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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/
W. Heemels, J. Schumacher, S. Weiland
semanticscholar   +4 more sources

Γ-robust linear complementarity problems

Optimization Methods and Software, 2019
Complementarity problems are often used to compute equilibria made up of specifically coordinated solutions of different optimization problems. Specific examples are game-theoretic settings like the bimatrix game or energy market models like for ...
Vanessa Krebs, Martin Schmidt
semanticscholar   +2 more sources

On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of H+-matrices

Applied Mathematics and Computation, 2020
Horizontal linear complementarity problem has wide applications, such as in mechanical and electrical engineering, structural mechanics, piecewise linear system, telecommunication systems and so on.
Hua Zheng, Seakweng Vong
semanticscholar   +1 more source

Modulus‐based synchronous multisplitting methods for solving horizontal linear complementarity problems on parallel computers

Numerical Linear Algebra with Applications, 2020
In this article, we generalize modulus‐based synchronous multisplitting methods to horizontal linear complementarity problems. In particular, first we define the methods of our concern and prove their convergence under suitable smoothness assumptions ...
F. Mezzadri
semanticscholar   +1 more source

On the convergence of modulus-based matrix splitting methods for horizontal linear complementarity problems in hydrodynamic lubrication

Mathematics and Computers in Simulation, 2020
In this paper, we analyze the solution of horizontal linear complementarity problems arising from finite-difference discretizations of differential problems.
F. Mezzadri, E. Galligani
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
openaire   +2 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.
openaire   +2 more sources

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