2008 • Journal Article
Continuous-time subspace flows related to the symmetric eigenproblem
Authors:
Absil, Pierre-Antoine ,
Sepulchre, Rodolphe,
Mahony, R.
Published in:
Pacific Journal of Optimization
Volume: 4 • Number: 2 • Pages: 179-194
The classes of continiuous-time flows on R-nxp that induce the same flow on the set of p-dimensional subspaces of R-n 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.