Controllability of the shifted inverse power iteration: The case of real shifts
Uwe Helmke, Fabian R. Wirth · 2000
Controllability properties of the inverse power method on projective space are investigated. For complex eigenvalue shifts a simple characterization of the reachable sets in terms of invariant subspaces can be obtained. The real case is more complicated and is investigated in this paper. Necessary and sufficient conditions for complete controllability are obtained in terms of the solvability of a matrix equation. Partial results on the solvability of this matrix equation are given.