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- W2119553628 abstract "Using a geometric argument, we show that under a reasonable continuity condition, the Clarke subdifferential of a semi-algebraic (or more generally stratifiable) directionally Lipschitzian function admits a simple form: The normal cone to the domain and limits of gradients generate the entire Clarke subdifferential. The characterization formula we obtain unifies various apparently disparate results that have appeared in the literature. Our techniques also yield a simplified proof that closed semialgebraic functions on R n have a limiting subdifferential graph of uniform local dimension n." @default.
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- W2119553628 date "2015-05-01" @default.
- W2119553628 modified "2023-10-12" @default.
- W2119553628 title "Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions" @default.
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- W2119553628 doi "https://doi.org/10.1287/moor.2014.0672" @default.
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