On graph compatible splittings of M-matrices
type: Item
instance of: scholarly article
title: On graph compatible splittings of M-matrices
zbMATH Open document ID: 0621.65023
DOI: 10.1016/0024-3795(87)90069-3
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: The author supplies families of examples that answer negatively the following question posed by \textit{H. Schneider} [ibid. 58, 407-424 (1984; Zbl 0561.65020)]. Let A and M be M-matrices, \(M^{-1}\geq 0\), \(A=M-N\), \(N\geq 0\). Does the reflexive and transitive closure of the graph of A contain the graph of M ?
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 4007567
zbMATH Keywords: graph compatible splittings
zbMATH Keywords: M-matrix
author: Mou-Cheng Zhang
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90069-3
OpenAlex ID: W2038075576
cites work: Q3943082
cites work: Theorems on M-splittings of a singular M-Matrix which depend on graph structure
description: scientific article; zbMATH DE number 4007567