A survey of Toeplitz and related matrices

DOI10.1080/00207727808941749zbMath0385.15010OpenAlexW2021526177MaRDI QIDQ4165469

Pamela A. Roebuck, Stephen Barnett

Publication date: 1978

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727808941749

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

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Cites Work

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• Toeplitz arrays, linear sequence transformations and orthogonal polynomials
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• A new class of matrices with positive inverses
• Numerical solution of linear equations with Toeplitz and vector Toeplitz matrices
• An Algorithm for the Inversion of Block Matrices of Toeplitz Form
• Über eine Methode zur numerischen Lösung der Poissonschen Differenzengleichung für beliebige Gebiete
• Canonical matrix fraction and state-space descriptions for deterministic and stochastic linear systems
• A view of three decades of linear filtering theory
• On the Inverse of Some Covariance Matrices of Toeplitz Type
• On the inverses of a class of toeplitz matrices of band width five
• Circulant Matrices and Algebraic Equations
• An Algorithm for the Inversion of Finite Toeplitz Matrices
• Toeplitz Determinants and Szegö's Formula
• Mth Power of an N × N Matrix and Its Connection with the Generalized Lucas Polynomials
• Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
• Bezoutiants, Elimination and Localization
• Associated Polynomials and Uniform Methods for the Solution of Linear Problems
• Block Toeplitz Matrix Inversion
• An Algorithm for Inverting Positive Definite Toeplitz Matrices
• Inversion of Persymmetric Matrices Having Toeplitz Inverses
• On the inversion of circulant matrices