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Convexity in Spaces of Matrices
Department of Mathematics, University of Craiova .
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper. UiT, The Artic University of Norway, Campus Narvik .
2018 (engelsk)Inngår i: Convex Functions and Their Applications: A Contemporary Approach, Cham: Springer, 2018, s. 227-254Kapittel i bok, del av antologi (Fagfellevurdert)
Abstract [en]

In this chapter we investigate three subjects concerning the convexity of functions defined on a space of matrices (or just on a convex subset of it). The first one is devoted to the convex spectral functions, that is, to the convex functions F:Sym(n,R)→R">F:Sym(n,R)→RF:Sym(n,R)→R whose values F(A) depend only on the spectrum of A. The main result concerns their description as superpositions f∘Λ">f∘Λf∘Λ between convex functions f:Rn→R">f:Rn→Rf:Rn→R invariant under permutations, and the eigenvalues map Λ">ΛΛ.

sted, utgiver, år, opplag, sider
Cham: Springer, 2018. s. 227-254
Serie
CMS Books in Mathematics, ISSN 1613-5237
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:ltu:diva-69633DOI: 10.1007/978-3-319-78337-6_5ISBN: 978-3-319-78336-9 (tryckt)ISBN: 978-3-319-78337-6 (digital)OAI: oai:DiVA.org:ltu-69633DiVA, id: diva2:1220254
Tilgjengelig fra: 2018-06-18 Laget: 2018-06-18 Sist oppdatert: 2020-03-05bibliografisk kontrollert

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