On the Bounds for the Norms of R-Circulant Matrices With the Jacobsthal and Jacobsthal Lucas Numbers

Uygun, c{S}.

doi:10.12732/ijpam.v112i1.7

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2021

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Cited by 2 publications

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“…Second order Fibonacci, Lucas [5, 6, 10, 30] Pell, Pell-Lucas [1, 31] Jacobsthal, Jacobsthal-Lucas [15,32,33,34] Third order Tribonacci, Tribonacci-Lucas [9, 16, 17] Padovan, Perrin [3,12,18] Fourth order Tetranacci, Tetranacci-Lucas [11] Table 1. Papers on the norms…”

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confidence: 99%

On k-circulant matrices with the generalized third-order Pell numbers

Soykan¹

2021

NNTDM

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In this paper, we obtain explicit forms of the sum of entries, the maximum column sum matrix norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of k-circulant matrix with the generalized third-order Pell numbers. We also study the spectral norm of this k-circulant matrix. Furthermore, some numerical results for demonstrating the validity of the hypotheses of our results are given.

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Section: Order Name Of Sequence Papersmentioning

confidence: 99%

On k-circulant matrices with the generalized third-order Pell numbers

Soykan¹

2021

NNTDM

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Explicit Euclidean Norm, Eigenvalues, Spectral Norm and Determinant of Circulant Matrix with the Generalized Tribonacci Numbers

Soykan

2021

EJMS

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In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers. We also present the sum of entries, the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrix. Moreover, we give some bounds for the spectral norms of Kronecker and Hadamard products of circulant matrices of (r, s, t) and Lucas (r, s, t) numbers.

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On the Bounds for the Norms of R-Circulant Matrices With the Jacobsthal and Jacobsthal Lucas Numbers

Abstract: In this study, we have found upper and lower bounds for the spectral norms of circulant matrices in the forms A = Cr(j0, j1, ..., jn−1) and B = Cr(c0, c1, ..., cn−1). After that we obtain some bounds related to the spectral norms of Hadamard and Kronecker product of these matrices.

Cited by 2 publications

References 5 publications

On k-circulant matrices with the generalized third-order Pell numbers

On k-circulant matrices with the generalized third-order Pell numbers

Explicit Euclidean Norm, Eigenvalues, Spectral Norm and Determinant of Circulant Matrix with the Generalized Tribonacci Numbers

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