The Log-Exponential Smoothing Technique and Nesterov's Accelerated Gradient Method for Generalized Sylvester Problems

نویسندگان

  • Nguyen Thai An
  • Daniel Giles
  • Nguyen Mau Nam
  • R. Blake Rector
چکیده

The Sylvester smallest enclosing circle problem involves finding the smallest circle that encloses a finite number of points in the plane. We consider generalized versions of the Sylvester problem in which the points are replaced by sets. Based on the log-exponential smoothing technique and Nesterov’s accelerated gradient method, we present an effective numerical algorithm for solving these problems.

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عنوان ژورنال:
  • J. Optimization Theory and Applications

دوره 168  شماره 

صفحات  -

تاریخ انتشار 2016