Prox-regularity of spectral functions and spectral sets

Aris Daniilidis, Adrian Lewis, Jérôme Malick, Hristo Sendov

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)


Important properties such as differentiability and convexity of symmetric functions in Rn can be transferred to the corresponding spectral functions and vice-versa. Continuing to built on this line of research, we hereby prove that a spectral function F : Sn → R U {+00} is prox-regular if and only if the underlying symmetric function f: Rn → RU {+00} is prox-regular. Relevant properties of symmetric sets are also discussed.
Original languageEnglish
Pages (from-to)547-560
JournalJournal of Convex Analysis
Issue number3
Publication statusPublished - 7 Aug 2008


  • Eigenvalue optimization
  • Invariant function
  • Permutation theory
  • Prox-regular function
  • Spectral function


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