On Ranges of Lyapunov Transformations. III.

Abstract

Technical summary rept.,SLoewy,Raphael ;MRC-TSR-1385DA-31-124-ARO(D)-462*Matrices(Mathematics), *Transformations(Mathematics), Eigenvectors, TheoremsHermitian matrices, Lyapunov functionsThe Lyapunov transformation (L sub A) corresponding to the matrix A element of (c sup n,n) is a linear transformation on the space (H sub n) of hermitian matrices H element of (c sup n,n) of the form (L sub A)(H) = AH + HA*. Let (C sub 1)(A) = (AH + HA*: H is hermitian and positive semidefinite). Given A element of (c sup n,n such that (L sub A) is invertible, the author characterizes the matrices b element of (c sup n,n) such that (C sub 1)(A) = (C sub 1)(B).

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0771390

Entities

People

  • Raphael Loewy

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Eigenvectors
  • Linear Algebra
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers