The generalized linear complementarity problem revisited

DOI10.1007/BF02592211zbMath0855.90127OpenAlexW2052366866MaRDI QIDQ1814790

Yanyan Li

Publication date: 3 February 1997

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02592211

zbMATH Keywords

generalized linear complementarity problemdegree-theoretic resultsvertical block matrix

Mathematics Subject Classification ID

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

Related Items (16)

On Lemke processibility of LCP formulations for solving discounted switching control stochastic games ⋮ Projected splitting methods for vertical linear complementarity problems ⋮ On discounted AR-AT semi-Markov games and its complementarity formulations ⋮ Discounted Semi-Markov Games and Algorithms for Solving Two Structured Classes ⋮ A modulus-based formulation for the vertical linear complementarity problem ⋮ Solving subclasses of multi-player stochastic games via linear complementarity problem formulations -- a survey and some new results ⋮ Relaxation modulus-based matrix splitting iteration method for vertical linear complementarity problem ⋮ Convergence analysis of projected SOR iteration method for a class of vertical linear complementarity problems ⋮ Completely mixed strategies for generalized bimatrix and switching controller stochastic game ⋮ On the ERM formulation and a stochastic approximation algorithm of the stochastic-\(R_0\) EVLCP ⋮ Completely mixed strategies for two structured classes of semi-Markov games, principal pivot transform and its generalizations ⋮ Generalized principal pivot transforms, complementarity theory and their applications in stochastic games ⋮ On Solving Mean Payoff Games Using Pivoting Algorithms ⋮ Iterative descent method for generalized Leontief model ⋮ A block principal pivoting algorithm for vertical generalized LCP with a vertical block P-matrix ⋮ On the equivalence of linear complementarity problems

Cites Work

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• Monotonicity of Mangasarian's iterative algorithm for generalized linear complementarity problems
• On characterizing \(N\)-matrices using linear complementarity
• The generalized Leontief input-output model and its application to the choice of new technology
• Generalized \(P_ 0\)- and \(Z\)-matrices
• A generalization of the Nash equilibrium theorem on bimatrix games
• On the number of solutions to the complementarity problem and spanning properties of complementary cones
• Singular control problems in bounded intervals
• A parametric linear complementarity technique for the computation of equilibrium prices in a single commodity spatial model
• Orientation in Complementary Pivot Algorithms
• An Application of Z-Matrices to a Class of Resource Allocation Problems
• A quadratic network optimization model for equilibrium single commodity trade flows
• On the solution of some (parametric) linear complementarity problems with applications to portfolio selection, structural engineering and actuarial graduation
• Applications of Degree Theory to Linear Complementarity Problems
• The Generalized Order Linear Complementarity Problem
• Some classes of matrices in linear complementarity theory
• Some Properties of Fully Semimonotone, $Q_0 $-Matrices
• Equilibrium Points of Bimatrix Games
• Bimatrix Equilibrium Points and Mathematical Programming
• A generalization of the linear complementarity problem
• The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences
• The Linear Complementarity Problem
• On the Alass of Complementary Cones and Lemke’s Algorithm
• Piecewise-Linear Theory of Nonlinear Networks

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