Duality Principles in Nonconvex Systems: Theory, Methods and Applications

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Canonical dual approach to solving 0-1 quadratic programming problems (2008, background): “The goal of this paper is to explore the potential of using the recently developed canonical duality theory [2] to characterize the solutions of our primal problem and design a solution procedure for finding global optimizers.”
An Abstract Framework for Elliptic Inverse Problems: Part 2. An Augmented Lagrangian Approach (2009, background): “Some examples of PDEs with discontinuities can be found in [8, 9].”
Three-Step Iterative Algorithms for Multivalued Quasi Variational Inclusions☆ (2001, background): “D. Y. Gao, “Duality Principles in Nonconvex Systems: Theory, Methods and Applications,” Kluwer Academic, Dordrecht, 1999.”
Solutions and optimality criteria to box constrained nonconvex minimization problems (2007, methodology): “In this case, the total complementary function Ξ(x,y) defined by (21) is a so-called super-Lagrangian (see [12]), i.”