[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