2013/12/24 by Shikun Liu, Liu, Shikun
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Metric Geometry (math.MG) #Optimization and Control (math.OC) #math.MG #math.OC
paper · pdf · doi:10.48550/arxiv.1312.6748
8 pages, 4 figures, 3 tables
openalex publication_date 2013/12/24 · arxiv created 2016/11/17 · arxiv updated 2016/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we begin by introducing a well-known geometry concept: the Fermat point in a triangle. Then, we generalize the problem and propose an iterative algorithm based on gradient descent to the weighted form in Lp space. We also build specific solutions to some special norms: one, two and infinity. We show that the solution may not be unique in norm-one and infinity. Finally, we provide our qualitative results in the PASCAL-based program.