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Pregledni rad
https://doi.org/10.17559/TV-20160809163639

Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks

Cevat Inal   ORCID icon orcid.org/0000-0001-8980-2074 ; Selcuk University, Engineering Faculty, Department of Geomatics Engineering, 42075, Selcuklu, Konya, Turkey
Mevlut Yetkin ; Izmir Katipcelebi University, Engineering and Architecture Faculty, Department of Geomatics Engineering, 35620, Cigli, Izmir, Turkey
Sercan Bulbul   ORCID icon orcid.org/0000-0001-6066-611X ; Selcuk University, Engineering Faculty, Department of Geomatics Engineering, 42075, Selcuklu, Konya, Turkey
Burhaneddin Bilgen   ORCID icon orcid.org/0000-0002-1955-7568 ; Selcuk University, Engineering Faculty, Department of Geomatics Engineering, 42075, Selcuklu, Konya, Turkey

Puni tekst: engleski, pdf (481 KB) str. 216-221 preuzimanja: 237* citiraj
APA 6th Edition
Inal, C., Yetkin, M., Bulbul, S. i Bilgen, B. (2018). Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks. Tehnički vjesnik, 25 (Supplement 1), 216-221. https://doi.org/10.17559/TV-20160809163639
MLA 8th Edition
Inal, Cevat, et al. "Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks." Tehnički vjesnik, vol. 25, br. Supplement 1, 2018, str. 216-221. https://doi.org/10.17559/TV-20160809163639. Citirano 21.07.2019.
Chicago 17th Edition
Inal, Cevat, Mevlut Yetkin, Sercan Bulbul i Burhaneddin Bilgen. "Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks." Tehnički vjesnik 25, br. Supplement 1 (2018): 216-221. https://doi.org/10.17559/TV-20160809163639
Harvard
Inal, C., et al. (2018). 'Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks', Tehnički vjesnik, 25(Supplement 1), str. 216-221. https://doi.org/10.17559/TV-20160809163639
Vancouver
Inal C, Yetkin M, Bulbul S, Bilgen B. Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks. Tehnički vjesnik [Internet]. 2018 [pristupljeno 21.07.2019.];25(Supplement 1):216-221. https://doi.org/10.17559/TV-20160809163639
IEEE
C. Inal, M. Yetkin, S. Bulbul i B. Bilgen, "Comparison of L1 Norm and L2 Norm Minimisation Methods in Trigonometric Levelling Networks", Tehnički vjesnik, vol.25, br. Supplement 1, str. 216-221, 2018. [Online]. https://doi.org/10.17559/TV-20160809163639

Sažetak
The most widely-used parameter estimation method today is the L2 norm minimisation method known as the Least Squares Method (LSM). The solution to the L2 norm minimisation method is always unique and is easily computed. This method distributes errors and is sensitive to outlying measurements. Therefore, a robust technique known as the Least Absolute Values Method (LAVM) might be used for the detection of outliers and for the estimation of parameters. In this paper, the formulation of the L1 norm minimisation method will be explained and the success of the method in the detection of gross errors will be investigated in a trigonometric levelling network.

Ključne riječi
linear programming; measurements with gross error; simplex method; trigonometric levelling networks

Hrčak ID: 200621

URI
https://hrcak.srce.hr/200621

Posjeta: 365 *