On the inverse eigenvalue problem for irreducible doubly stochastic matrices of small orders
type: Item
instance of: scholarly article
title: On the inverse eigenvalue problem for irreducible doubly stochastic matrices of small orders
zbMATH Open document ID: 1474.15087
DOI: 10.1155/2014/902383
author: Quanbing Zhang
author: Changqing Xu
author: Shangjun Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The inverse eigenvalue problem is a classical and difficult problem in matrix theory. In the case of real spectrum, we first present some sufficient conditions of a real \(r\)-tuple (for \(r = 2\); 3; 4; 5) to be realized by a symmetric stochastic matrix. Part of these conditions is also extended to the complex case in the case of complex spectrum where the realization matrix may not necessarily be symmetry. The main approach throughout the paper in our discussion is the specific construction of realization matrices and the recursion when the targeted \(r\)-tuple is updated to a \((r + 1)\)-tuple.
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A29
zbMATH DE Number: 7023278
Wikidata QID: Q59042733
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/902383
OpenAlex ID: W2012806692
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description: scientific article; zbMATH DE number 7023278