Titlebook: Complementarity, Duality and Symmetry in Nonlinear Mechanics; Proceedings of the I David Y. Gao Conference proceedings 2004 Springer Scienc

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https://doi.org/10.1007/978-90-481-9577-0Boundary value problem; Finite; Fundament; calculus; mathematics; optimization; structure; theorem; partial

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overwrought

https://doi.org/10.1007/978-3-642-55519-0Many problems of classical mechanics are variational in nature, but not convex. This paper shows how the duality theory of convex optimization can be extended to classical mechanics. It is shown in particular that there is a duality theory for functions of square matrices which factor through the determinant.

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https://doi.org/10.1007/978-3-322-94840-3This paper describes dual formulations of two entropy optimization principles, Jaynes’ maximum entropy and Kullback-Leibler’s minimum cross-entropy principles. Particular emphases are given to their applications in various optimization problems such as minimax, complementarity and nonlinear programming problems.

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Non-Convex Duality,Many problems of classical mechanics are variational in nature, but not convex. This paper shows how the duality theory of convex optimization can be extended to classical mechanics. It is shown in particular that there is a duality theory for functions of square matrices which factor through the determinant.