Generating Set Search Methods for Piecewise Smooth Problems

Claudio Bogani, MG Gasparo, A Papini

Research output: Contribution to journalArticle

3 Citations (Scopus)


We consider a direct search approach for solving nonsmooth minimization problems where the objective function is locally Lipschitz continuous and piecewise continuously differentiable on a finite family of polyhedra. A generating set search method is proposed, which is named structured because the structure of the set of nondifferentiability near the current iterate is exploited to define the search directions at each iteration. Some numerical results are presented to validate the approach.
Original languageEnglish
Pages (from-to)321-335
Number of pages15
JournalSIAM Journal on Optimization
Issue number1
Publication statusPublished - 1 Jan 2009


  • Clarke's differential calculus
  • nonsmooth optimization
  • generating set search
  • direct search


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