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Towards sustainable architecture: Enhancing green building energy consumption prediction with integrated variational autoencoders and self-attentive gated recurrent units from multifaceted datasets. [PDF]
Zeng Q, Peng F, Han X.
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Generalized complementarity problem
Journal of Optimization Theory and Applications, 1971A general complementarity problem with respect to a convex cone and its polar in a locally convex, vector-topological space is defined. It is observed that, in this general setting, the problem is equivalent to a variational inequality over a convex cone. An existence theorem is established for this general case, from which several of the known results
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Cybernetics, 1989
Summary: The nonlinear complementarity problem is considered and its close connection with the linear problem of moments is established. New existence conditions are derived in this framework. An algorithm for the solution of the nonlinear complementarity problem is proposed and some convergence propositions are proved.
Pshenichnyj, B. N., Sosnovskij, A. A.
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Summary: The nonlinear complementarity problem is considered and its close connection with the linear problem of moments is established. New existence conditions are derived in this framework. An algorithm for the solution of the nonlinear complementarity problem is proposed and some convergence propositions are proved.
Pshenichnyj, B. N., Sosnovskij, A. A.
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Complementarity problems in linear complementarity systems
Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998Complementarity 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
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Generalized Linear Complementarity Problems
Mathematics of Operations Research, 1995We 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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The Linear Complementarity Problem
Management Science, 1971This study centers on the task of efficiently finding a solution of the linear complementarity problem: Ix − My = q, x ≥ 0, y ≥ 0, x ⊥ y. The main results are: (1) It is shown that Lemke's algorithm will solve (or show no solution exists) the problem for M ∈ L where L is a class of matrices, which properly includes (i) certain copositive matrices, (ii)
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Nonlinear complementarity problem
Optimization, 1992In suggested paper the nonlinear complementarity problem (CP) is considered with relatively new position. Given the continuous mappings of real n-space into itself, find a vector such that g(x) ⩾0f(x) ⩾0g(x)T f(x)=0. The relationship of the CP with the linear problem of the moments is investigated.
B.N. Pshenichnyi, A.A. Sosnovsky
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Tensor Z-eigenvalue complementarity problems
Computational Optimization and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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