Accession Number:
ADA001655
Title:
On Ranges of Lyapunov Transformations IV.
Descriptive Note:
Technical summary rept.,
Corporate Author:
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s):
Report Date:
1974-11-01
Pagination or Media Count:
17.0
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 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.
Descriptors:
Subject Categories:
- Theoretical Mathematics