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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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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
Johannes M. Schumacher +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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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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Linear complementarity problems solvable as linear programs [PDF]
Journal of Numerical Analysis and Approximation Theory, 2018 In this paper, we present a theoretical and numerical study of linear complementary problems solvable as linear programs. We give several examples of linear complementarity problems which can be solved as linear programs using linear programming ...
Zakia Kebbiche
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Reformulations of mathematical programming problems as linear complementarity problems [PDF]
, 1982 A family of complementarity problems are defined as extensions of the well known Linear Complementarity Problem (LCP). These are (i.) Second Linear Complementarity Problem (SLCP) which is an LCP extended by introducing further equality restrictions and ...
Mitra, G, Judice, JJ
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Linear complementarity systems [PDF]
, 1997 We 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
Heemels, W.P.M.H. +2 more
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