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 Stein-Pfeffer 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