Article (Scientific journals)
Continuous-time susbspace flows related to the symmetric eigenvalue problem
Absil, Pierre-Antoine; Sepulchre, Rodolphe; Mahony, Robert
2008In Pacific Journal of Optimization, 4 (2), p. 179-194
Peer reviewed
 

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Keywords :
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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Author, co-author :
Absil, Pierre-Antoine
Sepulchre, Rodolphe ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Mahony, Robert
Language :
English
Title :
Continuous-time susbspace flows related to the symmetric eigenvalue problem
Publication date :
2008
Journal title :
Pacific Journal of Optimization
ISSN :
1348-9151
eISSN :
1349-8169
Publisher :
Yokohama Publishers, Inc, Japan
Volume :
4
Issue :
2
Pages :
179-194
Peer reviewed :
Peer reviewed
Available on ORBi :
since 22 December 2009

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