Torricelli's Problem in the Minkowskian Plane

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Balan, Trandafir T (2000) Torricelli's Problem in the Minkowskian Plane. RGMIA research report collection, 4 (1).


We analyse the problem to minimize the sum of distances of a point to three fixed points in a plane, which is endowed with an indefinite inner product structure. The Minkowskian plane is prefered since it allows an immediate physical interpretation.

Item type Article
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Minkowskian plane, Torricelli's point, triangles, 46C20, 83A05, Minkowskian space-time
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