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A DC piecewise affine model and a bundling technique in nonconvex nonsmooth minimization. (English) Zbl 1211.90182
Summary: We introduce an algorithm to minimize a function of several variables with no convexity nor smoothness assumptions. The main peculiarity of our approach is the use of an objective function model which is the difference of two piecewise affine convex functions. Bundling and trust region concepts are embedded into the algorithm. Convergence of the algorithm to a stationary point is proved and some numerical results are reported.

90C26 Nonconvex programming, global optimization
65K05 Numerical mathematical programming methods
Full Text: DOI
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