Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1526-1536.

• Articles • Previous Articles     Next Articles

Iterative Method for Centro-symmetric Solution of the Linear Matrix Equations

 TIAN Xiao-Hong, ZHANG Kai-Yuan   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072
  • Received:2009-07-13 Revised:2011-04-28 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    陕西省自然科学基金(2006A05)资助

Abstract:

An iterative method is presented to find the centro-symmetric solutions of the general linear matrix equations. By this iterative method, the solvability of the matrix equations over centro-symmetric solution can be determined, and  its least-norm centro-symmetric solution can be got by choosing a special initial centro-symmetric matrix. In addition, its optimal approximation matrix to a given matrix can be obtained.

Key words: Linear matrix equations, The centro-symmetric solution, Least-norm centro-symmetric solution, Iterative method, Optimal approximation

CLC Number: 

  • 65F10
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