On the determination of a tridiagonal matrix from its spectrum and a submatrix
type: Item
instance of: scholarly article
title: On the determination of a tridiagonal matrix from its spectrum and a submatrix
zbMATH Open document ID: 0541.15004
DOI: 10.1016/0024-3795(84)90069-7
author: T. Nanda
author: Percy A. Deift
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: Zu gegebenen reellen Eigenwerten \(\lambda_ 1<\lambda_ 2<...<\lambda_{2n}\) bestimmen Verff. alle \(n\times n\)- Tridiagonalmatrizen \(S=(s_{i,k}) (s_{i,k}=s_{k,i}\), \(s_{i,k}=0\) für \(k>i+1\), \(s_{i,i+1}>0)\), die sich zu 2\(n\times 2n\)- Tridiagonalmatrizen mit dem gegebenen Spektrum erweitern lassen. Die Menge dieser Matrizen ist Schnitt einer Hyperebene mit einem Kegel.
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 3859316
zbMATH Keywords: spectrum
zbMATH Keywords: submatrix
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: tridiagonal matrices
reviewed by: Hans-Joachim Kowalsky
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90069-7
OpenAlex ID: W2020995832
cites work: On the construction of a Jacobi matrix from mixed given data
cites work: Nonlinear wave equations and constrained harmonic motion
cites work: On the construction of a Jacobi matrix from spectral data
cites work: Inverse eigenvalue problems for Jacobi matrices
cites work: An Inverse Sturm–Liouville Problem with Mixed Given Data
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description: scientific article; zbMATH DE number 3859316