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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE