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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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Journal ArticleDOI

Parameterized error bounds for linear complementarity problems of $$B_\pi ^{R}$$ B π R -matrices and their optimal values

TL;DR: It is shown that the optimal error bounds are sharper than that provided by Garcia-Esnaola and Pena (Calcolo 54(3):813–822, 2017) under certain assumptions.
Journal ArticleDOI

Modeling lateral contact constraints among CANDU fuel rods

TL;DR: In this article, an effective procedure based on the linear complementary problem (LCP) formulation is presented to deal with lateral contact constraints among a system of closely packed and parallel fuel rods at a cross section where spacer pads and bearing pads are introduced.
Journal ArticleDOI

State observers for the time discretization of a class of impulsive mechanical systems

TL;DR: This work proposes to attack the observer problem by transforming and approximating the original continuous‐time system by a discrete linear complementarity system (LCS) through the use of the Schatzman–Paoli scheme, and derives a deadbeat observer in the form of a linear complementity problem.
Book ChapterDOI

P 0 -matrix products of matrices

TL;DR: The question of when the product of two matrices lies in the closure of the P -matrices is discussed and sufficient and necessary conditions for this to occur are derived.
Journal ArticleDOI

Completely Mixed Strategies for Generalized Bimatrix and Switching Controller Stochastic Game

TL;DR: This paper revisits a result by Jurg et al. (Linear Algebra Appl 141:61–74, 1990) where the necessary and sufficient condition for a bimatrix game to be weakly completely mixed and presents an alternate proof of this result using linear complementarity approach.
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