A stability analysis of the Jacobi matrix inverse eigenvalue problem
type: Item
instance of: scholarly article
title: A stability analysis of the Jacobi matrix inverse eigenvalue problem
zbMATH Open document ID: 0802.15010
DOI: 10.1007/BF01990544
published in: BIT
publication date: 1994-03-22T00:00:00Z
review text: For the problem of finding tridiagonal realizations of two sets of numbers that satisfy Cauchy interlacing, this paper gives an explicit bound for the difference between two such tridiagonal realizations for different sets of desired eigenvalues.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 536869
zbMATH Keywords: stability
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: Jacobi matrix
zbMATH Keywords: tridiagonal
zbMATH Keywords: Cauchy interlacing
author: Shu-Fang Xu
reviewed by: Frank Uhlig
MaRDI profile type: Publication
cites work: A survey of matrix inverse eigenvalue problems
cites work: Norm estimates for inverses of Vandermonde matrices
cites work: Inverse eigenvalue problems for Jacobi matrices
cites work: Perturbation bounds for the Cholesky and QR factorizations
description: scientific article; zbMATH DE number 536869