An alternative approach to unitoidness
type: Item
instance of: scholarly article
title: An alternative approach to unitoidness
zbMATH Open document ID: 1095.15008
author: Donald W. Robinson
published in: Linear Algebra and its Applications
publication date: 2006-03-16T00:00:00Z
review text: The author extends the work of \textit{C. R. Johnson} and \textit{S. Furtado} [Linear Algebra Appl. 338, 287--290 (2001; Zbl 0993.15011)], who gave a generalization of Sylvester's law of inertia for matrices congruent to a diagonal matrix. Among other things, he expresses the canonical angles of a unitoid matrix \(A\), and their multiplicities, in terms of the eigenvalues and eigenvectors of \(A^{\dagger}A^*\), where \(A^{\dagger}\) is the Moore-Penrose inverse of \(A\).
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 5012989
zbMATH Keywords: Sylvester's law of inertia
zbMATH Keywords: unitoid matrices
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenvectors
zbMATH Keywords: Moore-Penrose inverse
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
full work available at URL: j.laa.2005.08.007
OpenAlex ID: W2076799781
cites work: The range of \(A^{-1} A^*\) in GL(n,C)
cites work: Matrix Analysis
cites work: On the inertia law for normal matrices.
cites work: A generalization of Sylvester's law of inertia
cites work: A Proof of the Frobenius Rank Equality
DOI: 10.1016/J.LAA.2005.08.007
description: scientific article; zbMATH DE number 5012989