Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians
type: Item
instance of: scholarly article
title: Centro-symmetric and centro-skewsymmetric Toeplitz matrices and Bézoutians
zbMATH Open document ID: 0995.15022
DOI: 10.1016/S0024-3795(01)00342-1
author: G. Heinig
author: Karla Rost
published in: Linear Algebra and its Applications
publication date: 2002-05-15T00:00:00Z
review text: The symmetry properties of the Toeplitz matrix \(T\) are reflected in corresponding symmetries of a fundamental system of \(T\). The fundamental system of centro-symmetric and centro-skewsymmetric matrices is characterized. The fundamental system of a skewsymmetric Toeplitz matrix consists of two symmetric polynomials of even degree. All centro-symmetric and centro-skewsymmetric generalized Bézoutians are described. The representation of inverses of symmetric and skewsymmetric Toeplitz matrices by special equations is discussed.
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 1741661
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: centro-symmetric and centro-skewsymmetric matrices
zbMATH Keywords: Bézoutians
zbMATH Keywords: inverses
zbMATH Keywords: symmetric and skewsymmetric Toeplitz matrices
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1741661