Backward errors of the linear complementarity problem
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DOI: 10.1007/s11075-019-00723-9
Abstract: In this paper, we define a backward error for the linear complementarity problem (LCP), and then present an expression of it which can be employed to examine the stability of algorithms solving the LCP. Some… read more here.
Keywords: linear complementarity; errors linear; complementarity problem; backward errors ... See more keywords
A class of new modulus-based matrix splitting methods for linear complementarity problem
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DOI: 10.1007/s11590-021-01781-6
Abstract: In this paper, to economically and fast solve the linear complementarity problem, based on a new equivalent fixed-point form of the linear complementarity problem, we establish a class of new modulus-based matrix splitting methods, which… read more here.
Keywords: complementarity problem; linear complementarity; method; modulus based ... See more keywords
Solvability of a pseudodifferential linear complementarity problem related to a viscoelastodynamic contact model
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DOI: 10.1080/00036811.2017.1376250
Abstract: Abstract This paper focus on a simplified viscoelastic problem subjected to unilateral boundary conditions. The problem is reduced to a pseudodifferential linear complementarity problem using Fourier techniques. Under appropriate regularity assumptions on the data, the… read more here.
Keywords: linear complementarity; solvability pseudodifferential; complementarity problem; pseudodifferential linear ... See more keywords
A smooth Newton method with 3-1 piecewise NCP function for generalized nonlinear complementarity problem
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DOI: 10.1080/00207160.2017.1329531
Abstract: ABSTRACT In this paper, based on the 3-1 piecewise nonlinear complementarity problem (NCP) function, we proposed a smoothing Newton-type method for the generalized nonlinear complementarity problem (GNCP) with a modified non-monotone line search. The algorithm… read more here.
Keywords: ncp function; nonlinear complementarity; method; complementarity problem ... See more keywords
The distributionally robust complementarity problem
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DOI: 10.1080/10556788.2016.1277997
Abstract: We investigate the linear complementarity problem with uncertain parameters (ULCP) which affect the linear mapping affinely or quadratically. Assuming that the distribution of the uncertain parameters belongs to some ambiguity set with prescribed partial information,… read more here.
Keywords: distributionally robust; complementarity problem; complementarity; robust complementarity ... See more keywords
Modified gradient dynamic approach to the tensor complementarity problem
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DOI: 10.1080/10556788.2019.1578766
Abstract: ABSTRACT Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP) are presented. Theoretical analysis shows that each of the defined dynamical system models ensures the convergence. The computer-simulation results further substantiate that the… read more here.
Keywords: dynamic approach; tensor complementarity; gradient dynamic; complementarity problem ... See more keywords
A Kind of Stochastic Eigenvalue Complementarity Problems
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Problems in Engineering"
DOI: 10.1155/2018/7397592
Abstract: With the development of computer science, computational electromagnetics have also been widely used. Electromagnetic phenomena are closely related to eigenvalue problems. On the other hand, in order to solve the uncertainty of input data, the… read more here.
Keywords: complementarity; eigenvalue complementarity; stochastic eigenvalue; complementarity problem ... See more keywords
Procedure for non-smooth contact for planar flexible beams with cone complementarity problem
Sign Up to like & getrecommendations! Published in 2020 at "Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics"
DOI: 10.1177/1464419320957450
Abstract: Contact description plays an important role in modeling of applications involving flexible multibody dynamics. Example of such applications include contact between a belt and pulley, crash-worthiness analysis in aerospace and automotive engineering. Approaches such as… read more here.
Keywords: penalty method; cone complementarity; complementarity problem; complementarity ... See more keywords
On the preconditioned GAOR method for a linear complementarity problem with an M-matrix
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1789-5
Abstract: 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). In this paper, we propose a… read more here.
Keywords: linear complementarity; gaor method; preconditioned gaor; method ... See more keywords
Novel Global Harmony Search Algorithm for General Linear Complementarity Problem
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DOI: 10.3390/axioms11080370
Abstract: Linear complementarity problem (LCP) is studied. After reforming general LCP as the system of nonlinear equations by NCP-function, LCP is equivalent to solving an unconstrained optimization model, which can be solved by a recently proposed… read more here.
Keywords: harmony search; novel global; linear complementarity; complementarity problem ... See more keywords
A full-modified-Newton step $ O(n) $ infeasible interior-point method for the special weighted linear complementarity problem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2021082
Abstract: The weighted complementarity problem (wCP) can be applied to a large variety of equilibrium problems in science, economics and engineering. Since formulating an equilibrium problem as a wCP may lead to highly efficient algorithms for… read more here.
Keywords: problem; complementarity problem; modified newton; full modified ... See more keywords