Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem
type: Item
instance of: scholarly article
title: Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem
zbMATH Open document ID: 0827.15005
DOI: 10.1016/0024-3795(93)00225-O
author: Luoluo Li
published in: Linear Algebra and its Applications
publication date: 1995-12-13T00:00:00Z
review text: Some sufficient conditions are derived for the existence of real numbers \(c_1, \ldots, c_n\) such that \(A + \sum^n_{t = 1} c_t A_t\) has a prescribed set of eigenvalues, where \(A\), \(A_1, \ldots, A_n\) are given \(n \times n\) Hermitian matrices. Examples are given which satisfy these conditions but which do not satisfy some previously known sufficient conditions for the existence of solutions.
reviewed by: Alan L. Andrew
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 769054
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: prescribed set of eigenvalues
zbMATH Keywords: Hermitian matrices
MaRDI profile type: Publication
cites work: Q4724773
cites work: On the unsolvability of inverse eigenvalues problems almost everywhere
cites work: Q3726271
cites work: Q3781225
cites work: The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
cites work: Matrix Analysis
cites work: Q4040931
cites work: Some sufficient conditions for the solvability of inverse eigenvalue problems
description: scientific article; zbMATH DE number 769054