On anti-pentadiagonal persymmetric Hankel matrices with perturbed corners

被引：5

作者：

da Silva, Joao Lita ^{[1
,2
]}

机构：

[1] NOVA Univ Lisbon, Fac Sci & Technol, Dept Math, Quinta Torre, P-2829516 Caparica, Portugal

[2] NOVA Univ Lisbon, Fac Sci & Technol, GeoBioTec, Quinta Torre, P-2829516 Caparica, Portugal

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 03期

关键词：

Anti-pentadiagonal matrix; Hankel matrix; Eigenvalue; Eigenvector; Orthogonal diagonalization; ARBITRARY POSITIVE POWERS; RANK-ONE MODIFICATION; TRIDIAGONAL MATRICES; INTEGER POWERS;

D O I：

10.1016/j.camwa.2016.04.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 pre-scribed 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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：415 / 426

页数：12