Controllability of the QR Algorithm on Hessenberg Flags
نویسندگان
چکیده
The shifted QR algorithm can be interpreted as a nonlinear discrete dynamical system on the flag manifold. In the complex case we describe the reachability sets as orbits of a group action and prove non-controllability of the algorithm. In contrast, the algorithm restricted on the subset of Hessenberg flags is generically controllable.
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تاریخ انتشار 2002