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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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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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Error bounds for linear complementarity problems of weakly chained diagonally dominant B-matrices [PDF]
Journal of Inequalities and Applications, 2017 In this paper, new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B-matrix. The proposed error bounds are better than some existing results.
Feng Wang
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On the equivalence of linear complementarity problems [PDF]
Operations Research Letters, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alberto Bemporad, 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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The Extended Linear Complementarity Problem [PDF]
SIAM Journal on Matrix Analysis and Applications, 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 ...
O. L. Mangasarian, Jong-Shi Pang
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Extensions of P-property, R0-property and semidefinite linear complementarity problems [PDF]
Yugoslav Journal of Operations Research, 2017 In this manuscript, we present some new results for the semidefinite linear complementarity problem, in the context of three notions for linear transformations, viz., pseudo w-P property, pseudo Jordan w-P property and pseudo SSM property ...
Jeyaraman I. +2 more
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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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