Solutions of a quadratic inverse eigenvalue problem for damped gyroscopic second-order systems
type: Item
instance of: scholarly article
title: Solutions of a quadratic inverse eigenvalue problem for damped gyroscopic second-order systems
zbMATH Open document ID: 1406.15019
DOI: 10.1155/2014/703178
author: Hong-Xiu Zhong
author: Guoliang Chen
author: Xiangyun Zhang
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: Given \(k\) pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing \(n\times n\) real matrices \(M\), \(D\), \(G\), and \(K\), where \(M>0\), \(K\) and \(D\) are symmetric, and \(G\) is skew-symmetric, so that the quadratic pencil \(Q(\lambda)=\lambda^2 M + \lambda(D+G) + K\) has the given \(k\) pairs as eigenpairs. First, we construct a general solution to this problem with \(k\leq n\). Then, with the special properties \(D=0\) and \(K< 0\), we construct a particular solution. Numerical results illustrate these solutions.
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 7010719
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/703178
OpenAlex ID: W2010561609
Wikidata QID: Q59054130
description: scientific article; zbMATH DE number 7010719