A new iterative criterion for \(H\)-matrices: The reducible case

DOI10.1016/j.laa.2007.12.020zbMath1153.65031OpenAlexW2012948971WikidataQ112882155 ScholiaQ112882155MaRDI QIDQ924352

Maria Alanelli, Apostolos Hadjidimos

Publication date: 15 May 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.12.020

zbMATH Keywords

(generalized) strictly diagonally dominant matrices\(M\)- and \(H\)-matricescriteria for \(H\)-matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (8)

Self-corrective iterations (SCI) for generalized diagonally dominant matrices ⋮ Is \(A\in\mathbb C^{n,n}\) a general \(H\)-matrix? ⋮ Diagonal dominance, Schur complements and some classes of \(H\)-matrices and \(P\)-matrices ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ Two-step modulus-based matrix splitting iteration method for linear complementarity problems ⋮ On general principles of eigenvalue localizations via diagonal dominance ⋮ Nonstationary extrapolated modulus algorithms for the solution of the linear complementarity problem ⋮ A linearly convergent iterative method for identifying H-matrices

Uses Software

• ITPACK

Cites Work

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• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
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• A new criterion for the H-matrix property
• An extended compact profile iterative method criterion for sparse \(H\)-matrices
• An iterative test for \(H\)-matrix
• An extension of the criteria for generalized diagonally dominant matrices
• Matrix Analysis
• Nonnegative jordan bases
• Algorithm 586: ITPACK 2C: A FORTRAN Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods
• On the Iterative Criterion for Generalized Diagonally Dominant Matrices
• A New Iterative Criterion for H‐Matrices

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