Потпуни метод најмањих квадрата у функцији решавања геодетских проблема

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...