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.