The Fermat-Torricelli problem. I: A discrete gradient-method approach
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Publication:368737
DOI10.1007/s10957-013-0266-zzbMath1292.90282OpenAlexW2113712167MaRDI QIDQ368737
Horst Martini, Yaakov S. Kupitz, Margarita Spirova
Publication date: 23 September 2013
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0266-z
Steiner minimal treesCauchy-Schwarz inequalityaffine flatsdiscrete gradient methodFasbender dualityFermat-Torricelli problemlocation sciencemultifocal ellipsesSteiner-Weber problemVarignon frame
Related Items (9)
On the optimality of Napoleon triangles ⋮ On Newton's method for the Fermat-Weber location problem ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ The generalized Fermat-Torricelli problem in Hilbert spaces ⋮ On some novel methods for solving the generalized Fermat-Torricelli problem in Hilbert spaces ⋮ Geometry of the weighted Fermat-Torricelli problem ⋮ Minsum location extended to gauges and to convex sets ⋮ Constructions of solutions to generalized Sylvester and Fermat-Torricelli problems for Euclidean balls ⋮ Weiszfeld's method: old and new results
Cites Work
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- Applications of variational analysis to a generalized Fermat-Torricelli problem
- Algebraic optimization: The Fermat-Weber location problem
- An extension of the Fermat-Torricelli problem
- Minsum hyperspheres in normed spaces
- Geometrical properties of the Fermat-Weber problem
- The algebraic degree of geometric optimization problems
- Geometric methods and optimization problems
- Napoleon's theorem with weights in \(n\)-space
- The Fermat-Torricelli point and isosceles tetrahedra
- Centroids, centers, medians: What is the difference?
- Steiner minimal trees
- Shortest connectivity. An introduction with applications in phylogeny.
- The Fermat--Torricelli problem in normed planes and spaces
- Simple counter examples for the unsolvability of the Fermat- and Steiner-Weber-problem by compass and ruler
- Median spheres: Theory, algorithms, applications
- New extensions of Napoleon's theorem to higher dimensions
- On Generalizations of Conics and on a Generalization of the Fermat- Torricelli Problem
- Steiner Minimal Trees
- Euclidean Constructibility in Graph-Minimization Problems
- Median and center hyperplanes in Minkowski spaces -- a unified approach
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