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2005-10-21Buch DOI: 10.18452/2537
On Modifications of the Standard Embedding in Nonlinear Optimization
dc.contributor.authorFandom, Noubiap R.
dc.date.accessioned2017-06-15T17:28:52Z
dc.date.available2017-06-15T17:28:52Z
dc.date.created2005-10-21
dc.date.issued2005-10-21
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3189
dc.description.abstractThis paper deals with pathfollowing methods in nonlinear optimization. We study the so- called "standard embedding" and show its limits. Then, we modify this embedding from several points of view and obtain modified standard embeddings having some advantages. Singularity theory developed by Jongen-Jonker-Twilt plays a great role in our investigation. In some cases, we have to jump from one connected component to another one in the set of local minimizers and in the set of generalized critical points, respectively. In the worst case, we have to find all connected components and that is still an open problem. Computationary results are presented.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectsingularitieseng
dc.subjectNonlinear optimizationeng
dc.subjectpathfollowing methodseng
dc.subjectLinear Independence Constraint Qualificationeng
dc.subjectMangasarian-Fromovitz Constraint Qualificationeng
dc.subject.ddc510 Mathematik
dc.titleOn Modifications of the Standard Embedding in Nonlinear Optimization
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10051012
dc.identifier.doihttp://dx.doi.org/10.18452/2537
dc.subject.dnb27 Mathematik
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages45
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume1996
local.edoc.container-issue7
local.edoc.container-year1996
local.edoc.container-erstkatid2075199-0

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