On the skew-symmetric part of the product of Toeplitz matrices
type: Item
instance of: scholarly article
title: On the skew-symmetric part of the product of Toeplitz matrices
zbMATH Open document ID: 0919.15009
DOI: 10.1007/BF02316153
published in: Mathematical Notes
publication date: 1999-03-09T00:00:00Z
review text: Let \(T_1,T_2\) be Toeplitz matrices. Necessary and sufficient conditions are given for the skew-symmetric part \(U= 0.5 (T_1T_2- (T_1T_2)^\top)\) of the product \(T_1T_2\) to be Toeplitz as well. Some problems related to Hankel matrices are considered based on the relation \(H=TP\) between Hankel matrices \(H\) and Toeplitz matrices \(T\), where \(P\) is the permutation matrix with 1's on the main anti-diagonal.
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 1226033
zbMATH Keywords: skew-symmetric part
zbMATH Keywords: product of Toeplitz matrices
zbMATH Keywords: Hankel matrices
author: Kh. D. Ikramov
author: V. N. Chugunov
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
cites work: On algebras of Toeplitz matrices
cites work: Block toeplitz products of block toeplitz matrices
cites work: Toeplitz matrices with Toeplitz inverses revisited
full work available at URL: https://doi.org/10.1007/bf02316153
OpenAlex ID: W1993608919
description: scientific article; zbMATH DE number 1226033