
Accession Number : AD0761868
Title : On Ranges of Lyapunov Transformations.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Carlson,David ; Loewy,Raphael
Report Date : MAY 1973
Pagination or Media Count : 23
Abstract : The range of the Lyapunov transformation (L sub A)(H) = A*H + HA, where A is an n x n matrix and H is an n x n hermitian matrix, is discussed. The SteinPfeffer theorem is proved and extended in several directions. The proofs involve the idea of a controllability subspace. (Author)
Descriptors : (*MATRICES(MATHEMATICS), *TRANSFORMATIONS(MATHEMATICS)), VECTOR SPACES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE