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1999-05-24Buch DOI: 10.18452/2669
On double one-parametric optimization problems and some applications
dc.contributor.authorMbunga, Paulo
dc.date.accessioned2017-06-15T17:55:20Z
dc.date.available2017-06-15T17:55:20Z
dc.date.created2005-11-10
dc.date.issued1999-05-24
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3321
dc.description.abstractThis paper deals with a special class of quadratic optimization problems with quadratic constraints, which we call double parametric. We try to solve these problems using Pathfollowing Methods with a special case of the Standard Embedding. The singularity theory developed by Jongen, Jonker and Twilt plays a great role in our investigations. In cases where a jump from one connected component to another one in the set of local minimizers and in the set of generalized critical points is not possible, we prove that the turning points are in negative direction. We survey results with respect to the choice of the starting point and make some proposals in order to overcome cases where jumps are not possible. We show the role of the Mangasarian-Fromovitz constraints qualification in the existence of the jumps and the solution of considered problems. Some examples of applications to global quadratic optimization and multicriteria optimization are given.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectparametric optimizationeng
dc.subjectpathfollowing methodseng
dc.subjectjumpseng
dc.subjectgeneralized critical pointeng
dc.subjectturning point in the negative senseeng
dc.subject.ddc510 Mathematik
dc.titleOn double one-parametric optimization problems and some applications
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10053334
dc.identifier.doihttp://dx.doi.org/10.18452/2669
local.edoc.pages44
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year1999
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber1999,8

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