Chebyshev polynomials and r-circulant matrices
Само за регистроване кориснике
2022
Чланак у часопису (Рецензирана верзија)
Метаподаци
Приказ свих података о документуАпстракт
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
Кључне речи:
Chebyshev polynomials / r-circulant matrix / Matrix norms / Integer sequencesИзвор:
Applied Mathematics and Computation, 2022Издавач:
- Applied Mathematics and Computation
Финансирање / пројекти:
- Топологија, геометрија и глобална анализа на многострукостима и дискретним структурама (RS-MESTD-Basic Research (BR or ON)-174034)
Колекције
Институција/група
GraFarTY - 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 . .