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Pregled bibliografske jedinice broj: 903429

Geometric median in the plane


Jankov Maširević, Dragana; Miodragović, Suzana
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

Poveznice na cjeloviti tekst rada:

doi www.ems-ph.org

Citiraj ovu publikaciju:

Jankov Maširević, Dragana; Miodragović, Suzana
Geometric median in the plane // Elemente der mathematik, 70 (2015), 1; 21-32 doi:10.4171/EM/269 (međunarodna recenzija, članak, znanstveni)
Jankov Maširević, D. & Miodragović, S. (2015) Geometric median in the plane. Elemente der mathematik, 70 (1), 21-32 doi:10.4171/EM/269.
@article{article, author = {Jankov Ma\v{s}irevi\'{c}, Dragana and Miodragovi\'{c}, Suzana}, year = {2015}, pages = {21-32}, DOI = {10.4171/EM/269}, keywords = {geometric median, Torricelli point, Weiszfield's algorithm}, journal = {Elemente der mathematik}, doi = {10.4171/EM/269}, volume = {70}, number = {1}, issn = {0013-6018}, title = {Geometric median in the plane}, keyword = {geometric median, Torricelli point, Weiszfield's algorithm} }
@article{article, author = {Jankov Ma\v{s}irevi\'{c}, Dragana and Miodragovi\'{c}, Suzana}, year = {2015}, pages = {21-32}, DOI = {10.4171/EM/269}, keywords = {geometric median, Torricelli point, Weiszfield's algorithm}, journal = {Elemente der mathematik}, doi = {10.4171/EM/269}, volume = {70}, number = {1}, issn = {0013-6018}, title = {Geometric median in the plane}, keyword = {geometric median, Torricelli point, Weiszfield's algorithm} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Emerging Sources Citation Index (ESCI)


Citati:





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