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Discrete convex analysis / Murota, Kazuo
A theory of "discrete convex analysis" is developed for integer-valued functions defined on integer lattice points. The theory parallels the ordinary convex analysis, covering discrete analogues of the fundamental concepts such as conjugacy, subgradients, the Fenchel min-max duality, separation theorems and the Lagrange duality framework for convex/nonconvex optimization. [...]
1998
Mathematical Programming, vol. 83 n. 3 (1998) p. 313-371

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