An upper bound for \(\| A^{-1} \|_\infty \) of strictly diagonally dominant \(M\)-matrices
type: Item
instance of: scholarly article
title: An upper bound for \(\| A^{-1} \|_\infty \) of strictly diagonally dominant \(M\)-matrices
zbMATH Open document ID: 1169.15004
author: Ping Wang
published in: Linear Algebra and its Applications
publication date: 2009-07-02T00:00:00Z
review text: As it said in the title, an upper bound for \(\| A^{-1}\|_{\infty}\) of a strictly diagonally dominant \(M\)-matrix is given.
reviewed by: Janko Bračič
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 5574541
zbMATH Keywords: diagonal dominance
zbMATH Keywords: \(M\)-matrix
zbMATH Keywords: inverse \(M\)-matrix
zbMATH Keywords: norm bound
MaRDI profile type: Publication
full work available at URL: j.laa.2009.02.037
OpenAlex ID: W1992064986
cites work: Q4040931
cites work: A Hadamard product involving N-matrices
cites work: An inequality for the Hadamard product of an M-matrix and an inverse M- matrix
cites work: On Two-Sided Bounds Related to Weakly Diagonally Dominant M-Matrices with Application to Digital Circuit Dynamics
cites work: A Sufficient Condition for Nonvanishing of Determinants
cites work: A lower bound for the smallest singular value of a matrix
cites work: Q4326384
cites work: An upper bound for \(\| A^{-1}\|_{\infty}\) of strictly diagonally dominant \(M\)-matrices
cites work: On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\)
DOI: 10.1016/J.LAA.2009.02.037
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description: scientific article; zbMATH DE number 5574541