<div class="csl-bib-body">
<div class="csl-entry">Daniilidis, A., & Salas, D. (2023). <i>Steepest geometric descent for regularized quasiconvex functions</i>. arXiv. https://doi.org/10.48550/arXiv.2310.01364</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189737
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dc.description.abstract
We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process induced by the sublevel sets is reversible. We then use max-convolution to regularize general quasiconvex functions and obtain a result of the same nature in a more general setting.
en
dc.description.sponsorship
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.subject
Steepest descent curves
en
dc.subject
quasiconvex functions, ,
en
dc.subject
max-convolution
en
dc.subject
sweeping process
en
dc.title
Steepest geometric descent for regularized quasiconvex functions
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2310.01364
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dc.contributor.affiliation
Universidad de O'Higgins, Chile
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dc.relation.grantno
P 36344N
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tuw.project.title
Unilateralität und Asymmetrie in der Variationsanalyse
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.publisher.doi
10.48550/arXiv.2310.01364
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dc.description.numberOfPages
18
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tuw.author.orcid
0000-0003-4837-694X
-
dc.description.sponsorshipexternal
BASAL funds for centers of excellence (ANID-Chile)
-
dc.description.sponsorshipexternal
FONDECYT (Chile)
-
dc.relation.grantnoexternal
CMM FB210005
-
dc.relation.grantnoexternal
11220586
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tuw.publisher.server
arXiv
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
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item.languageiso639-1
en
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item.fulltext
no Fulltext
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item.openairetype
preprint
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_816b
-
item.grantfulltext
none
-
crisitem.author.dept
E105-04 - Forschungsbereich Operations Research und Kontrollsysteme
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crisitem.author.dept
Universidad de O'Higgins, Chile
-
crisitem.author.orcid
0000-0003-4837-694X
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
-
crisitem.project.funder
FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
