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The extended linear complementarity problem [PDF]
Mathematical Programming, 1995 Summary: We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity of the bilinear objective function under a monotonicity ...
Bart De Schutter +2 more
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On the preconditioned GAOR method for a linear complementarity problem with an M-matrix [PDF]
Journal of Inequalities and Applications, 2018 Recently, based on the Hadjidimos preconditioner, a preconditioned GAOR method was proposed for solving the linear complementarity problem (Liu and Li in East Asian J. Appl. Math. 2:94–107, 2012).
Shu-Xin Miao, Dan Zhang
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The Linear Dynamic Complementarity Problem is a special case of the Extended Linear Complementarity Problem [PDF]
Systems and Control Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bart De Schutter
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Polyhedral complementarity problem with quasimonotone decreasing mappings [PDF]
Yugoslav Journal of Operations Research, 2023 The fixed point problem of piecewise constant mappings in Rn is investigated. This is a polyhedral complementarity problem, which is a generalization of the linear complementarity problem.
Shmyrev Vadim I.
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On linear problems with complementarity constraints [PDF]
Optimization Letters, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Letizia Pellegrini +2 more
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Scarf’s generalization of linear complementarity problem revisited [PDF]
Yugoslav Journal of Operations Research, 2013 In this paper, we revisit Scarf’s generalization of the linear complementarity problem, formulate this as a vertical linear complementarity problem and obtain some new results on this generalization.
Neogy S.K., Sinha S., Das A.K., Gupta A.
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Multiparametric Linear Complementarity Problems [PDF]
Proceedings of the 45th IEEE Conference on Decision and Control, 2006 The linear complementarity problem (LCP) is a general problem that unifies linear and quadratic programs and bimatrix games. In this paper, we present an efficient algorithm for the solution to multiparametric linear complementarity problems (pLCPs) that are defined by positive semi-definite matrices. This class of problems includes the multiparametric
Colin N. Jones, Manfred Morari
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Novel Global Harmony Search Algorithm for General Linear Complementarity Problem
Axioms, 2022 Linear complementarity problem (LCP) is studied. After reforming general LCP as the system of nonlinear equations by NCP-function, LCP is equivalent to solving an unconstrained optimization model, which can be solved by a recently proposed algorithm ...
Longquan Yong
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On independent cliques and linear complementarity problems [PDF]
Indian Journal of Pure and Applied Mathematics, 2022 Submitted to the SIAM Journal on Discrete ...
Karan N. Chadha, Ankur A. Kulkarni
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SN Applied Sciences, 2021 This study proposes a method to analyse the motion of a multibody system with components subjected to large plastic deformations by contact and collision.
Shun Yamaguchi +2 more
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