On the norms and eigenvalues of \(r\)-circulant matrices with \(k\)-Mersenne and \(k\)-Mersenne-Lucas numbers

DOI10.1134/s0001434623090225MaRDI QIDQ6063052

Engin Özkan, Jagmohan Tanti, Munesh Kumari, Kalika Prasad

Publication date: 7 November 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesLucas numbersnormscirculant matricesMersenne numbers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

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• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• Differential equations involving circulant matrices
• The spectral norms of geometric circulant matrices with the generalized \(k\)-Horadam numbers
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• An application of Fibonacci sequences in groups
• New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers
• Generalized inverses of certain Toeplitz matrices
• The Method of Fundamental Solutions for Solving Exterior Axisymmetric Helmholtz Problems with High Wave-Number
• APPLICATIONS OF LEFT CIRCULANT MATRICES IN SIGNAL AND IMAGE PROCESSING
• Mersenne-Lucas hybrid numbers
• Cryptography using generalized Fibonacci matrices with Affine-Hill cipher
• SOME IDENTITIES OF k-MERSENNE NUMBERS
• The Jacobi-Perron algorithm and the algebra of recursive sequences
• On the spectral norm of \(r\)-circulant matrices with the Pell and Pell-Lucas numbers

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