Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633207 | Applied Mathematics and Computation | 2008 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jesús Gutiérrez-Gutiérrez,