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https://doi.org/10.1016/j.amc.2008.10.003
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Cite Journal: Applied Mathematics and Computation |  Publication Date: Oct 14, 2008 |
 Citations: 10 |
In this paper, we present an eigenvalue decomposition with an orthogonal eigenvector matrix for any real persymmetric anti-tridiagonal matrix with constant anti-diagonals. Furthermore, we derive a general expression for the entries of the powers of these anti-tridiagonal matrices in terms of the Chebyshev polynomials of the second kind.
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