Integer powers of anti-tridiagonal matrices of the form antitridiag n (a, 0, b), a, b ∈ ℝ

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Abstract

In this paper we use Chebyshev polynomials to derive a general expression for integer powers of real anti-tridiagonal matrices with constant anti-diagonals and null northeast-to-southwest diagonal.

Original languageEnglish
Pages (from-to)1313-1328
Number of pages16
JournalComputers and Mathematics with Applications
Volume69
Issue number11
DOIs
Publication statusPublished - 1 Jun 2015

Keywords

  • Anti-tridiagonal matrices
  • Chebyshev polynomials
  • Hankel matrices

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