Reference : Continuous-time susbspace flows related to the symmetric eigenvalue problem

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others Physical, chemical, mathematical & earth Sciences : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/2268/33344

Title :	Continuous-time susbspace flows related to the symmetric eigenvalue problem
Language :	English
Author, co-author :	Absil, Pierre-Antoine [> > > >]
	Sepulchre, Rodolphe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation >]
	Mahony, Robert [> > > >]
Publication date :	2008
Journal title :	Pacific Journal of Optimization
Volume :	4
Issue/season :	2
Pages :	179--194
Peer reviewed :	Yes
Audience :	International
ISSN :	1348-9151
Keywords :	[en] matrix flows ; subspace flows ; power flow
Abstract :	[en] The classes of continuous-time flows on Rn×p that induce the same flow on the set of p-dimensional subspaces of Rn are described. The power flow is briefly reviewed in this framework, and a subspace generalization of the Rayleigh quotient flow [Linear Algebra Appl. 368C, 2003, pp. 343–357] is proposed and analyzed. This new flow displays a property akin to deflation in finite time.
Permalink :	http://hdl.handle.net/2268/33344

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