Wutiphol Sintunavarat - Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand.
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.
Wutiphol Sintunavarat, 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 Applications, 9 (2016), no. 1, 92--101
Sintunavarat Wutiphol, The upper bound estimation for the spectral norm of \(r\)-circulant and symmetric \(r\)-circulant matrices with the Padovan sequence. J. Nonlinear Sci. Appl. (2016); 9(1):92--101
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 Applications, 9, no. 1 (2016): 92--101
