• DocumentCode
    404408
  • Title

    Optimality of double bracket and generalized double bracket flows

  • Author

    Bloch, Anthony M. ; Iserles, Arieh

  • Author_Institution
    Dept. of Math., Michigan Univ., Ann Arbor, MI, USA
  • Volume
    1
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    528
  • Abstract
    In this paper we consider the optimal structure of double bracket flows and generalizations of these flows to more complex gradient flows. We discuss different notions of optimality and the relationship of the flows to the structure of convex polytopes and the momentum map.
  • Keywords
    Lie algebras; Lyapunov methods; computational geometry; gradient methods; optimisation; Lie algebras; Lyapunov methods; complex gradient flows; convex polytopes; generalized double bracket flows; momentum map; optimal structure; optimality; Bridges; Control theory; Differential equations; Eigenvalues and eigenfunctions; Linear algebra; Lyapunov method; Mathematics; Open wireless architecture; Physics; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272617
  • Filename
    1272617
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404408