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On Toricelli's Problem in Inner Product Spaces

Dragomir, Sever S and Comanescu, Dan and Cho, Yeol Je and Kim, Seong Sik (1999) On Toricelli's Problem in Inner Product Spaces. RGMIA research report collection, 2 (3).

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Abstract

It is well known in Elementary Geometry the problem proposed and solved by Toricelli in the 17th century, to minimize the sum of the distances of a variable point to three fixed points in the plane. In this paper, we extend and solve completely the problem in inner product spaces.

Item Type: Article
Uncontrolled Keywords: Toricelli points, inner product spaces
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 01:22
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17212
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