A note on conjugate Toeplitz matrices
type: Item
instance of: scholarly article
title: A note on conjugate Toeplitz matrices
zbMATH Open document ID: 0705.15010
DOI: 10.1016/0024-3795(90)90391-O
author: Ntumba Tshimvunda Keliba
author: Dirk Huylebrouck
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: Based on elementary results about arbitrary partioned matrices, the authors propose an expression for the elements inside the inverse matrix of an r-Toeplitz and a conjugate Toeplitz matrix. A necessary condition for the application of the generalized Trench algorithm developed by \textit{S. Barnett} and \textit{M. J. C. Gover} [Linear Multilinear Algebra 14, 45- 65 (1983; Zbl 0536.15011)] is discussed. It follows a contradiction of an assertion of the same authors [J. Math. Anal. Appl. 100, 339-353 (1984; Zbl 0547.65022)].
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F05
zbMATH DE Number: 4156665
zbMATH Keywords: matrix inversion
zbMATH Keywords: partioned matrices
zbMATH Keywords: conjugate Toeplitz matrix
zbMATH Keywords: Trench algorithm
reviewed by: Gabriele Steidl
MaRDI profile type: Publication
cites work: Some extensions of Hankel and Toeplitz matrices
cites work: Inversion of certain extensions of Toeplitz matrices
cites work: Inversion of Toeplitz Matrices which are not Strongly Non-singular
cites work: Characterization and properties of r-Toeplitz matrices
cites work: An Algorithm for the Inversion of Finite Toeplitz Matrices
cites work: Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
full work available at URL: 0024-3795(90)90391-o
OpenAlex ID: W2085539852
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description: scientific article; zbMATH DE number 4156665