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

 

作者: Y. BAR-NESS,   G. LANGHOLZ,  

 

期刊: International Journal of Systems Science  （Taylor Available online 1977）
卷期: Volume 8, issue 4  

页码: 385-392

 

ISSN:0020-7721

 

年代: 1977

 

DOI:10.1080/00207727708942049

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The solution of the linear matrix equation XC – BX = D is investigated as an eigen-value problem via anassociated 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.

 

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