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

Kuwait Journal of Science

João Lita da Silva¹ 

[1]Faculty of Sciences and Technology, NOVA University of Lisbon

关键词: Anti-tridiagonal 2-Hankel matrix;    eigenvalue;    eigenvector;    Chebyshev polynomials;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

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.

【 授权许可】

Unknown