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Titlebook: Generalized Convexity and Generalized Monotonicity; Proceedings of the 6 Nicolas Hadjisavvas,Juan Enrique Martínez-Legaz,Je Conference proc

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Representation of a Polynomial Function as a Difference of Convex Polynomials, with an Applicationallows for employing so-called d.c. optimization techniques..Procedures that permit the calculation of the polynomial convex difference representation of any polynomial are presented and analyzed here, and an application is made to a real problem whose functions are polynomials of degrees up to four.
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The Basics of Object-Oriented Programming,del that Rockafellar & Wets called “ray model” of the “cosmic closure” of the Euclidean space in their recent book on Variational Analysis. In this paper we introduce that model and use it to get some new theorems and proofs.
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Cuts and Semidefinite Relaxations for Nonconvex Quadratic Problemsindefinite problems. Our branching scheme exploits the special structure of box constraints as well as the bounding procedure in which a pair of primal and dual solutions of the associated positive semidefinite relaxation is incorporated.
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https://doi.org/10.1007/978-1-4615-0857-1he determination of an MST is simple. Consequently, we are interested in the greatest lower bound for the ratio between the lengths of these both trees: .,which is called the Steiner ratio (of .,)..We look for estimates for .(3,.), depending on the parameter ., and determine general upper bounds for the Steiner ratio of .,.
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