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BFGS convergence to nonsmooth minimizers of convex functions

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 نشر من قبل Adrian Lewis
 تاريخ النشر 2017
  مجال البحث
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The popular BFGS quasi-Newton minimization algorithm under reasonable conditions converges globally on smooth convex functions. This result was proved by Powell in 1976: we consider its implications for functions that are not smooth. In particular, an analogous convergence result holds for functions, like the Euclidean norm, that are nonsmooth at the minimizer.


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