A note on \(\sin\Theta\) theorems for singular subspace variations
type: Item
instance of: scholarly article
title: A note on \(\sin\Theta\) theorems for singular subspace variations
zbMATH Open document ID: 0961.65034
DOI: 10.1023/A:1022303426500
author: Froilán M. Dopico
published in: BIT
publication date: 2001-05-16T00:00:00Z
review text: The author proves new perturbation theorems (Theorems 2.1 and 2.2) for bases of singular subspaces. These theorems are too technical to reproduce here. They complement the absolute and relative \(\sin\Theta\) theorems for singular subspaces. The author's results are important since they provide information about the relationship between the simultaneous bases of the perturbed left and right singular subspaces and the corresponding unperturbed simultaneous bases.
reviewed by: George Csordas
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 1496099
zbMATH Keywords: singular value decomposition
zbMATH Keywords: perturbation bounds
zbMATH Keywords: \(\sin \Theta\) theorems
zbMATH Keywords: simultaneous bases
zbMATH Keywords: singular subspaces
MaRDI profile type: Publication
full work available at URL: a:1022303426500
OpenAlex ID: W156207838
description: scientific article; zbMATH DE number 1496099