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dc.contributor.author
Fazzio, Nadia Soledad
dc.contributor.author
Sanchez, María Daniela
dc.contributor.author
Schuverdt, María Laura
dc.date.available
2023-12-26T15:21:47Z
dc.date.issued
2022-12
dc.identifier.citation
Fazzio, Nadia Soledad; Sanchez, María Daniela; Schuverdt, María Laura; A note on the McCormick second-order constraint qualification; Brazilian Society of Applied and Computational Mathematics; Trends in Computational and Applied Mathematics; 23; 4; 12-2022; 769-781
dc.identifier.issn
2676-0029
dc.identifier.uri
http://hdl.handle.net/11336/221422
dc.description.abstract
The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulation is based on the use of feasible arcs, but is independent of Lagrange multipliers. Using such a reformulation, we can show that a local minimizer verifies the strong second-order necessary optimality condition. We can also prove that the reformulation is weaker than the known relaxed constant rank constraint qualification in [19]. Furthermore, we demonstrate that the condition is neither related to the MFCQ+WCR in [8] nor to the CCP2 condition, the companion constraint qualification associated with the second-order sequential optimality condition AKKT2 in [5].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Brazilian Society of Applied and Computational Mathematics
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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SECOND-ORDER OPTIMALITY CONDITIONS
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CONSTRAINT QUALIFICATION
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A note on the McCormick second-order constraint qualification
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-12-26T11:25:04Z
dc.journal.volume
23
dc.journal.number
4
dc.journal.pagination
769-781
dc.journal.pais
Brasil
dc.description.fil
Fil: Fazzio, Nadia Soledad. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.description.fil
Fil: Sanchez, María Daniela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.description.fil
Fil: Schuverdt, María Laura. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.journal.title
Trends in Computational and Applied Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://tema.sbmac.org.br/tema/article/download/1625/1141
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.5540/tcam.2022.023.04.00769
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