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Rank-One perturbations and transformations of centrosymmetric matrices

Authors: 
Iyad T. Abu-Jeib
Journal Name: 
New Zealand J. Math.
Volume: 
33
Issue: 
1
Pages From: 
1
To: 
10
Date: 
Thursday, January 1, 2004
Keywords: 
Eigenvalue, eigenvector, centrosymmetric, Toeplitz, rank-one perturbation
Abstract: 
We study the eigen structure of rank-one perturbations of centrosymmetric matrices and reduce the eigen/inverse/determinant problem of rank-one perturbations of centrosymmetric matrices to corresponding problems half the size of the original ones. We also study transformations of centrosymmetric matrices.
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