Quadratic growth and critical point stability of semi-algebraic functions

  • Dmitriy Drusvyatskiy
  • Alexander D. Ioffe
    • Categories Nonsmooth Optimization Tags , , , Short URL: https://optimization-online.org/?p=12566

    We show that quadratic growth of a semi-algebraic function is equivalent to strong metric subregularity of the subdifferential --- a kind of stability of generalized critical points. In contrast, this equivalence can easily fail outside of the semi-algebraic setting.

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    13 pages, September, 2013

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