Semi-algebraic functions have small subdifferentials

نویسندگان

  • Dmitriy Drusvyatskiy
  • Adrian S. Lewis
چکیده

We prove that the subdifferential of any semi-algebraic extended-real-valued function on Rn has n-dimensional graph. We discuss consequences for generic semi-algebraic optimization problems.

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عنوان ژورنال:
  • Math. Program.

دوره 140  شماره 

صفحات  -

تاریخ انتشار 2013