The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
Keywords:Anti-tridiagonal 2-Hankel matrix, eigenvalue, eigenvector, Chebyshev polynomials
AbstractIn 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.
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