Geodesic
The upper bound estimation for the spectral norm of $r$-circulant and symmetric $r$-circulant matrices with the Padovan sequence
Sintunavarat, Wutiphol1
1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 92-101.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we gives an upper bound estimation of the spectral norm for matrices $A$ and $B$ such that the entries in the first row of $n\times n$ $r$-circulant matrix $A = Circ_r(a_1; a_2; ...; a_n)$ and $n\times n$ symmetric $r$-circulant matrix $B = SCirc_r(a_1; a_2; ...; a_n)$ are $a_i = P_i$ or $a_i = P^2 _i$ or $a_i = P_{i-1}$ or $a_i = P^2_{i-1}$, where $\{P_i\}^\infty_{i =0}$ is Padovan sequence. At the last section, some illustrative numerical example is furnished which demonstrate the validity of the hypotheses and degree of utility of our results.
DOI : 10.22436/jnsa.009.01.09
Classification : 15A15, 15A18, 15A24, 15A48
Keywords: r-circulant matrices, symmetric r-circulant matrices, Padovan sequence, Hadamard product.

Sintunavarat, Wutiphol 1

1 Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand 
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Sintunavarat, Wutiphol. The upper bound estimation for the spectral norm of \(r\)-circulant  and symmetric \(r\)-circulant matrices with the Padovan sequence. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 1, p. 92-101. doi : 10.22436/jnsa.009.01.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.01.09/

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