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

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Anastasia Birillo,Nikita Bobrovhow that if the primal problem and its canonical dual have the same dimension, the triality theory holds strongly in the tri-duality form as it was originally proposed. Otherwise, both the canonical min-max duality and the double-max duality still hold strongly, but the double-min duality holds weak

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Dislocation

conservative

Thrombosis and Cerebrovascular Diseaseuch that the original nonconvex minimization problem is first reformulated as a convex–concave saddle point optimization problem, which is then solved by a quadratically perturbed primal–dual method. Numerical examples are illustrated. Comparing with the existing results, the proposed algorithm can

FIN

W. Hacke,G. J. Del Zoppo,L. A. Harkerwe propose an interior point potential reduction algorithm based on the solution of the primal–dual total complementarity function. We establish the global convergence result for the algorithm under mild assumptions. Our methodology is quite general and can be applied to several problems which dual

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Complexity of Polytope Volume Computation,nciple of minimum total potential energy, this most challenging problem can be formulated as a bi-level mixed integer nonlinear programming problem (MINLP), i.e., for a given deformation, the first-level optimization is a typical linear constrained 0–1 programming problem, while for a given structur

Ondines-curse

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Shridhar B. Devamane,Trupthi Raoell known as a trust region subproblem and has been studied extensively for decades. The main challenge is solving the so-called hard case, i.e., the problem has multiple solutions on the boundary of the sphere. By canonical duality-triality theory, this challenging problem is able to be reformulate