Sign patterns that allow diagonalizability
type: Item
instance of: scholarly article
title: Sign patterns that allow diagonalizability
zbMATH Open document ID: 1025.15026
DOI: 10.1016/S0024-3795(02)00433-0
author: Yanling Shao
author: Yubin Gao
published in: Linear Algebra and its Applications
publication date: 2003-03-23T00:00:00Z
review text: The question of characterizing sign patterns that allow diagonalizability is still open. In this paper sufficient conditions (five) are found for sign patterns \(A\) allowing diagonalizability. The necessary conditions for allowing diagonalizability found by \textit{C. A. Eschenbach} and \textit{C. R. Johnson} [Linear Algebra Appl. 190, 169-179 (1993; Zbl 0795.15008)] (a conjecture) are discussed. Two counterexamples are presented.
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1886831
zbMATH Keywords: sign pattern
zbMATH Keywords: cycle
zbMATH Keywords: eigenvalue
zbMATH Keywords: diagonalizability
MaRDI profile type: Publication
cites work: Q4858123
cites work: Sign patterns that require repeated eigenvalues
cites work: Combinatorial matrix theory
cites work: Q4323739
cites work: Sign patterns that require real, nonreal or pure imaginary eigenvalues
cites work: Matrix Analysis
full work available at URL: s0024-3795(02)00433-0
OpenAlex ID: W2098300566
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description: scientific article; zbMATH DE number 1886831