A new upper bound on the infinity norm of the inverse of Nekrasov matrices

DOI10.1155/2014/708128zbMath1442.15030OpenAlexW2011212954WikidataQ59051945 ScholiaQ59051945MaRDI QIDQ2336656

Lei Gao, Chaoqian Li, Yao-Tang Li

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/708128

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (5)

An improvement of the error bounds for linear complementarity problems of Nekrasov matrices ⋮ The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications ⋮ The Schur complement of \(\gamma\)-dominant matrices ⋮ The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method ⋮ 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
• Some remarks on a theorem of Gudkov
• Infinity norm bounds for the inverse of Nekrasov matrices
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs

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