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See detailContinuous-time susbspace flows related to the symmetric eigenvalue problem
Absil, Pierre-Antoine; Sepulchre, Rodolphe ULg; Mahony, Robert

in Pacific Journal of Optimization (2008), 4(2), 179--194

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 ... [more ▼]

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. [less ▲]

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