Pregled bibliografske jedinice broj: 903429
Geometric median in the plane
Geometric median in the plane // Elemente der mathematik, 70 (2015), 1; 21-32 doi:10.4171/EM/269 (međunarodna recenzija, članak, znanstveni)
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Naslov
Geometric median in the plane
Autori
Jankov Maširević, Dragana ; Miodragović, Suzana
Izvornik
Elemente der mathematik (0013-6018) 70
(2015), 1;
21-32
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
geometric median ; Torricelli point ; Weiszfield's algorithm
Sažetak
This paper discusses a well-known geometric problem of determining the median of a given set of points in the plane. Firstly, we analyze the problem for three non-collinear points in the plane. We also give some new facts and proofs of familiar claims with several illustrative examples. In addition, we give a generalization for finitely many points in $\mathbb{; ; ; ; ; ; ; R}; ; ; ; ; ; ; ^n$, and describe the Weiszfeld's algorithm which helped us create of a practical example.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)