1978International Journal of Systems ScienceRequires access

A survey of Toeplitz and related matrices

PAMELA A. ROEBUCK, Stephen M. Barnett

Open publisher page 36 citations

Abstract

Properties and definitions of Toeplitz and related matrices scattered throughout the literature are collected together, and presented in a unified form. Toeplitz, ortho-symmetric, Hankel, persymmetric, circulant and centrosymmetric matrices are covered. Inversion algorithms for general, special and block Toeplitz matrices are outlined. A considerable number of references is given

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What this paper is about

Properties and definitions of Toeplitz and related matrices scattered throughout the literature are collected together, and presented in a unified form. Toeplitz, ortho-symmetric, Hankel, persymmetric, circulant and centrosymmetric matrices are covered. Inversion algorithms for general, special and block Toeplitz matrices are outlined. A considerable number of references is given

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Available abstract

Properties and definitions of Toeplitz and related matrices scattered throughout the literature are collected together, and presented in a unified form. Toeplitz, ortho-symmetric, Hankel, persymmetric, circulant and centrosymmetric matrices are covered. Inversion algorithms for general, special and block Toeplitz matrices are outlined. A considerable number of references is given

Key concepts: Toeplitz matrix, Circulant matrix, Levinson recursion, Mathematics, Algebra over a field, Pure mathematics, Discrete mathematics

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