Mathematics > Optimization and Control
[Submitted on 4 Dec 2018 (v1), last revised 12 Jun 2019 (this version, v2)]
Title:A dual Simplex-type algorithm for the smallest enclosing ball of balls and related problems
View PDFAbstract: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.
Submission history
From: Marta Cavaleiro [view email][v1] Tue, 4 Dec 2018 06:03:55 UTC (248 KB)
[v2] Wed, 12 Jun 2019 14:19:50 UTC (248 KB)
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