ISSN

CN

News & Announcements
Links
All Commuting Solutions of a Quadratic Matrix Equation for General Matrices
  
View Full Text  View/Add Comment  Download reader
KeyWord:Jordan canonical form; Sylvester’s equation
Author NameAffiliation
Qixiang Dong School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China 
Jiu Ding School of Mathematics and Natural Sciences, University of Southern Mississippi, Hattiesburg, MS 39406, USA 
Hits: 78
Download times: 51
Abstract:
      Using the Jordan canonical form and the theory of Sylvester’s equation, we find all the commuting solutions of the quadratic matrix equation AXA = XAX for an arbitrary given matrix A.