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Tensor Complementarity Problems
2020The research of finite-dimensional variational inequality and complementarity problems have been rapidly developed in the theory of existence, uniqueness and sensitivity of solutions, algorithms, and the application of these techniques to transportation planning, regional science, socio-economic analysis, energy modeling and game theory.
Maolin Che, Yimin Wei
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Tensor Complementarity Problems
2018Complementarity problems encompass several important classes of mathematical optimization problems, e.g., linear programming, quadratic programming, linear conic optimization problems, etc. Actually, we always solve an optimization problem via its optimality condition, which usually turns out to be a complementarity problem, e.g., KKT system.
Liqun Qi, Haibin Chen, Yannan Chen
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Solvability of Implicit Complementarity Problems
Annals of Operations Research, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kalashnikov, Vyacheslav V., Isac, George
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Mathematical Programming, 1972
For a given mapF from then-dimensional Euclidean spaceE n into itself, we consider the problem of finding a nonnegative vectorx inE n whose imageF(x) is also nonnegative and such that the two vectors are orthogonal. This problem is refered to in the literature as thecomplemcntarity problcm. The importance of the complementarity problem lies in the fact
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For a given mapF from then-dimensional Euclidean spaceE n into itself, we consider the problem of finding a nonnegative vectorx inE n whose imageF(x) is also nonnegative and such that the two vectors are orthogonal. This problem is refered to in the literature as thecomplemcntarity problcm. The importance of the complementarity problem lies in the fact
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Survey on Vector Complementarity Problems
Journal of Global Optimization, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giannessi F +2 more
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Tensor Complementarity Problems—Part III: Applications
Journal of Optimization Theory and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng-Hai Huang, Liqun Qi
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The continuous complementarity problem
Optimization, 1991We introduce a type of complementarity problems posed over a measure space. Some examples of its application are given, and an algorithm for its solution is described and illustrated with an example.
E.J. Anderson, Soon Yi Wu
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Relational Complementarity Problem
2001The concept of binary relation is applied to generalize the complementarity problem. Dual relations are introduced as an analogue to dual cones in the generalized complementarity problem. A concept of linearization is introduced by considering the minimal linear relation stronger than the given relation. Geometric characteristics are studied as are the
G. Isac, M. M. Kostreva, M. Polyashuk
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On the Linear Complementarity Problem
Management Science, 1975Consider the linear complementarity problem given in the system: [Formula: see text] where, W, Z and q are vectors of dimension n. M is a matrix of order n Ă— n and ZT is the transpose of Z. Any (Z, W) satisfying (1), (2), and (3) is a complementary feasible solution to system (I).
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Generalized linear complementarity problems
Mathematical Programming, 1990The 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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