Journal of Shanghai University(Natural Science Edition) ›› 2013, Vol. 19 ›› Issue (6): 606-610.doi: 10.3969/j.issn.1007-2861.2013.06.010

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

η-Hermitian Solutions to a System of Quaternion Matrix Equations

CHEN Di1,WU Wei-feng2   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Accounting and Statistics School of Mathematics,Weifang Engineering Vocational College, Weifang 262500, Shandong, China
  • Online:2013-12-30 Published:2013-12-30

Abstract: This paper derives a necessary and sufficient condition for the existence of the η-Hermitian solutions to the quaternion matrix equationsAXAη+ BYBη= E, CYCη+ DZDη= F  by using the singular value decomposition of four matrices, and gives an expression of the η-Hermitian solutions to the quaternion matrix equations.

Key words: matrix decomposition, quaternion matrix, rank

CLC Number: