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

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Mariano Giaquinta,Stefan Hildebrandtthe unit simplex. The version of branch and bound method for the solution of this problem is studied. Computational testing of suggested algorithm was carried out on Wisconsin Diagnostic Breast Cancer database. We present the results of numerical experiments and discuss them.

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诱拐

https://doi.org/10.1007/978-3-662-06201-2ch, is presented. LSM is used to efficiently extend the class of positive linear programs (PLP), a submodel of linear programming that admits very efficient approximations in sequential, parallel and distributed settings. Theoretical guarantees for the efficiency and the approximation ratio of LSM f

甜瓜

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 (

ALE

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 suc

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https://doi.org/10.1007/978-3-319-77637-8Image Space Analysis is reviewed and some properties of the image problem, corresponding to a given constrained extremum problem, are proved. Then, some remarks are made about optimality conditions and minimum principles.

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Mariano Giaquinta,Stefan HildebrandtA suboptimality theorem, i.e. an .-optimality condition for generalized control systems is proven which also applies in cases if there is no optimal solution. We apply the result to obtain the first suboptimality theorem for differential inclusion problems.