Bundle Methods for Nonsmooth DC Optimization

Kaisa Joki () and Adil M. Bagirov ()
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Kaisa Joki: University of Turku, Department of Mathematics and Statistics
Adil M. Bagirov: Federation University Australia, School of Science, Engineering and Information Technology

Chapter Chapter 8 in Numerical Nonsmooth Optimization, 2020, pp 263-296 from Springer

Abstract: Abstract This chapter is devoted to algorithms for solving nonsmooth unconstrained difference of convex optimization problems. Different types of stationarity conditions are discussed and the relationship between sets of different stationary points (critical, Clarke stationary and inf-stationary) is established. Bundle methods are developed based on a nonconvex piecewise linear model of the objective function and the convergence of these methods is studied. Numerical results are presented to demonstrate the performance of the methods.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-34910-3_8

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DOI: 10.1007/978-3-030-34910-3_8

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