Titlebook: Canonical Duality Theory; Unified Methodology David Yang Gao,Vittorio Latorre,Ning Ruan Book 2017 Springer International Publishing AG 201

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Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints,inear transformation, the problem is first reformulated as a standard quadratic 0–1 integer programming problem. Then, by the canonical duality theory, this challenging problem is converted to a concave maximization over a convex feasible set in continuous space. It is proved that if this canonical

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On Minimal Distance Between Two Surfaces, Voisei, C. Zalinescu, Optimization, 60(5), 593–602, 2011). We aim to use the points of view presented in [.] (M.D. Voisei, C. Zalinescu, Optimization, 60(5), 593–602, 2011) to modify the original results and highlight that the consideration of the Gao–Strang total complementary function and the can

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1571-8689 interested in understanding canonical duality theory and app.This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, ca

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https://doi.org/10.1007/978-3-642-72996-6onverted to a unified concave maximization problem over a convex domain, which can be solved easily under certain conditions. Additionally, a detailed proof for triality theory is provided, which can be used to identify local extremal solutions. Applications are illustrated and open problems are presented.

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Canonical Duality Theory for Solving Non-monotone Variational Inequality Problems,ense that they have the same set of KKT points. Existence theorem for global optimal solutions is obtained. Based on the canonical duality theory, this dual problem can be solved via well-developed convex programming methods. Applications are illustrated with several examples.