On a matrix decomposition of Hartwig and Spindelböck
type: Item
instance of: scholarly article
title: On a matrix decomposition of Hartwig and Spindelböck
zbMATH Open document ID: 1180.15004
author: Oskar Maria Baksalary
author: George P. H. Styan
author: Götz Trenkler
published in: Linear Algebra and its Applications
publication date: 2009-05-12T00:00:00Z
review text: Partial isometries and partial isometries combined with EP matrices are characterized by means of a result on unitary similarity derived by \textit{R. E. Hartwig} and \textit{K. Spindelböck} [Linear Multilinear Algebra 14, 241--256 (1983; Zbl 0525.15006)]. In addition, Hartwig's factorization is also used to study different matrix partial orderings.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 5552976
zbMATH Keywords: group inverse
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: \(\{g\}\)-inverse
zbMATH Keywords: Drazin inverse
zbMATH Keywords: GP matrix
zbMATH Keywords: EP matrix
zbMATH Keywords: partial isometry
zbMATH Keywords: star-degger
zbMATH Keywords: matrix
zbMATH Keywords: idemptent matrix
zbMATH Keywords: projector
zbMATH Keywords: quadripotent matrix
zbMATH Keywords: core matrix
zbMATH Keywords: noncore matrix
zbMATH Keywords: star partial ordering
zbMATH Keywords: sharp partial ordering
zbMATH Keywords: minus partial ordering
reviewed by: Néstor Thome
MaRDI profile type: Publication
full work available at URL: j.laa.2009.01.015
OpenAlex ID: W2105432417
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DOI: 10.1016/J.LAA.2009.01.015
description: scientific article; zbMATH DE number 5552976