On Ranges of Lyapunov Transformations. II.
Abstract
Y REPT.,SLoewy,Raphael ;MRC-TSR-1379DA-31-124-ARO(D)-462*Matrices(Mathematics), *Transformations(Mathematics), Inequalities, TheoremsLyapunov functions, Hermitian matricesThe 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 hermitian matrices H beongs to (c sup n,n) of the form (L sub A)(H) = AH + HA*. Given a positive stable A belongs to (c sup n,n), the Stein-Pfeffer Theorem characterizes those K belongs to (H sub n) for which K = (L sub B)(H), where B is similar to A and H is positive definite. Here several extensions of this theorem are proved. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0771380
Entities
People
- Raphael Loewy
Organizations
- University of Wisconsin–Madison