A decreasing sequence of eigenvalue localization regions
type: Item
instance of: scholarly article
title: A decreasing sequence of eigenvalue localization regions
zbMATH Open document ID: 0816.65020
DOI: 10.1016/0024-3795(94)90316-6
author: Oscar Rojo
author: Ricardo L. Soto
author: Héctor Rojo
published in: Linear Algebra and its Applications
publication date: 1994-03-14T00:00:00Z
review text: A decreasing sequence of rectangles \((R_ p)\), \(p \geq 0\), is constructed in such a way that all the eigenvalues of a complex matrix \(A\) of order \(n + 1\), \(n \in \mathbb{N}\), are contained in each rectangle \(R_ p\). When \(A\) is a matrix with real spectrum or a normal matrix, each rectangle \(R_ p\) can be computed without knowing the eigenvalues of the matrix \(A\).
reviewed by: Costică Moroşanu
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A42
zbMATH DE Number: 519702
zbMATH Keywords: eigenvalue localization regions
zbMATH Keywords: real spectrum
zbMATH Keywords: normal matrix
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90316-6
OpenAlex ID: W2002095939
cites work: On Measures of Non-Normality for Matrices
cites work: On non-normal matrices
cites work: Q3222981
cites work: Q5331504
cites work: New conditions for the additive inverse eigenvalue problem for matrices
cites work: Q3376189
cites work: New eigenvalue estimates for complex matrices
cites work: Eigenvalue estimates for symmetric matrices
cites work: Bounds for eigenvalues using traces
cites work: More bounds for eigenvalues using traces
description: scientific article; zbMATH DE number 519702