On inversion of square matrices partitioned into non-square blocks
type: Item
instance of: scholarly article
title: On inversion of square matrices partitioned into non-square blocks
zbMATH Open document ID: 0676.15002
DOI: 10.1007/BF01199458
published in: Integral Equations and Operator Theory
publication date: 1989-01-01T00:00:00Z
review text: The authors define a generalized block Toeplitz matrix to be a \(k_ 1\times k_ 2\) block matrix T whose (i,j)th block is an \(n_ 1\times n_ 2\) matrix \(a_{i-j}\) with \(k_ 1n_ 1=k_ 2n_ 2\). They extend methods of \textit{A. Ben-Artzi} and the second author [Linear Algebra Appl. 75, 173-192 (1986; Zbl 0586.15005)] to obtain inversion theorems for this class of matrices, and derive similar results for block Vandermonde matrices.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 4107005
zbMATH Keywords: block Toeplitz matrix
zbMATH Keywords: inversion theorems
zbMATH Keywords: block Vandermonde matrices
author: I. Gohberg
author: Tamir Shalom
MaRDI profile type: Publication
cites work: On inversion of Toeplitz and close to Toeplitz matrices
cites work: On inversion of block Toeplitz matrices
cites work: Q4103681
cites work: Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
full work available at URL: https://doi.org/10.1007/bf01199458
OpenAlex ID: W1967118085
description: scientific article; zbMATH DE number 4107005