Displacement rank and quasitriangular decomposition for r-Toeplitz matrices
type: Item
instance of: scholarly article
title: Displacement rank and quasitriangular decomposition for r-Toeplitz matrices
zbMATH Open document ID: 0622.65020
DOI: 10.1016/0024-3795(87)90115-7
author: B. George
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The paper is concerned with the class of r-Toeplitz (rT) matrices. The concept of displacement rank is extended to rT matrices, and it is shown that both an rT matrix and its inverse can be expressed as the sum of at most two products of rT matrices. An explicit expression for the sum is given for the inverse of an rT matrix. The results presented generalize known properties of Toeplitz and block Toeplitz matrices.
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 4009646
zbMATH Keywords: r-Toeplitz matrices
zbMATH Keywords: factorization
zbMATH Keywords: matrix inversion
zbMATH Keywords: displacement rank
zbMATH Keywords: block Toeplitz matrices
reviewed by: Andras Varga
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90115-7
OpenAlex ID: W2055966548
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description: scientific article; zbMATH DE number 4009646