Singular irreducible \(M\)-matrices revisited

DOI10.1016/j.laa.2018.11.030zbMath1410.15059OpenAlexW2905029144WikidataQ128761573 ScholiaQ128761573MaRDI QIDQ1736204

K. C. Sivakumar, S. Lavanya, Anke Kalauch

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.11.030

zbMATH Keywords

\(M\)-matrices with ``property \(c\)nonnegative \(\{1\}\)-inversesingular irreducible \(M\)-matrices

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

Comparison theorems for splittings of M-matrices in (block) Hessenberg form ⋮ Matrices whose group inverses are \(M\)-matrices ⋮ Singular irreducible \(M\)-operators on ordered Banach spaces

Cites Work

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• Complementarity properties of singular \(M\)-matrices
• Eight types of matrix monotonicity
• M-matrices leading to semiconvergent splittings
• Generalized inverses. Theory and applications.
• The group inverse of a triangular matrix
• Some inequalities for matricesAsuch thatA-Iis positive definite or anM-Matrix^∗
• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• Characterizations of singular irreducible M-matrices

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