Journal of Applied Mathematics
Volume 2013 (2013), Article ID 125687, 6 pages
http://dx.doi.org/10.1155/2013/125687
Research Article

A New Method for the Bisymmetric Minimum Norm Solution of the Consistent Matrix Equations ,

Aijing Liu,1,2 Guoliang Chen,1 and Xiangyun Zhang1

1Department of Mathematics, East China Normal University, Shanghai 200241, China
2School of Mathematical Sciences, Qufu Normal University, Shandong 273165, China

Received 18 October 2012; Accepted 16 January 2013

Academic Editor: Alberto Cabada

Copyright © 2013 Aijing Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a new iterative method to find the bisymmetric minimum norm solution of a pair of consistent matrix equations , . The algorithm can obtain the bisymmetric solution with minimum Frobenius norm in finite iteration steps in the absence of round-off errors. Our algorithm is faster and more stable than Algorithm 2.1 by Cai et al. (2010).