On the spectral properties of real antitridiagonal Hankel matrices-Reference-Cited by-同舟云学术

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On the spectral properties of real antitridiagonal Hankel matrices

Published:2022-10-10 Issue:1 Volume:11 Page:
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Lita da Silva João¹

Affiliation:

1. Department of Mathematics and GeoBioTec , NOVA School of Sciences and Technology , NOVA University of Lisbon , Quinta da Torre , 2829-516 Caparica , Portugal

Abstract

Abstract In this article, we express the eigenvalues of real antitridiagonal Hankel matrices as the zeros of given rational functions. We still derive eigenvectors for these structured matrices at the expense of prescribed eigenvalues.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2022-0174/pdf

Reference18 articles.

1. M. Akbulak, C. M. da Fonseca, and F. Yılmaz, The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices, Appl. Math. Comput. 225 (2013), 352–357.

2. J. Anderson, A secular equation for the eigenvalues of a diagonal matrix perturbation, Linear Algebra Appl. 246 (1996), 49–70.

3. N. Bebiano and S. Furtado, Remarks on anti-tridiagonal matrices, Appl. Math. Comput. 373 (2020), 125008.

4. J. R. Bunch, C. P. Nielsen, and D. C. Sorensen, Rank-one modification of the symmetric eigenproblem, Numer. Math. 31 (1978), 31–48.

5. C. M. da Fonseca, The eigenvalues of some anti-tridiagonal Hankel matrices, Kuwait J. Sci. 45 (2018), no. 1, 1–6.

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