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Linear complementarity, linear and nonlinear programming

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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.

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On the complexity of approximating a KKT point of quadratic programming

TL;DR: This work presents a potential reduction algorithm to approximate a Karush—Kuhn—Tucker (KKT) point of general quadratic programming (QP) and shows that the algorithm is a fully polynomial-time approximation scheme, and its running-time dependency on accuracy is reduced.
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A Convex Complementarity Approach for Simulating Large Granular Flows

TL;DR: A numerical method based on successive convex complementarity problems for the simulation of dense granular flows and an application to the analysis of the refueling flow in pebble-bed nuclear reactors is presented.
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The cost-minimizing inverse classification problem: a genetic algorithm approach

TL;DR: This work develops several genetic algorithms and develops a real genetic algorithm with feasibility control, a traditional binary genetic algorithm, and a steepest ascent hill climbing algorithm to investigate the inverse problem in classification systems.
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Oblique Frictional Impact of a Bar: Analysis and Comparison of Different Impact Laws

TL;DR: In this article, a non-smooth approach is applied to analyze a bar striking an inelastic half-space, where Coulomb contact is assumed and modeled by using set-valued Newtonian impact laws in normal as well as in tangential direction.
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The generalized Leontief input-output model and its application to the choice of new technology

TL;DR: The Leontief input-output model is generalized and formulated as a generalized linear complementarity problem and an application of the model to choosing new technologies is suggested.
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