More on positive subdefinite matrices and the linear complementarity problem

DOI10.1016/S0024-3795(01)00393-7zbMath0993.15023WikidataQ126789356 ScholiaQ126789356MaRDI QIDQ5955663

S. K. Neogy, S. R. Mohan, A. K. Das

Publication date: 25 September 2002

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

zbMATH Keywords

linear complementarity problemssufficient matricescopositive starLemke's algorithmpositive subdefinite matricespseudomonotone

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 (7)

Characterizing \(Q\)-matrices beyond \(L\)-matrices ⋮ On semimonotone star matrices and linear complementarity problem ⋮ More on matrix splitting modulus-based iterative methods for solving linear complementarity problem ⋮ On generalizations of positive subdefinite matrices and the linear complementarity problem ⋮ Total dual integrality and integral solutions of the linear complementarity problem ⋮ On column competent matrices and linear complementarity problem ⋮ On weak generalized positive subdefinite matrices and the linear complementarity problem

Cites Work

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• Sufficient matrices and the linear complementarity problem
• Criteria for sufficient matrices
• Matrix-theoretic criteria for the quasi-convexity and pseudo-convexity of quadratic functions
• Positive Subdefinite Matrices, Generalized Monotonicity, and Linear Complementarity Problems
• Even more with the Lemke complementarity algorithm
• More with the Lemke complementarity algorithm
• Some Properties of Fully Semimonotone, $Q_0 $-Matrices
• Subdefinite Matrices and Quadratic Forms
• Affine Pseudomonotone Mappings and the Linear Complementarity Problem

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