On the spectral norms of r-circulant and geometric circulant matrices with the bi-periodic hyper-Horadam sequence

DOI10.7153/jmi-2023-17-55zbMath1529.15016OpenAlexW4387716514MaRDI QIDQ6054129

Nassima Belaggoun, Hacène Belbachir

Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-55

zbMATH Keywords

spectral norms\(r\)-circulant matrixgeometric circulant matrixEuclidean normsbi-periodic hyper-Horadam sequence

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Two generalizations of Lucas sequence
• On the bounds for the spectral norms of geometric circulant matrices
• A note on generalized \(k\)-Horadam sequence
• A note on generalized Fibonacci sequences
• The spectral norm of a nonnegative matrix
• Some remarks on matrix norms, condition numbers, and error estimates for linear equations
• Hadamard inverses, square roots and products of almost semidefinite matrices
• Spectral decomposition of real circulant matrices
• On \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbers
• On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers
• On the norms of an \(r\)-circulant matrix with the generalized \(k\)-Horadam numbers
• On the norms of r-circulant matrices with the hyperharmonic numbers
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• On some generalizations of Horadam’s numbers
• ON THE BOUNDS FOR THE SPECTRAL NORMS OF GEOMETRIC AND R-CIRCULANT MATRICES WITH BI-PERIODIC JACOBSTHAL NUMBERS
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