Complementarity properties of singular \(M\)-matrices

DOI10.1016/j.laa.2016.08.003zbMath1352.15004OpenAlexW2494350248MaRDI QIDQ501218

I. Jeyaraman, K. C. Sivakumar

Publication date: 29 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.003

zbMATH Keywords

linear complementarity problemgroup inverse\(M\)-matrix with property c\(P_{\operatorname{\#}}\)-matrixrange column sufficiencyrange monotonicitystrictly range semimonotonicity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (5)

Q_#-matrices and Q_†-matrices: two extensions of the Q-matrix concept ⋮ Karamardian Matrices: A Generalization of $Q$-Matrices ⋮ Singular irreducible \(M\)-matrices revisited ⋮ Solution structures of tensor complementarity problem ⋮ Extensions of P-property, R0-property and semidefinite linear complementarity problems

Cites Work

• More results on column sufficiency property in Euclidean Jordan algebras
• Strict semimonotonicity property of linear transformations on Euclidean Jordan algebras
• Sufficient matrices and the linear complementarity problem
• A characterization of weak-monotone matrices
• M-matrices leading to semiconvergent splittings
• Generalized inverses. Theory and applications.
• Matrix Analysis
• P_†-matrices: a generalization ofP-matrices
• Cross-Positive Matrices
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