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The Perturbation Bound of the Extended Vertical Linear Complementarity Problem

Journal of the Operations Research Society of China, 2022
In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row $${\mathcal {W}}$$ W -property, we derive several absolute and relative perturbation bounds of EVLCP ...
Shiliang Wu, Wen Li, Hehui Wang
semanticscholar   +1 more source

Linear complementarity problems and bi-linear games

Applications of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sengodan, Gokulraj   +1 more
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A preconditioned two-step modulus-based matrix splitting iteration method for linear complementarity problem

Applied Mathematics and Computation, 2019
In this paper, a preconditioned two-step modulus-based matrix splitting iteration method for linear complementarity problems associated with an M-matrix is proposed. The convergence analysis of the presented method is given.
Pingfan Dai   +3 more
semanticscholar   +1 more source

Comparison of three classes of algorithms for the solution of the linear complementarity problem with an H+-matrix

Journal of Computational and Applied Mathematics, 2018
There are three main classes of iterative methods for the solution of the linear complementarity problem (LCP). In order of appearance these classes are: the “projected iterative methods”, the “(block) modulus algorithms” and the “modulus-based matrix ...
A. Hadjidimos, Li-Li Zhang
semanticscholar   +1 more source

The weighted horizontal linear complementarity problem on a Euclidean Jordan algebra

Journal of Global Optimization, 2017
A weighted complementarity problem is to find a pair of vectors belonging to the intersection of a manifold and a cone such that the product of the vectors in a certain algebra equals a given weight vector.
Xiaoni Chi, M. Gowda, J. Tao
semanticscholar   +1 more source

The relaxation convergence of multisplitting AOR method for linear complementarity problem

Linear and multilinear algebra, 2018
In this paper, based on the previous work by Bai [On the convergence of the multisplitting methods for the linear complementarity problem. SIAM J Matrix Anal Appl. 1999;21:67–78] and by Zhang et al.
Lu-Bin Cui, Cuixia Li, Shiliang Wu
semanticscholar   +1 more source

Complementarity problems in linear complementarity systems

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998
Complementarity systems are described by differential and algebraic equations and inequalities similar to those appearing in the linear complementarity problem (LCP) of mathematical programming. Typical examples of such systems include mechanical systems subject to unilateral constraints, electrical networks with diodes, processes subject to relays and/
Heemels, W.P.M.H.   +2 more
openaire   +3 more sources

Generalized linear complementarity problems

Mathematical Programming, 1990
The generalization is twofold. First, the problem is defined for closed convex cones rather than for the non-negative orthant. Second, some, but not all, the results are stated for infinite-dimensional real Hilbert spaces. Two infinite-dimensional existence results are given.
Gowda, M. Seetharama, Seidman, Thomas I.
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Generalized Linear Complementarity Problems

Mathematics of Operations Research, 1995
We introduce the concept of the generalized (monotone) linear complementarity problem (GLCP) in order to unify LP, convex QP, monotone LCP, and mixed monotone LCP. We establish the basic properties of GLCP and develop canonical forms for its representation. We show that the GLCP reduces to a monotone LCP in the same variables.
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Linearized Methods for Tensor Complementarity Problems

Journal of Optimization Theory and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong-Bo Guan, Dong-Hui Li
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