Some characterizations of Nekrasov and \(S\)-Nekrasov matrices

DOI10.1007/s10958-015-2399-0zbMath1332.15046OpenAlexW581354859MaRDI QIDQ906830

L. Yu. Kolotilina

Publication date: 29 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2399-0

zbMATH Keywords

inequalities involving matrices\(H\)-matricesNekrasov matricesstrictly diagonally dominant matricesscaling matrices

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Iterative numerical methods for linear systems (65F10)

Related Items (5)

New subclasses of the class of \( \mathcal H \)-matrices and related bounds for the inverses ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ Nekrasov tensors and nonsingular \({\mathcal {H}}\)-tensors ⋮ Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices ⋮ Unnamed Item

Cites Work

• Bounds for the infinity norm of the inverse for certain \(M\)- and \(H\)-matrices
• A new subclass of \(H\)-matrices
• Special \(H\)-matrices and their Schur and diagonal-Schur complements
• Criteria for generalized diagonally dominant matrices and \(M\)-matrices
• A new Geršgorin-type eigenvalue inclusion set
• Further results on \(H\)-matrices and their Schur complements
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs
• Über die Determinanten mit überwiegender Hauptdiagonale
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