Continuous-time subspace flows related to the symmetric eigenproblem

Absil, Pierre-Antoine;Sepulchre, Rodolphe;Mahony, R.
(2008) Pacific Journal of Optimization — Vol. 4, n° 2, p. 179-194 (2008)

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Abstract
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.
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Absil, P.-A., Sepulchre, R., & Mahony, R. (2008). Continuous-time subspace flows related to the symmetric eigenproblem. Pacific Journal of Optimization, 4(2), 179-194. https://hdl.handle.net/2078.5/90452 (Original work published 2008)