A note on diagonally dominant matrices
type: Item
instance of: scholarly article
title: A note on diagonally dominant matrices
zbMATH Open document ID: 0970.15017
DOI: 10.1016/S0024-3795(00)00178-6
author: Geir Dahl
published in: Linear Algebra and its Applications
publication date: 2001-04-19T00:00:00Z
review text: The set \(\mathcal D_n\) of diagonally dominant symmetric real matrices of order \(n\) with nonnegative diagonal elements is a polyhedral convex cone. Based on its extreme rays, the author derives a description of the kernel of matrices in \(\mathcal D_n\) in terms of support graph. Moreover, the relevant doubly stochastic matrices in \(\mathcal D_n\) are studied.
reviewed by: Huang Wenxue
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15B51
zbMATH DE Number: 1538554
zbMATH Keywords: polyhedral convex cone
zbMATH Keywords: diagonally dominant matrix
zbMATH Keywords: doubly-stochastic matrix
zbMATH Keywords: extreme ray
zbMATH Keywords: generators
zbMATH Keywords: loop
zbMATH Keywords: matrix kernel
zbMATH Keywords: polytope
zbMATH Keywords: support graph
zbMATH Keywords: symmetric matrix
zbMATH Keywords: vertex
MaRDI profile type: Publication
cites work: Cones of diagonally dominant matrices
cites work: Combinatorial matrix theory
cites work: Q4371290
cites work: A note on symmetric doubly-stochastic matrices
cites work: Q4040931
cites work: On the extreme points of a certain convex polytope
cites work: On nonnegative factorization of matrices
cites work: Inequalities: theory of majorization and its applications
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description: scientific article; zbMATH DE number 1538554