The inverses of Toeplitz band matrices

DOI10.1016/0024-3795(83)90097-6zbMath0505.15005OpenAlexW1978628321MaRDI QIDQ1835968

D. S. Meek

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90097-6

zbMATH Keywords

difference equationHessenberg Toeplitz matricesinverse of a Toeplitz band matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (13)

A note on solving nearly triangular Toeplitz systems ⋮ Explicit and asymptotic formulas for \(LDM^ t\) factorization of banded Toeplitz matrices ⋮ A ring of Brownian matrices ⋮ The conditioning of Toeplitz band matrices ⋮ An asynchronous direct solver for banded linear systems ⋮ Explicit inversion of Band Toeplitz matrices by discrete Fourier transform ⋮ A class of symmetric and non-symmetric band matrices via binomial coefficients ⋮ Three results in connection with inverse matrices ⋮ Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows ⋮ Inverse properties of a class of seven-diagonal (near) Toeplitz matrices ⋮ On the eigenvalue problem for Toeplitz band matrices ⋮ Parallelized Solution of Banded Linear Systems with an Introduction to p-adic Computation ⋮ Explicit Inversion Formulas for Toeplitz Band Matrices

Cites Work

• Inversion of band matrices
• Toeplitz matrices with totally nonnegative inverses
• Exact inverses of certain band matrices
• The Contributions of E. T. Whittaker to Algebra and Numerical Analysis
• Inversion of Toeplitz Band Matrices
• On the Inverse of Some Covariance Matrices of Toeplitz Type
• A survey of Toeplitz and related matrices
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• Inversion of certain symmetric band matrices
• Computational Solutions of Matrix Problems Over an Integral Domain
• Some Properties of a Class of Band Matrices

This page was built for publication: The inverses of Toeplitz band matrices