On the Bounds for the Norms of Toeplitz Matrices with the Jacobsthal and Jacobsthal Lucas Numbers

Abstract

In this study, we compute the value of the various norms of the Toeplitz matrices whose elements are Jacobsthal numbers, Jacobsthal Lucas numbers and upper and lower bounds for the spectral norms of these matrices. Also, the Euclidean norm of Kronecker product of Toeplitz matrices with Jacobsthal and the Jacobsthal Lucas numbers are denoted. Finally, the upper bound for the spectral norm of Hadamard product mentioned above matrices are demonstrated.

Keywords

• Jacobsthal,Jacobsthal Lucas sequences,Toeplitz matrices,Hadamard product,Kronecker product

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