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Integer Powers of Anti-Bidiagonal Hankel Matrices

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics and GeoBioTec Faculty of Sciences and Technology, NOVA University of Lisbon, Quinta da Torre, 2829-516, Caparica, Portugal

    Jo˜ao Lita da Silva

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  1. Jo˜ao Lita da Silva
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Correspondence to Jo˜ao Lita da Silva.

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da Silva, J.L. Integer Powers of Anti-Bidiagonal Hankel Matrices. Indian J Pure Appl Math 49, 87–98 (2018). https://doi.org/10.1007/s13226-018-0256-9

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  • DOI: https://doi.org/10.1007/s13226-018-0256-9

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