Integer powers of anti-tridiagonal matrices of the form antitridiag_n(a, c,−a), a, c ∈ ℂ

Abstract

In this paper we derive a general explicit expression for integer powers of complex anti-tridiagonal Hankel matrices having the form ${\mathrm{antitridiag}}_n(a,c,-a)$, $a,c\in \mathbb{C}$ using Chebyshev polynomials.

Keywords:

• anti-tridiagonal matrices
• Chebyshev polynomials

2000 AMS Subject Classifications:

• 15A18
• 15B05

Disclosure statement

No potential conflict of interest was reported by the author.