The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
In this paper we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order at the expense of Chebyshev polynomials giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-04-01
|
| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/5498 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850138680134467584 |
|---|---|
| author | João Lita da Silva |
| author_facet | João Lita da Silva |
| author_sort | João Lita da Silva |
| collection | DOAJ |
| description | In this paper we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order at the expense of Chebyshev polynomials giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest diagonal is still provided using prescribed eigenvalues. |
| format | Article |
| id | doaj-art-cdb03e0e23754abfa78ea82149de9e27 |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2019-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-cdb03e0e23754abfa78ea82149de9e272025-08-20T02:30:31ZengElsevierKuwait Journal of Science2307-41082307-41162019-04-01462The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even orderJoão Lita da Silva0Faculty of Sciences and Technology, NOVA University of LisbonIn this paper we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order at the expense of Chebyshev polynomials giving also a representation of its eigenvectors. An orthogonal diagonalization for these type of matrices having null northeast-to-southwest diagonal is still provided using prescribed eigenvalues.https://journalskuwait.org/kjs/index.php/KJS/article/view/5498Anti-tridiagonal 2-Hankel matrixeigenvalueeigenvectorChebyshev polynomials |
| spellingShingle | João Lita da Silva The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order Kuwait Journal of Science Anti-tridiagonal 2-Hankel matrix eigenvalue eigenvector Chebyshev polynomials |
| title | The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order |
| title_full | The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order |
| title_fullStr | The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order |
| title_full_unstemmed | The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order |
| title_short | The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order |
| title_sort | characteristic polynomial of some anti tridiagonal 2 hankel matrices of even order |
| topic | Anti-tridiagonal 2-Hankel matrix eigenvalue eigenvector Chebyshev polynomials |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/5498 |
| work_keys_str_mv | AT joaolitadasilva thecharacteristicpolynomialofsomeantitridiagonal2hankelmatricesofevenorder AT joaolitadasilva characteristicpolynomialofsomeantitridiagonal2hankelmatricesofevenorder |