An explicit formula for the determinant of a skew-symmetric pentadiagonal Toeplitz matrix

DOI10.1016/j.amc.2011.08.091zbMath1245.15013OpenAlexW2037295915MaRDI QIDQ426374

Mohamed Elouafi

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.091

zbMATH Keywords

Chebyshev polynomialsToeplitz matrixPfaffiandeterminatsskew-symmetric pentadiagonal matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (11)

An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems ⋮ A note on a fast breakdown-free algorithm for computing the determinants and the permanents of \(k\)-tridiagonal matrices ⋮ Explicit inversion of Band Toeplitz matrices by discrete Fourier transform ⋮ Anti-diagonalization theory and algorithm of matrices -- from skew-symmetric matrices to arbitrary matrices ⋮ Eigenpairs of some imperfect pentadiagonal Toeplitz matrices ⋮ Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion ⋮ Pfaffians of Toeplitz payoff matrices ⋮ On a homogeneous recurrence relation for the determinants of general pentadiagonal Toeplitz matrices ⋮ On singular values related to DAEs in Kronecker canonical form ⋮ Some determinantal considerations for pentadiagonal matrices ⋮ Determinants of some pentadiagonal matrices

Cites Work

• Unnamed Item
• A computational algorithm for special \(n\)th-order pentadiagonal Toeplitz determinants
• On the characteristic polynomial, eigenvectors and determinant of a pentadiagonal matrix
• On Direct Methods for Solving Poisson’s Equations

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