On Ranges of Lyapunov Transformations IV.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The Lyapunov transformation L sub A corresponding to the matrix A belongs to C sup n,n is a linear transformation on the space H sub n of nXn hermitian matrices, of the form L sub AH AH HA. Let PSDn be the set of n x n hermitian positive semidefinite matrices. The author answers the questions to what extent do L sub APSDn and Lsup-1sub APSDn characterize A, for any A belongs to C sup n,n such that L sub A is invertible.
- Theoretical Mathematics