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A faster dual algorithm for the Euclidean minimum covering ball problem

Marta Cavaleiro(marta.cavaleiro***at***rutgers.edu)
Farid Alizadeh(farid.alizadeh***at***rutgers.edu)

Abstract: Dearing and Zeck presented a dual algorithm for the problem of the minimum covering ball in $\mathbb{R}^n$. Each iteration of their algorithm has a computational complexity of at least $\mathcal O(n^3)$. In this paper we propose a modification to their algorithm that, together with an implementation that uses updates to the QR factorization of a suitable matrix, achieves a $\mathcal O(n^2)$ iteration.

Keywords: minimum covering ball, smallest enclosing ball, 1-center, minmax location, computational geometry

Category 1: Convex and Nonsmooth Optimization (Convex Optimization )

Citation: June 2017

Download: [PDF]

Entry Submitted: 06/30/2017
Entry Accepted: 06/30/2017
Entry Last Modified: 06/30/2017

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