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Chebyshev polynomials and r-circulant matrices

Author

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  • Pucanović, Zoran
  • Pešović, Marko

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.

Suggested Citation

  • Pucanović, Zoran & Pešović, Marko, 2023. "Chebyshev polynomials and r-circulant matrices," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    • Handle: RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322005951
    DOI: 10.1016/j.amc.2022.127521
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    References listed on IDEAS

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    1. Tan, Elif & Leung, Ho-Hon, 2020. "Some results on Horadam quaternions," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Solak, Süleyman, 2014. "On the spectral norm of the matrix with integer sequences," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 919-921.
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    Cited by:

    1. Vangelis Marinakis & Athanassios S. Fokas & George A. Kastis & Nicholas E. Protonotarios, 2023. "Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography," Mathematics, MDPI, vol. 11(23), pages 1-14, November.

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