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Потпуни метод најмањих квадрата у функцији решавања геодетских проблема

Total Least Sqares Method for Solving Geodetic Tasks.

Thumbnail
2016
1690-teza.pdf (1.295Mb)
1690.pdf (119.5Kb)
Authors
Popović, Jovan
Contributors
Aleksić, Ivan R.
Božić, Branko
Erić, Aleksandra
Ninkov, Toša
Aleksić, Ivan R.
Doctoral thesis (Published version)
Metadata
Show full item record
Abstract
Doktorska teza je posvećena primeni tehnike potpune metode najmanjeg kvadrata...
A doctoral thesis deals with the application of Total Least Squares (TLS) techniques forparameters estimation of mathematical models for various geodetic problems. TotalLeast Squares is a relatively new technique of parameters model estimation. The firstresearch in the field of mathematics dating from the early eighties and the firstapplications appeared in various nongeodetic disciplines.Studies on possibility of applications in the parameters estimation of geodetic modelsare of later date, there are about ten years ago (Kupferer, 2005 Schaffrin, 2006).Research is developing towards adjustment TLS geodetic problems in the sense findinga solution that include different accuracy and mutual correlation of data (measurementresults). In order to achieve this, rather than solutions obtained by decomposition of theextended matrix model on the singular values (SVD), solutions based on theminimization of Lagrange's objective function (Euler-Lagrange's method) aredeveloped...
Keywords:
matematičko modeliranje / Mathematic modelling / Gauss-Markovljev metod / Gauss-Helmertov metod / potpuni metod najmanjeg kvadrata / Gauss-Markov model / Gauss-Helmert model / Total Least Squares (TLS).
Source:
Универзитет у Београду, 2016
Publisher:
  • Универзитет у Београду, Грађевински факултет
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_nardus_8045
URI
http://eteze.bg.ac.rs/application/showtheses?thesesId=4921
https://fedorabg.bg.ac.rs/fedora/get/o:15402/bdef:Content/download
http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=513739154
http://nardus.mpn.gov.rs/123456789/8045
https://grafar.grf.bg.ac.rs/handle/123456789/1692
Collections
  • Докторске дисертације / Doctoral dissertations
  • Катедра за геодезију и геоинформатику
  • Radovi istraživača / Researcher's publications
Institution/Community
GraFar
TY  - THES
AU  - Popović, Jovan
PY  - 2016
UR  - http://eteze.bg.ac.rs/application/showtheses?thesesId=4921
UR  - https://fedorabg.bg.ac.rs/fedora/get/o:15402/bdef:Content/download
UR  - http://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=513739154
UR  - http://nardus.mpn.gov.rs/123456789/8045
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1692
AB  - Doktorska teza je posvećena primeni tehnike potpune metode najmanjeg kvadrata...
AB  - A doctoral thesis deals with the application of Total Least Squares (TLS) techniques forparameters estimation of mathematical models for various geodetic problems. TotalLeast Squares is a relatively new technique of parameters model estimation. The firstresearch in the field of mathematics dating from the early eighties and the firstapplications appeared in various nongeodetic disciplines.Studies on possibility of applications in the parameters estimation of geodetic modelsare of later date, there are about ten years ago (Kupferer, 2005 Schaffrin, 2006).Research is developing towards adjustment TLS geodetic problems in the sense findinga solution that include different accuracy and mutual correlation of data (measurementresults). In order to achieve this, rather than solutions obtained by decomposition of theextended matrix model on the singular values (SVD), solutions based on theminimization of Lagrange's objective function (Euler-Lagrange's method) aredeveloped...
PB  - Универзитет у Београду, Грађевински факултет
T2  - Универзитет у Београду
T1  - Потпуни метод најмањих квадрата у функцији решавања геодетских проблема
UR  - https://hdl.handle.net/21.15107/rcub_nardus_8045
ER  - 
@phdthesis{
author = "Popović, Jovan",
year = "2016",
abstract = "Doktorska teza je posvećena primeni tehnike potpune metode najmanjeg kvadrata..., A doctoral thesis deals with the application of Total Least Squares (TLS) techniques forparameters estimation of mathematical models for various geodetic problems. TotalLeast Squares is a relatively new technique of parameters model estimation. The firstresearch in the field of mathematics dating from the early eighties and the firstapplications appeared in various nongeodetic disciplines.Studies on possibility of applications in the parameters estimation of geodetic modelsare of later date, there are about ten years ago (Kupferer, 2005 Schaffrin, 2006).Research is developing towards adjustment TLS geodetic problems in the sense findinga solution that include different accuracy and mutual correlation of data (measurementresults). In order to achieve this, rather than solutions obtained by decomposition of theextended matrix model on the singular values (SVD), solutions based on theminimization of Lagrange's objective function (Euler-Lagrange's method) aredeveloped...",
publisher = "Универзитет у Београду, Грађевински факултет",
journal = "Универзитет у Београду",
title = "Потпуни метод најмањих квадрата у функцији решавања геодетских проблема",
url = "https://hdl.handle.net/21.15107/rcub_nardus_8045"
}
Popović, J.. (2016). Потпуни метод најмањих квадрата у функцији решавања геодетских проблема. in Универзитет у Београду
Универзитет у Београду, Грађевински факултет..
https://hdl.handle.net/21.15107/rcub_nardus_8045
Popović J. Потпуни метод најмањих квадрата у функцији решавања геодетских проблема. in Универзитет у Београду. 2016;.
https://hdl.handle.net/21.15107/rcub_nardus_8045 .
Popović, Jovan, "Потпуни метод најмањих квадрата у функцији решавања геодетских проблема" in Универзитет у Београду (2016),
https://hdl.handle.net/21.15107/rcub_nardus_8045 .

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