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Special Methods

In: Convex Analysis and Global Optimization

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  • Hoang Tuy

    (Institute of Mathematics)

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.

Suggested Citation

  • Hoang Tuy, 2016. "Special Methods," Springer Optimization and Its Applications, in: Convex Analysis and Global Optimization, edition 2, chapter 0, pages 229-281, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31484-6_8
    DOI: 10.1007/978-3-319-31484-6_8
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