A Widom like formula for some Toeplitz plus Hankel determinants

DOI10.1016/j.jmaa.2014.08.043zbMath1300.15003OpenAlexW2093562420MaRDI QIDQ458317

Mohamed Elouafi

Publication date: 7 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.043

zbMATH Keywords

Chebyshev polynomialsLaurent polynomialToeplitz plus Hankel determinantsWidom formula

Mathematics Subject Classification ID

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

Related Items (8)

On formulae for the determinant of symmetric pentadiagonal Toeplitz matrices ⋮ Symmetric polynomials in the symplectic alphabet and the change of variables \(z_j = x_j + x_j^{-1}\) ⋮ Explicit inversion of Band Toeplitz matrices by discrete Fourier transform ⋮ Hankel determinants for generating functions of Catalan-like numbers ⋮ A unified approach for the Hankel determinants of classical combinatorial numbers ⋮ Cyclic displacements and decompositions of inverse matrices for CUPL Toeplitz matrices ⋮ Exact equivalences and phase discrepancies between random matrix ensembles ⋮ Matrix models for classical groups and Toeplitz ± Hankel minors with applications to Chern–Simons theory and fermionic models

Cites Work

• On a relationship between Chebyshev polynomials and Toeplitz determinants
• An eigenvalue localization theorem for pentadiagonal symmetric Toeplitz matrices
• Determinants and their applications in mathematical physics
• Finding eigenvalues for heptadiagonal symmetric Toeplitz matrices
• On The Eigenvalues of Certain Hermitian Operators
• Determinant computations for some classes of Toeplitz-Hankel matrices
• Spectral Properties of Banded Toeplitz Matrices
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