Chebyshev polynomials and r-circulant matrices

Pucanović, Zoran; Pešović, Marko

doi:10.1016/j.amc.2022.127521

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2022

Authors

Pucanović, Zoran

Pešović, Marko

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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

Source:
Applied Mathematics and Computation, 2022

Publisher:

Applied Mathematics and Computation

Funding / projects:

Topology, geometry and global analysis on manifolds and discrete structures (RS-174034)

DOI: 10.1016/j.amc.2022.127521

ISSN: 0096-3003

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URI

https://grafar.grf.bg.ac.rs/handle/123456789/2703

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GraFar

TY  - JOUR
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2703
AB  - 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
PB  - Applied Mathematics and Computation
T2  - Applied Mathematics and Computation
T1  - Chebyshev polynomials and r-circulant matrices
DO  - 10.1016/j.amc.2022.127521
ER  -

@article{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2022",
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",
publisher = "Applied Mathematics and Computation",
journal = "Applied Mathematics and Computation",
title = "Chebyshev polynomials and r-circulant matrices",
doi = "10.1016/j.amc.2022.127521"
}

Pucanović, Z.,& Pešović, M.. (2022). Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation
Applied Mathematics and Computation..
https://doi.org/10.1016/j.amc.2022.127521

Pucanović Z, Pešović M. Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation. 2022;.
doi:10.1016/j.amc.2022.127521 .

Pucanović, Zoran, Pešović, Marko, "Chebyshev polynomials and r-circulant matrices" in Applied Mathematics and Computation (2022),
https://doi.org/10.1016/j.amc.2022.127521 . .