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Algorithms for centrosymmetric and skew-centrosymmetric matrices

Authors: 
Iyad T. Abu-Jeib
Journal Name: 
Missouri J. Math. Sci.
Volume: 
18
Issue: 
1
Pages From: 
46
To: 
53
Date: 
Sunday, January 1, 2006
Keywords: 
Skew-centrosymmetric, centrosymmetric, Toeplitz, linear systems, Hermitian persymmetric.
Abstract: 
We present a simple algorithm that reduces the time complexity of solving the linear system $Gx=b$, where $G$ is a nonsingular centrosymmetric/skew-centrosymmetric matrix. We also reduce the time complexity of solving some complex linear systems. We propose efficient methods for multiplying centrosymmetric/skew-centrosymmetric matrices.