Inverse eigenvalue problems associated with spring-mass systems
type: Item
instance of: scholarly article
title: Inverse eigenvalue problems associated with spring-mass systems
zbMATH Open document ID: 0879.15007
DOI: 10.1016/S0024-3795(96)00316-3
author: Frank Uhlig
author: Peter M. Nylen
published in: Linear Algebra and its Applications
publication date: 1997-12-11T00:00:00Z
review text: The authors establish necessary and sufficient conditions for the existence of unique Jacobi matrices \(T_{1,j}\) and \(T_{j+1,n}\), of orders \(j\times j\) and \((n-j)\times (n-j)\) respectively, such that \(T_{1,j}\), \(T_{j+1,n}\) and a certain rank one perturbation of \(T_{1,j}\oplus T_{j+1,n}\) have specified eigenvalues. They also examine the implications for ideal spring-mass systems of this result and of some related known results on inverse eigenvalue problems for Jacobi matrices.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 70J99
Mathematics Subject Classification ID: 70J10
zbMATH DE Number: 1000062
zbMATH Keywords: inverse eigenvalue problems
zbMATH Keywords: Jacobi matrices
zbMATH Keywords: spring-mass systems
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1000062