Explicit inversion of Band Toeplitz matrices by discrete Fourier transform

DOI10.1080/03081087.2017.1373729zbMath1396.15026OpenAlexW2753703557MaRDI QIDQ4580049

Mohamed Elouafi

Publication date: 13 August 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1373729

zbMATH Keywords

discrete Fourier transformToeplitz determinantVandermonde determinantsymmetric elementary function

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Characterizations and accurate computations for tridiagonal Toeplitz matrices ⋮ On computing the eigenvalues of band Toeplitz matrices ⋮ Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

Cites Work

• An explicit formula for the determinant of a skew-symmetric pentadiagonal Toeplitz matrix
• A Widom like formula for some Toeplitz plus Hankel determinants
• On a relationship between Chebyshev polynomials and Toeplitz determinants
• An eigenvalue localization theorem for pentadiagonal symmetric Toeplitz matrices
• Inversion of band matrices
• The inverses of Toeplitz band matrices
• A note for an explicit formula for the determinant of pentadiagonal and heptadiagonal symmetric Toeplitz matrices
• Explicit Inversion Formulas for Toeplitz Band Matrices
• Inversion of Toeplitz Band Matrices
• Explicit inverses of some tridiagonal matrices
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