Abstract
In this paper, we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order in terms 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 also provided using prescribed eigenvalues.
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Number of pages | 10 |
| Journal | Kuwait Journal of Science |
| Volume | 46 |
| Issue number | 3 |
| Publication status | Published - Apr 2019 |
Keywords
- Anti-tridiagonal 2-Hankel matrix
- Chebyshev polynomials
- Eigenvalue
- Eigenvector