Computations of Quasiconvex Hulls of Isotropic Sets

0474874 - ÚTIA 2018 RIV DE eng J - Článek v odborném periodiku
Heinz, S. - Kružík, Martin
Computations of Quasiconvex Hulls of Isotropic Sets.
Journal of Convex Analysis. Roč. 24, č. 2 (2017), s. 477-492. ISSN 0944-6532. E-ISSN 0944-6532
Grant CEP: GA ČR GA14-15264S; GA ČR(CZ) GAP201/12/0671
Institucionální podpora: RVO:67985556
Klíčová slova: quasiconvexity * isotropic compact sets * matrices
Obor OECD: Pure mathematics
Impakt faktor: 0.627, rok: 2017
http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0474874.pdf

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.
Trvalý link: http://hdl.handle.net/11104/0272092