Linear complementarity problems with an invariant number of solutions

DOI10.1007/BF01582231zbMath0605.90122MaRDI QIDQ3743139

Richard E. Stone

Publication date: 1986

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

linear complementaritycomplementary conesinvariant number of solutions

Mathematics Subject Classification ID

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

Related Items (4)

On Lipschitzian \(Q_ 0\) and INS matrices ⋮ T. Parthasarathy's contributions to complementarity problems: a survey ⋮ Class of global minimum bounds of polynomial functions ⋮ Degeneracy in linear complementarity problems: A survey

Cites Work

• Q-matrices and spherical geometry
• On spherically convex sets and \(Q\)-matrices
• Manifestations of the Schur complement
• Complementary pivot theory of mathematical programming
• 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
• On the uniqueness of solutions to linear complementarity problems
• A Partial Characterization of a Class of Matrices Defined by Solutions to the Linear Complementarity Problem
• Proper, reflecting and absorbing facts of complementary cones
• Bimatrix Equilibrium Points and Mathematical Programming
• A Probelm in Linear Inequalities
• A Characterization of the Constant Parity Property of the Number of Solutions to the Linear Complementarity Problem
• The Linear Complementarity Problem
• On the Alass of Complementary Cones and Lemke’s Algorithm
• A Partition Theorem for Euclidean n-Space
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