Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470248 | Computers & Mathematics with Applications | 2016 | 12 Pages |
Abstract
In this paper we express the eigenvalues of real anti-pentadiagonal persymmetric Hankel matrices with perturbed corners as the zeros of explicit rational functions. From these prescribed eigenvalues we give an orthogonal diagonalization for these matrices and a formula to compute its integer powers. In particular, an explicit expression not depending on any unknown parameter for the determinant and the inverse of complex anti-pentadiagonal persymmetric Hankel matrices with perturbed corners is provided.
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Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
João Lita da Silva,