Perturbation bounds for subspaces associated with periodic eigenproblems
type: Item
instance of: scholarly article
title: Perturbation bounds for subspaces associated with periodic eigenproblems
zbMATH Open document ID: 1074.15013
author: Ji-guang Sun
published in: Taiwanese Journal of Mathematics
publication date: 2005-07-05T00:00:00Z
review text: The multivariate eigenproblem with \(A_j\) and \(B_j\) being \(n \times n\) complex matrices is considered. It is assumed that the periodic matrix pairs \(\{ (A_j, B_j) \}^{K}_{j=1}\) with the period \(K > 1\) are regular. The periodic eigenproblem arises in the area of periodic control systems. Here, perturbation bounds for individual subspaces of simple periodic deflating subspaces are derived using an individual condition number for each subspace.
Mathematics Subject Classification ID: 15A22
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A12
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 2186593
zbMATH Keywords: periodic matrix pairs
zbMATH Keywords: periodic deflating subspaces
zbMATH Keywords: condition number
zbMATH Keywords: perturbation bound
zbMATH Keywords: multivariate eigenproblem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500407743
OpenAlex ID: W1936555448
DOI: 10.11650/TWJM/1500407743
description: scientific article; zbMATH DE number 2186593