Generalized inverses of Hankel and Toeplitz mosaic matrices
type: Item
instance of: scholarly article
title: Generalized inverses of Hankel and Toeplitz mosaic matrices
zbMATH Open document ID: 0833.15003
DOI: 10.1016/0024-3795(93)00097-J
author: G. Heinig
published in: Linear Algebra and its Applications
publication date: 1996-03-18T00:00:00Z
review text: Hankel and Toeplitz mosaic matrices are block matrices with Hankel and Toeplitz blocks respectively. The author considers several kinds of generalized inverses of Hankel and Toeplitz mosaic matrices (reflexive generalized inverse, inner generalized inverse, Moore-Penrose inverse and group inverse) and defines the structure of the Bezoutian. The aim of this paper is to generalize known theorems on generalized inverses, with the structure of Bezoutian, of Hankel and Toeplitz matrices, to Hankel and Toeplitz mosaic matrices.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 753880
zbMATH Keywords: reflexive generalized inverse
zbMATH Keywords: Hankel and Toeplitz mosaic matrices
zbMATH Keywords: block matrices
zbMATH Keywords: inner generalized inverse
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: group inverse
reviewed by: Takayuki Nôno
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 753880