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Computational and Mathematical Methods in Medicine
Volume 2013, Article ID 707381, 7 pages
Research Article

On Optimal Backward Perturbation Analysis for the Linear System with Skew Circulant Coefficient Matrix

1Department of Mathematics, Linyi University, Linyi, Shandong 276000, China
2Department of Mathematics, Shandong Normal University, Ji’nan, Shandong 250014, China

Received 22 July 2013; Accepted 6 October 2013

Academic Editor: Jianlong Qiu

Copyright © 2013 Juan Li 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.


We first give the style spectral decomposition of a special skew circulant matrix and then get the style decomposition of arbitrary skew circulant matrix by making use of the Kronecker products between the elements of first row in skew circulant and the special skew circulant . Besides that, we obtain the singular value of skew circulant matrix as well. Finally, we deal with the optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix on the base of its style spectral decomposition.