A necessary and sufficient condition for \(M\)-matrices and its relation to block \(LU\) factorization

DOI10.1016/0024-3795(94)00164-2zbMath0855.65015OpenAlexW2021833898MaRDI QIDQ1911936

E. L. Yip

Publication date: 16 February 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00164-2

zbMATH Keywords

\(M\)-matricesdiagonal dominanceblock \(LU\)-factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

On the preconditioned GAOR method for a linear complementarity problem with an \(M\)-matrix ⋮ A preconditioned multisplitting and Schwarz method for linear complementarity problem

Cites Work

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• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• Unsymmetric positive definite linear systems
• On a class of matrices which arise in the numerical solution of Euler equations
• Incomplete blockwise factorizations of (block) H-matrices
• Gerschgorin theorems for partitioned matrices
• Minimal G-functions
• Minimal G-functions. II
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
• Block M-Matrices and Computation of Invariant Tori

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