Special Methods

Hoang Tuy
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Hoang Tuy: Institute of Mathematics

Chapter Chapter 8 in Convex Analysis and Global Optimization, 2016, pp 229-281 from Springer

Abstract: Abstract Many problems have a special structure which should be exploited appropriately for their efficient solution. This chapter presents in the first part special methods adapted to special problems of dc optimization and extensions: polyhedral annexation for concave minimization and reverse convex programming, decomposition method for convex problems depending upon a multivariate parameter, including decomposition of partly convex problems by reducing the duality gap, and optimal visible point method for a particular class of problems with a visibility assumption. The second part of the chapter is devoted to the quasi-gradient duality method for global optimization and the relief indicator method for continuous optimization problems with no special structure.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31484-6_8

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DOI: 10.1007/978-3-319-31484-6_8

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