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arXiv · 1812.01236

A dual Simplex-type algorithm for the smallest enclosing ball of balls and related problems

Marta Cavaleiro·Farid Alizadeh
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Abstract

We define the notion of infimum of a set of points with respect to the second order cone. This problem can be showed to be equivalent to the minimum ball containing a set of balls problem and to the maximum intersecting ball problem, as well as others. We present a dual algorithm which can be viewed as an extension of the simplex method to solve this problem.

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Marta Cavaleiro, Farid Alizadeh. 2018-12-04. A dual Simplex-type algorithm for the smallest enclosing ball of balls and related problems. https://doi.org/10.1007/s10589-021-00283-6

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