Model Predictive Control for Linear Complementarity and Extended Linear Complementarity Systems [PDF]
ITB Journal of Engineering Science, 2005 In this paper, we propose model predictive control method for linear complementarity and extended linear complementarity systems by formulating optimization along prediction horizon as mixed integer quadratic program.
Bambang Riyanto, Ibrahim Hakim
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New global error bound for extended linear complementarity problems [PDF]
Journal of Inequalities and Applications, 2018 For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions.
Hongchun Sun, Min Sun, Yiju Wang
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An alternative error bound for linear complementarity problems involving BS $B^{S}$-matrices [PDF]
Journal of Inequalities and Applications, 2018 An alternative error bound for linear complementarity problems for BS $B^{S}$-matrices is presented. It is shown by numerical examples that the new bound is better than that provided by García-Esnaola and Peña (Appl. Math. Lett.
Lei Gao
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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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An improved error bound for linear complementarity problems for B-matrices [PDF]
Journal of Inequalities and Applications, 2017 A new error bound for the linear complementarity problem when the matrix involved is a B-matrix is presented, which improves the corresponding result in (Li et al. in Electron. J. Linear Algebra 31(1):476-484, 2016).
Lei Gao, Chaoqian Li
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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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The strict complementarity in linear fractional optimization [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 As an important duality result in linear optimization, the Goldman–Tucker theorem establishes strict complementarity between a pair of primal and dual linear programs.
M. Mehdiloo, K. Tone, M.B. Ahmadi
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A new search direction of IPM for horizontal linear complementarity problems
Frontiers in Energy Research, 2023 This study presents a new search direction for the horizontal linear complementarity problem. A vector-valued function is applied to the system of xy=μe, which defines the central path.
Xiaoyu Gong +4 more
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Linear Complementarity Systems [PDF]
SIAM Journal on Applied Mathematics, 2000 Summary: The authors introduce a new class of dynamical systems called ``linear complementarity systems''. The time evolution of these systems consists of a series of continuous phases separated by ``events'' which cause a change in dynamics and possibly a jump in the state vector. The occurrence of events is governed by certain inequalities similar to
Heemels, W.P.M.H. +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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