
Fil: Schuverdt, María Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Silva, Paulo J. S.. Universidade de Sao Paulo; Brasil
dc.journal.title
Mathematical Programming
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10107-011-0456-0
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