The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order

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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 languageEnglish
Pages (from-to)1-10
Number of pages10
JournalKuwait Journal of Science
Volume46
Issue number3
Publication statusPublished - Apr 2019

Keywords

  • Anti-tridiagonal 2-Hankel matrix
  • Chebyshev polynomials
  • Eigenvalue
  • Eigenvector

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