A note on r-circulant matrices involving generalized Narayana numbers
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In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible.
Keywords:
Narayana’s cows sequence / r-circulant matrix / Euclidean and spectral norm / eigenvaluesSource:
Journal of Mathematical Inequalities, 2023, 17Publisher:
- Journal of Mathematical Inequalities
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- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200092 (University of Belgrade, Faculty of Civil Engineering) (RS-MESTD-inst-2020-200092)
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GraFarTY - JOUR AU - Pešović, Marko AU - Pucanović, Zoran PY - 2023 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3456 AB - In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible. PB - Journal of Mathematical Inequalities T2 - Journal of Mathematical Inequalities T1 - A note on r-circulant matrices involving generalized Narayana numbers VL - 17 DO - 10.7153/jmi-2023-17-84 ER -
@article{ author = "Pešović, Marko and Pucanović, Zoran", year = "2023", abstract = "In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and their eigenvalues are determined. Moreover, the conditions under which the circulant matrix and the skew circulant matrix involving generalized Narayana numbers are invertible are given. In particular, it is shown that every circulant matrix with Narayana numbers is necessarily invertible.", publisher = "Journal of Mathematical Inequalities", journal = "Journal of Mathematical Inequalities", title = "A note on r-circulant matrices involving generalized Narayana numbers", volume = "17", doi = "10.7153/jmi-2023-17-84" }
Pešović, M.,& Pucanović, Z.. (2023). A note on r-circulant matrices involving generalized Narayana numbers. in Journal of Mathematical Inequalities Journal of Mathematical Inequalities., 17. https://doi.org/10.7153/jmi-2023-17-84
Pešović M, Pucanović Z. A note on r-circulant matrices involving generalized Narayana numbers. in Journal of Mathematical Inequalities. 2023;17. doi:10.7153/jmi-2023-17-84 .
Pešović, Marko, Pucanović, Zoran, "A note on r-circulant matrices involving generalized Narayana numbers" in Journal of Mathematical Inequalities, 17 (2023), https://doi.org/10.7153/jmi-2023-17-84 . .