Matrix representations of Toeplitz-plus-Hankel matrix inverses
type: Item
instance of: scholarly article
title: Matrix representations of Toeplitz-plus-Hankel matrix inverses
zbMATH Open document ID: 0663.15009
DOI: 10.1016/0024-3795(89)90286-3
author: G. Heinig
author: Karla Rost
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
review text: Some matrix representations for the inverses of Toeplitz-plus-Hankel \((T+H)\) matrices are given as well as for \(T+H\)-Bézoutians introduced before by the authors. This representation is given as sum of products of triangular \(T+H\)-matrices. The conditions for these inverses are determined by some columns and rows of the inverse matrix or by solutions of certain homogeneous fundamental equations.
reviewed by: Radu Ursianu
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 4083828
zbMATH Keywords: inverses of Toeplitz-plus-Hankel matrices
zbMATH Keywords: matrix representations
zbMATH Keywords: inverse matrix
zbMATH Keywords: fundamental equations
MaRDI profile type: Publication
full work available at URL: 0024-3795(89)90286-3
OpenAlex ID: W2013452717
cites work: Algebraic methods for Toeplitz-like matrices and operators
cites work: Q4097423
cites work: On the inverses of Toeplitz-plus-Hankel matrices
description: scientific article; zbMATH DE number 4083828