The inverses of some circulant matrices

DOI10.1016/j.amc.2015.08.084zbMath1410.15051arXiv1505.07598OpenAlexW1447816003MaRDI QIDQ670843

Juan-Miguel Gracia

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1505.07598

zbMATH Keywords

Chebyshev polynomialsdifference equationsinverse matrixcirculant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Special sequences and polynomials (11B83) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (14)

Computing the number of finite field elements with prescribed absolute trace and co-trace ⋮ Group inverses of adjacency matrices of cycles, wheels and brooms ⋮ Group inverse of the Laplacian of connections of networks ⋮ Correlation matrices of Gaussian Markov random fields over cycle graphs ⋮ A note on r-circulant matrices involving generalized Narayana numbers ⋮ Unnamed Item ⋮ The group inverse of some circulant matrices ⋮ Kirchhoff index of a non-complete wheel ⋮ Kirchhoff index of the connections of two networks by an edge ⋮ The group inverse of circulant matrices depending on four parameters ⋮ The inverse of circulant matrices over \(\mathrm{GF}(2^m )\) ⋮ Second order linear difference equations ⋮ Drazin inverse of singular adjacency matrices of directed weighted cycles ⋮ Boundary value problems for second order linear difference equations: application to the computation of the inverse of generalized Jacobi matrices

Cites Work

• The inverse of circulant matrix
• On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
• On the inverse of circulant matrix via generalized \(k\)-Horadam numbers
• Generalized inverses of symmetric \(M\)-matrices
• A new method for solving symmetric circulant tridiagonal systems of linear equations
• Inverse matrix of symmetric circulant matrix on skew field
• Eigenvalues, eigenfunctions and Green's functions on a path via Chebyshev polynomials
• Fibonacci, Chebyshev, and Orthogonal Polynomials
• Green operators of networks with a new vertex
• Unnamed Item
• Unnamed Item

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