On Modifications of the Standard Embedding in Nonlinear Optimization
dc.contributor.author | Fandom, Noubiap R. | |
dc.date.accessioned | 2017-06-15T17:28:52Z | |
dc.date.available | 2017-06-15T17:28:52Z | |
dc.date.created | 2005-10-21 | |
dc.date.issued | 2005-10-21 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3189 | |
dc.description.abstract | This 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.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | singularities | eng |
dc.subject | Nonlinear optimization | eng |
dc.subject | pathfollowing methods | eng |
dc.subject | Linear Independence Constraint Qualification | eng |
dc.subject | Mangasarian-Fromovitz Constraint Qualification | eng |
dc.subject.ddc | 510 Mathematik | |
dc.title | On Modifications of the Standard Embedding in Nonlinear Optimization | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-10051012 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2537 | |
dc.subject.dnb | 27 Mathematik | |
local.edoc.pages | 45 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 1996 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 1996,7 |