On characterizing \(N\)-matrices using linear complementarity

DOI10.1016/0024-3795(92)90449-KzbMath0746.15012MaRDI QIDQ1183141

S. Singh

Publication date: 28 June 1992

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

zbMATH Keywords

linear complementarity problemsprincipal minorssign pattern\(N\)-matrixcomplementary conecomplementary matrixsign nonreversal property

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (16)

Almost N-matrices and linear complementarity ⋮ Karamardian Matrices: A Generalization of $Q$-Matrices ⋮ Superfluous matrices in linear complementarity ⋮ Interval hulls of \(N\)-matrices and almost \(P\)-matrices ⋮ T. Parthasarathy's contributions to complementarity problems: a survey ⋮ Algorithmic detection and construction of N-matrices ⋮ On singular \(N_{0}\)-matrices and the class \(Q\) ⋮ Some more subclasses of \(Q\)-matrix ⋮ \(N\)-matrix completion problem. ⋮ The \(N\)-matrix completion problem under digraphs assumptions. ⋮ On the matrix class \(Q_0\) and inverse monotonicity properties of bordered matrices ⋮ The almost semimonotone matrices ⋮ The generalized linear complementarity problem revisited ⋮ \(N_0\) completions on partial matrices ⋮ The symmetric \(N\)-matrix completion problem ⋮ Ky Fan's \(N\)-matrices and linear complementarity problems

Cites Work

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• On strongly degenerate complementary cones and solution rays
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• On the number of solutions to a class of linear complementarity problems
• Some Aspects of the Theory of $PN$-Matrices
• The Production Coefficient Matrix and the Stolper-Samuelson Condition
• On the Alass of Complementary Cones and Lemke’s Algorithm
• A Partition Theorem for Euclidean n-Space
• N-matrices

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