Integer Powers of Anti-Bidiagonal Hankel Matrices

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In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.

Original languageEnglish
Pages (from-to)87-98
Number of pages12
JournalIndian Journal of Pure and Applied Mathematics
Issue number1
Publication statusPublished - 1 Mar 2018


  • anti-bidiagonal matrices
  • Chebyshev polynomials
  • Hankel matrices

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