Properties of some matrix classes based on principal pivot transform

DOI10.1007/s10479-014-1622-6zbMath1348.90582OpenAlexW2074543608MaRDI QIDQ338938

Mohammad Hasan, M. Dambrine

Publication date: 7 November 2016

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-014-1622-6

zbMATH Keywords

\(Q_{0}\)-matrixalmost copositive matrixalmost fully copositive matrixalmost strictly semimonotone matrixexact order 2 fully copositive matrixprincipal pivot transformssemimonotone matrix

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

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• The principal pivoting method revisited
• Criteria for copositive matrices
• Almost copositive matrices
• Sufficient matrices and the linear complementarity problem
• Two characterizations of sufficient matrices
• Principal pivot transforms of some classes of matrices
• Almost \(P_ 0\)-matrices and the class \(Q\)
• Principal pivot transforms: Properties and applications
• Almost N-matrices and linear complementarity
• A contribution to von Neumann's theory of games
• OnQ-matrices
• On the uniqueness of solutions to linear complementarity problems
• The Linear Complementarity Problem with Exact Order Matrices
• On almost type classes of matrices withQ-property
• On the classes of fully copositive and fully semimonotone matrices