Stable Convex Sets of Matrices.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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A subset alpha of nxn complex valued matrices is stable if all powers of all matrices from the set alpha are uniformly bounded. We show that if alpha is a bounded convex circular set which spans a stable linear subspace of matrices, then alpha is stable if the spectral radius of any a approaching alpha is bounded by 1. Author
- Theoretical Mathematics