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

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Unified Interior Point Methodology for Canonical Duality in Global Optimization,lobal convergence result for the algorithm under mild assumptions. Our methodology is quite general and can be applied to several problems which dual has been formulated with canonical duality theory and shows the possibility of devising efficient interior points methods for nonconvex duality.
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Michal Kopecky,Marta Vomlelova,Peter Vojtasor nonconvex systems, the ellipticity depends not only on the stored energy, but also on the external force field. Uniqueness is proved based on a generalized quasiconvexity and a generalized ellipticity condition. Application is illustrated for nonconvex logarithm stored energy.
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A Query Language for Workflow Instance Datally, the theoretical results are verified by applications to Monge’s problem. Although the problem is addressed in one-dimensional space, the theory and method can be generalized to solve high-dimensional problems.
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Analytic Solutions to Large Deformation Problems Governed by Generalized Neo-Hookean Model,or nonconvex systems, the ellipticity depends not only on the stored energy, but also on the external force field. Uniqueness is proved based on a generalized quasiconvexity and a generalized ellipticity condition. Application is illustrated for nonconvex logarithm stored energy.
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Canonical Duality Method for Solving Kantorovich Mass Transfer Problem,lly, the theoretical results are verified by applications to Monge’s problem. Although the problem is addressed in one-dimensional space, the theory and method can be generalized to solve high-dimensional problems.
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