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

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Abstract

In this paper we derive a general explicit expression for integer powers of complex anti-tridiagonal Hankel matrices having the form n(a, c,−a), a, c ∈ ℂ using Chebyshev polynomials.

Original languageEnglish
Pages (from-to)1723-1740
Number of pages18
JournalInternational Journal of Computer Mathematics
Volume93
Issue number10
DOIs
Publication statusPublished - 2 Oct 2016

Keywords

  • anti-tridiagonal matrices
  • Chebyshev polynomials

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