On the spectral properties of real antitridiagonal Hankel matrices

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.

Keywords

• antitridiagonal matrix
• hankel matrix
• eigenvalue
• eigenvector
• 15a18
• 15b05