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

1 April 1977

journal article
research article
Published by Taylor & Francis in International Journal of Systems Science

Vol. 8 (4) , 385-392
https://doi.org/10.1080/00207727708942049

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.

Keywords

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