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Titlebook: Advances in Convex Analysis and Global Optimization; Honoring the Memory Nicolas Hadjisavvas,Panos M. Pardalos Book 20011st edition Kluwer

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Nonconvex Optimization and Its Applicationshttp://image.papertrans.cn/a/image/147380.jpg
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Advances in Convex Analysis and Global Optimization978-1-4613-0279-7Series ISSN 1571-568X
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Undergraduate Texts in Mathematicsowever, the state constraint is inactive. Unlike the penalization methods previously employed, this gives rise to a new problem with fewer admissible trajectories whose value approximates the original one from above rather than below. The techniques of nonsmooth analysis play the essential role in the construction.
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Variational Problems with Constraints,ave their origin there. Conceptual developments in contemporary convex analysis have in turn enriched that venerable subject by making it possible to treat a vastly larger class of problems effectively in a “neoclassical” framework of extended-real-valued functions and their subgradients.
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Mariano Giaquinta,Stefan Hildebrandtc. algorithms (DCA) to suitable d.c. programs. Some choices of starting points for DCA have been discussed. Finally computational results are reported which prove the globality of sought solutions, the robustness and the efficiency of our method with respect to the Graduated NonConvexity algorithm (GNC).
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https://doi.org/10.1007/BFb0092667row exponentially with problem size. In this work we use a deterministic algorithm for finding the global minimum of this function. The algorithm is based on a branch and bound method that uses techniques of interval analysis. Using the Lennard-Jones potential function, the proposed approach was successfully applied to two example problems.
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Deterministic Global Optimization for Protein Structure Prediction,978-3-540-37212-7
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