Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function

Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function

In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.

Bibliographic Details
Main Authors: Franco Rubio López, Patricia Edith Alvarez Rodriguez, Heyssen Dueñes Chávez
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-07-01
Series:Selecciones Matemáticas
Subjects:
The Weber problema
Weighted Geometric Median
Riemannian manifold
Strongly convex set
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2455

Internet

http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2455

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