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A bundle-Newton method for nonsmooth unconstrained minimization. (English) Zbl 0920.90132
Summary: An algorithm based on a combination of the polyhedral and quadratic approximation is given for finding stationary points for unconstrained minimization problems with locally Lipschitz problem functions that are not necessarily convex or differentiable. Global convergence of the algorithm is established. Under additional assumptions, it is shown that the algorithm generates Newton iterations and that the convergence is superlinear. Some encouraging numerical experience is reported.

90C30 Nonlinear programming
49J52 Nonsmooth analysis
Full Text: DOI
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