Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices
type: Item
instance of: scholarly article
title: Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices
zbMATH Open document ID: 0949.15024
DOI: 10.1016/S0024-3795(99)00198-6
author: Ninoslav Truhar
author: Ivan Slapničar
published in: Linear Algebra and its Applications
publication date: 2000-11-22T00:00:00Z
review text: A bound for the perturbation of invariant subspaces of non-singular Hermitian matrix \(H=D^*AD\) which is perturbed into \(H+\delta H=D^*(A+\delta A)D\) is given. The bounds require only the knowledge of the size of the relative perturbation \(\|\delta A\|\) and generalize some of the relative perturbation results.
reviewed by: Horst Hollatz
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 1420054
zbMATH Keywords: relative perturbation theory
zbMATH Keywords: eigenvector
zbMATH Keywords: invariant subspace
zbMATH Keywords: indefinite Hermitian matrix
zbMATH Keywords: graded matrix
MaRDI profile type: Publication
Wikidata QID: Q127532751
description: scientific article; zbMATH DE number 1420054