The classical saddle Lagrange duality methods as well as the well-known Fenchel-Rockafellar duality theory can be used mainly for solving convex problems.
The canonical dual transformation method andassociated triduality theory were proposed originally in finite deformation theory [1]. The key idea of this method ...
General nonconvex optimization problems are studied by using the canonical duality-triality theory. The triality theory is proved for sums of exponentials ...
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Apr 15, 2011 · This theory can be used to identify not only the global minimum, but also the largest local minimum, maximum, and saddle points. Application is ...
PDF | General nonconvex optimization problems are studied by using the canonical duality theory. The triality theory is proved for sums of exponentials.
Triality theory is proved for a general unconstrained global optimization problem. The method adopted is simple but mathematically rigorous.
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives.
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Canonical duality theory is a potentially powerful methodology, which can be used to solve a wide class of discrete and continuous global optimization ...
[PDF] Counterexamples to some triality and tri-duality results - MATH UAIC
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A series of publications [1-8] by Gao and his colleagues shown the potential applications of this theory in global optimization. The authors' main discovery ...
In this paper, by providing simple counterexamples, several important results in bi-duality, triality and tri-duality, an optimization theory established ...