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Computations of Quasiconvex Hulls of Isotropic Sets

SYSNO ASEP	0474874
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Computations of Quasiconvex Hulls of Isotropic Sets
Author(s)	Heinz, S. (DE) Kružík, Martin (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	Journal of Convex Analysis. - : Heldermann Verlag - ISSN 0944-6532 Roč. 24, č. 2 (2017), s. 477-492
Number of pages	16 s.
Publication form	Print - P
Language	eng - English
Country	DE - Germany
Keywords	quasiconvexity ; isotropic compact sets ; matrices
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA14-15264S GA ČR - Czech Science Foundation (CSF)
	GAP201/12/0671 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000400290200007
EID SCOPUS	85040733065
Annotation	We design an algorithm for computations of quasiconvex hulls of isotropic compact sets in in the space of 2×2 real matrices. Our approach uses a recent result by the first author [Adv. Calc. Var. 8 (2015) 43--53] on quasiconvex hulls of isotropic compact sets in the space of 2×2 real matrices. We show that our algorithm has the time complexity of O(N log N) where N is the number of orbits of the set. Finally, we outline some applications of our results to relaxation of L-ifnifitive variational problems.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2018

Number of the records: 1