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
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;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272617
