On $k$-circulant matrices involving the Jacobsthal numbers
نویسندگان
چکیده
منابع مشابه
Some Bounds for the Norms of Circulant Matrices with the k-Jacobsthal and k-Jacobsthal Lucas Numbers
Abstract In this paper we investigate upper and lower bounds of the norms of the circulant matrices whose elements are k−Jacobsthal numbers and k−Jacobsthal Lucas numbers.
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Circulant matrix family occurs in various fields, applied in image processing, communications, signal processing, encoding and preconditioner. Meanwhile, the circulant matrices [1, 2] have been extended in many directions recently. The f(x)-circulant matrix is another natural extension of the research category, please refer to [3, 11]. Recently, some authors researched the circulant type matric...
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This paper is an improving of the work from [6], in which the upper and lower bounds for the spectral norms of the matrices An = Circ(F (k,h) 0 , F (k,h) 1 , · · · , F (k,h) n−1 ) and Bn = Circ(L (k,h) 0 , L (k,h) 1 , · · · , L (k,h) n−1 ) are established. In this new paper, we compute the spectral norms of these matrices. Mathematics Subject Classification: 15A45, 15A60
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In this paper, we give upper and lower bounds for the spectral norms of circulant matrices A n = Circ(F n−1) and B n = Circ(L (k,h) n and L (k,h) n are the (k, h)-Fibonacci and (k, h)-Lucas numbers, then we obtain some bounds for the spectral norms of Kronecker and Hadamard products of these matrices.
متن کاملOn the Spectral Norms of r-Circulant Matrices with the k-Fibonacci and k-Lucas Numbers
Abstract In this paper, we consider the k -Fibonacci and k -Lucas sequences {Fk,n}n∈N and {Lk,n}n∈N . Let A = Cr(Fk,0, Fk,1, · · · , Fk,n−1) and B = Cr(Lk,0, Lk,1, · · · , Lk,n−1) be r -circulant matrices. Afterwards, we give upper and lower bounds for the spectral norms of matrices A and B. In addition, we obtain some bounds for the spectral norms of Hadamard and Kronecker products of these ma...
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ژورنال
عنوان ژورنال: Revista de la Unión Matemática Argentina
سال: 2019
ISSN: 1669-9637,0041-6932
DOI: 10.33044/revuma.v60n2a10