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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 Morrari
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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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A smoothing Levenberg-Marquardt algorithm for linear weighted complementarity problem
AIMS Mathematics, 2023 In this paper, we consider the solution of linear weighted complementarity problem (denoted by LWCP). Firstly, we introduce a new class of weighted complementary functions and show that its continuously differentiable.
Panjie Tian, Zhensheng Yu , Yue Yuan
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Precision Studies of the Higgs Boson Profile at the e+e- Linear Collider [PDF]
, 2001 This paper reviews the potential of a high luminosity e+e- linear collider (LC) in the precision study of the Higgs boson profile. The complementarity of the linear collider data with that from the LHC is also discussed together with a comparison with a ...
Battaglia, Marco, Desch, Klaus
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General fixed-point method for solving the linear complementarity problem
AIMS Mathematics, 2021 In this paper, we consider numerical methods for the linear complementarity problem (LCP). By introducing a positive diagonal parameter matrix, the LCP is transformed into an equivalent fixed-point equation and the equivalence is proved.
Xi-Ming Fang
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Switched networks and complementarity [PDF]
, 2003 A modeling framework is proposed for circuits that are subject both to externally induced switches (time events) and to state events. The framework applies to switched networks with linear and piecewise-linear elements, including diodes. We show that the
Camlıbel, M.K. +3 more
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OPTIMIZATION WITH LINEAR COMPLEMENTARITY CONSTRAINTS [PDF]
Pesquisa Operacional, 2014 A Mathematical Program with Linear Complementarity Constraints (MPLCC) is an optimization problem where a continuously differentiable function is minimized on a set defined by linear constraints and complementarity conditions on pairs of complementary variables. This problem finds many applications in several areas of science, engineering and economics
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Affinely Adjustable Robust Linear Complementarity Problems [PDF]
SIAM Journal on Optimization, 2022 Linear complementarity problems are a powerful tool for modeling many practically relevant situations such as market equilibria. They also connect many sub-areas of mathematics like game theory, optimization, and matrix theory. Despite their close relation to optimization, the protection of LCPs against uncertainties -- especially in the sense of ...
Christian Biefel +3 more
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Generalized AOR Algorithms for Linear Complementarity Problem
Journal of Algorithms & Computational Technology, 2007 In this paper, we propose a class of generalized accelerated overrelaxation (GAOR) methods, in which one special case reduces to the generalized successive overrelaxation(GSOR) methods, for solving a linear complementarity problem LCP ( M, q ...
Dongjin Yuan, Hui Zhang
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Semicopositive linear complementarity systems [PDF]
International Journal of Robust and Nonlinear Control, 2007 AbstractInspired by the dynamic complementarity problem introduced by Mandelbaum, we define several matrix classes in terms of some integral conditions and discuss their connection with the existing class of strictly semicopositive matrices in linear complementarity theory.
Shen, Jinglai, Pang, Jong-Shi
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