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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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Some Properties of Generalized Positive Subdefinite Matrices

TL;DR: It is shown that for a subclass of GPSBD matrices, the solution set of a linear complementarity problem is same as the set of Karush--Kuhn--Tucker-stationary points of the corresponding quadratic programming problem.
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On the equivalence of linear complementarity problems

TL;DR: It is shown that the Extended Linear Complementarity Problem (ELCP) can be recast as a standard Linear Complementation Problem (LCP) provided that the surplus variables or the feasible set of the ELCP are bounded.
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A New Hybrid Generalized Proximal Point Algorithm for Variational Inequality Problems

TL;DR: A modified Bregman-function-based proximal point algorithm for solving variational inequality problems and obtains the Fejér monotonicity to solutions of VIP for paramonotone operators.
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Cyclic games and linear programming

TL;DR: New efficient algorithms for solving infinite-duration two- person adversary games with the decision problem inNP@?coNP, based on linear programming (LP), LP-representations, combinatorial LP, linear complementarity problem (LCP), controlled LP are surveyed.
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Models of non-smooth switches in electrical systems

TL;DR: In this article, the authors extended the classical electromechanical analogy to passively and actively switching components in electrical circuits, and formulated the circuit's dynamic behaviour as a dierential inclusion.
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