Tridiagonal doubly stochastic matrices
type: Item
instance of: scholarly article
title: Tridiagonal doubly stochastic matrices
zbMATH Open document ID: 1060.15022
author: Geir Dahl
published in: Linear Algebra and its Applications
publication date: 2004-11-18T00:00:00Z
review text: The author studies the facial structure of the tridiagonal Birkhoff polytope \(\Omega^t_n\subset \mathbb R^{n\times n}\) consisting of the tridiagonal doubly stochastic matrices of order \(n\) and its connection with majorization. Some subclasses of \(\Omega^t_n\) are discussed with focus on spectral properties and rank formulae.
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 2116533
zbMATH Keywords: doubly stochastic matrix
zbMATH Keywords: eigenvalue
zbMATH Keywords: Fibonacci numbers
zbMATH Keywords: majorization
zbMATH Keywords: permutation matrices
zbMATH Keywords: symmetric random walk
zbMATH Keywords: tridiagonal Birkhoff polytope
zbMATH Keywords: rank
reviewed by: Huang Wenxue
MaRDI profile type: Publication
full work available at URL: j.laa.2004.04.017
OpenAlex ID: W1966891269
cites work: Q4405832
cites work: Q4226075
cites work: Combinatorial matrix theory
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cites work: Q4076577
cites work: Eigenvalues of tridiagonal pseudo-Toeplitz matrices
cites work: Minimum Permanents of Tridiagonal Doubly Stochastic Matrices
cites work: An estimate for the nonstochastic eigenvalues of doubly stochastic matrices
cites work: Inequalities: theory of majorization and its applications
cites work: Q4485695
DOI: 10.1016/J.LAA.2004.04.017
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description: scientific article; zbMATH DE number 2116533