The solution of the matrix equation XC – BX = D as an eigenvalue problem

Y. Bar-Ness, G. Langholz

Research output: Contribution to journalArticlepeer-review

Abstract

The solution of the linear matrix equation XC – BX = D is investigated as an eigen-value problem via an associated matrix. A set of principal vectors of the associated matrix is shown to constitute the required solution. The properties of this set and the uniqueness of the solution are investigated as well as considering the special case of the Lyapunov matrix equation.

Original languageEnglish
Pages (from-to)385-392
Number of pages8
JournalInternational Journal of Systems Science
Volume8
Issue number4
DOIs
StatePublished - Apr 1977

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