Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals

J Gutiérrez-Gutiérrez - Applied Mathematics and Computation, 2014 - Elsevier
Applied Mathematics and Computation, 2014Elsevier
In this paper, we present an eigenvalue decomposition for any complex persymmetric
Hankel matrix with at most three non-zero anti-diagonals. Furthermore, we derive a general
expression for the natural powers of these Hankel matrices in terms of the natural powers of
complex persymmetric anti-tridiagonal Hankel matrices.
Abstract
In this paper, we present an eigenvalue decomposition for any complex persymmetric Hankel matrix with at most three non-zero anti-diagonals. Furthermore, we derive a general expression for the natural powers of these Hankel matrices in terms of the natural powers of complex persymmetric anti-tridiagonal Hankel matrices.
Elsevier
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