The structured distance to nearly normal matrices
type: Item
instance of: scholarly article
title: The structured distance to nearly normal matrices
zbMATH Open document ID: 1191.65044
author: Laura Smithies
publication date: 2010-04-14T00:00:00Z
full work available at URL: https://eudml.org/doc/229877
full work available at URL: pp99-112.pdf
review text: The author studies the class of complex tridiagonal \(n \times n\) matrices \(T\) such that \(T^*T-T T^*=\Delta\), where \(\Delta\) is a fixed real diagonal matrix. Some results concerning the characterization of these matrices, with respect to the diagonal matrix \(\Delta\), together with various distance-type formulas based on the Frobenius norm are also derived.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 5692979
zbMATH Keywords: nearness to normality
zbMATH Keywords: tridiagonal matrix
zbMATH Keywords: Krein spaces
zbMATH Keywords: eigenvalue estimation
zbMATH Keywords: Gershgorin type sets
MaRDI profile type: Publication
published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 5692979