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arXiv · 1303.7247

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

Nguyen Thai An·Daniel Giles·Nguyen Mau Nam·R. Blake Rector
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Abstract

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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Nguyen Thai An, Daniel Giles, Nguyen Mau Nam, R. Blake Rector. 2013-03-28. The Log-Exponential Smoothing Technique and Nesterov's Accelerated Gradient Method for Generalized Sylvester Problems. https://arxiv.org/abs/1303.7247

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