Title
On controllability of the real shifted inverse power iteration
Abstract
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 conditions for the solvability of this matrix equation are given.
Year
DOI
Venue
2001
10.1016/S0167-6911(01)00094-9
Systems & Control Letters
Keywords
Field
DocType
Inverse iteration,Forward accessibility,Controllability,Polynomial matrix equations
Mathematical optimization,Controllability,Mathematical analysis,Matrix (mathematics),Linear subspace,Invariant (mathematics),Eigenvalues and eigenvectors,Power iteration,Mathematics,Projective space,Inverse iteration
Journal
Volume
Issue
ISSN
43
1
0167-6911
Citations 
PageRank 
References 
1
0.43
2
Authors
2
Name
Order
Citations
PageRank
Uwe Helmke133742.53
Fabian Wirth290077.70