Chebyshev polynomials and r-circulant matrices

Zoran Pucanović and Marko Pešović

Applied Mathematics and Computation, 2023, vol. 437, issue C

Abstract: This paper connects two attractive topics in applied mathematics, r-circulant matrices and the Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials of the first or second kind are considered. Then, estimates for spectral norm bounds of such matrices are presented. The relevance of the obtained results was verified by applying them to some of the previous results on r-circulant matrices involving various integer sequences. The acquired results justify the usefulness of the applied approach.

Keywords: Chebyshev polynomials; r-circulant matrix; Matrix norms; Integer sequences (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322005951

DOI: 10.1016/j.amc.2022.127521

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