The linear complementarity problem and a subclass of fully semimonotone matrices

DOI10.1016/0024-3795(87)90170-4zbMath0611.90093OpenAlexW2016242712MaRDI QIDQ1087473

Wallace C. Pye, Melvyn W. Jeter

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90170-4

zbMATH Keywords

linear complementarityfully semimonotone matricescomplementary cones

Mathematics Subject Classification ID

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

Related Items (5)

Structure properties of W matrices ⋮ ON FULLY SEMIMONOTONE MATRICES ⋮ A field guide to the matrix classes found in the literature of the linear complementarity problem ⋮ New characterizations of the matrix classes \(\mathbf{P}\), \(\mathbf{W}\) and \(\mathbf{R}_0\) ⋮ Total dual integrality and integral solutions of the linear complementarity problem

Cites Work

• Complementary pivot theory of mathematical programming
• The Jacobian matrix and global univalence of mappings
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• On the uniqueness of solutions to linear complementarity problems
• Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems
• Bimatrix Equilibrium Points and Mathematical Programming
• The Linear Complementarity Problem
• The complementarity problem
• A Partition Theorem for Euclidean n-Space
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