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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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Ohana: detecting selection in multiple populations by modelling ancestral admixture components

TL;DR: A new maximum likelihood method based on a Gaussian approximation to allele frequency changes and it incorporates admixture between populations is presented, which can analyze multiple populations simultaneously and retains power to detect selection signatures specific to ancestry components that are not representative of any extant populations.
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A randomized scheme for speeding up algorithms for linear and convex programming problems with high constraints-to-variables ratio

TL;DR: A randomized algorithm for solving convex quadratic and linear programs, which uses that scheme together with a variant of Karmarkar's interior point method to speed up existing algorithms on problems which have many more constraints than variables.

The Idea of Complementarity in Multibody Dynamics

TL;DR: In this article, the theoretical and practical background of complementarity is discussed, and the complementarity problem is considered in the context of multibody systems with many multiple unilateral contacts.
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Efficient simplex-like methods for equilibria of nonsymmetric analog networks

TL;DR: It is shown that if the amplifiers are piecewise-linear, then such networks are instances of a game-theoretic model known as polymatrix games, and equilibria for poly matrix games may be computed by vertex pivoting algorithms similar to the simplex method for linear programming.
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