Improvements on the infinity norm bound for the inverse of Nekrasov matrices

DOI10.1007/s11075-015-0012-8zbMath1353.15021arXiv1408.5180OpenAlexW1494229254MaRDI QIDQ261864

Hui Pei, Aning Gao, Chaoqian Li, Yao-Tang Li

Publication date: 24 March 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5180

zbMATH Keywords

numerical examples\(H\)-matricesinfinity normNekrasov matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (7)

An efficient extrapolation full multigrid method for elliptic problems in two and three dimensions ⋮ New upper bounds for the infinity norm of Nekrasov matrices ⋮ An infinity norm bound for the inverse of Dashnic-Zusmanovich type matrices with applications ⋮ The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices ⋮ Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices

Cites Work

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• Max-norm bounds for the inverse of \(S\)-Nekrasov matrices
• \(H\)-matrix theory vs. eigenvalue localization
• A lower bound for the smallest singular value of a matrix
• On Nekrasov matrices
• Infinity norm bounds for the inverse of Nekrasov matrices
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs

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