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arXiv · 1706.10256

A faster dual algorithm for the Euclidean minimum covering ball problem

Marta Cavaleiro·Farid Alizadeh
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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.

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Marta Cavaleiro, Farid Alizadeh. 2019-03-30. A faster dual algorithm for the Euclidean minimum covering ball problem. https://doi.org/10.1007/s10479-018-3123-5

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