On Ranges of Lyapunov Transformations IV.
Abstract
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 A)(H) = AH + HA*. Let PSD(n) be the set of n x n hermitian positive semidefinite matrices. The author answers the questions to what extent do (L sub A)(PSD(n)) and L(sup-1)(sub A)(PSD(n)) characterize A, for any A belongs to (C sup n,n) such that (L sub A) is invertible.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1974
- Accession Number
- ADA001655
Entities
People
- Raphael Loewy
Organizations
- University of Wisconsin–Madison