On the inverse of circulant matrix via generalized \(k\)-Horadam numbers

DOI10.1016/j.amc.2013.07.078zbMath1334.15076OpenAlexW2058782389MaRDI QIDQ907535

Yasin Yazlik, Necati Taškara

Publication date: 25 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.07.078

zbMATH Keywords

determinantinversecirculant matrixgeneralized \(k\)-Horadam number

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Toeplitz, Cauchy, and related matrices (15B05) Fuzzy matrices (15B15)

Related Items (14)

On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers ⋮ On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers ⋮ On k-circulant matrices with the Lucas numbers ⋮ The spectral norms of geometric circulant matrices with the generalized \(k\)-Horadam numbers ⋮ Virtual cyclic cellular automata, finite group actions and recursive properties ⋮ The group inverse of some circulant matrices ⋮ The inverses of some circulant matrices ⋮ A closed formula for the inverse of a reversible cellular automaton with \((2 R + 1)\)-cyclic rule ⋮ A note on certain matrices withh(x)– Fibonacci quaternion polynomials ⋮ Drazin inverse of singular adjacency matrices of directed weighted cycles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Determinants and inverses of circulant matrices with complex Fibonacci numbers ⋮ On the determinants and inverses of R-circulant matrices with the biperiodic Fibonacci and Lucas numbers

Cites Work

• A note on generalized \(k\)-Horadam sequence
• On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
• On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers
• On the Fibonacci \(k\)-numbers
• On the inversion of circulant matrices
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