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

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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
Issue number10
Publication statusPublished - 2 Oct 2016


  • anti-tridiagonal matrices
  • Chebyshev polynomials


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