Virtuous smoothing for global optimization

Jon Lee () and Daphne Skipper ()
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Jon Lee: University of Michigan
Daphne Skipper: U.S. Naval Academy

Journal of Global Optimization, 2017, vol. 69, issue 3, No 7, 677-697

Abstract: Abstract In the context of global optimization and mixed-integer non-linear programming, generalizing a technique of D’Ambrosio, Fampa, Lee and Vigerske for handling the square-root function, we develop a virtuous smoothing method, using cubics, aimed at functions having some limited non-smoothness. Our results pertain to root functions ( $$w^p$$ w p with $$0

Keywords: Global optimization; Non-smooth; Non-differentiable; Piece-wise functions; Roots; Smoothing (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10898-017-0533-x

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