E3S Web Conf.
Volume 266, 2021Topical Issues of Rational Use of Natural Resources 2021
|Number of page(s)||9|
|Section||Geotechnologies of Subsurface Development: Modern Challenges and Prospects|
|Published online||04 June 2021|
Application of Newton’s method to solve optimization geodetic tasks
Saint Petersburg Mining University, Department of engineering geodesy, Saint Petersburg, Russian Federation
The article provides general information on nonlinear methods of programming. The algorithm for determining the minimum of various target functions by Newton’s method of the second order is considered. The article presents the main advantages and disadvantages of the method. A circular approximation of the chimney measurement results is performed using Newton's method. The algorithm for solving these tasks was implemented in the Visual Basic for Applications software environment. The comparative analysis was held based on Newton’s method of the second order with the gradient methods for solving engineering and geodetic tasks. The data obtained allow considering the possibility of the further application of Newton’s method in geodesy, especially while solving nonlinear optimization problems. The development of modern technology allows to automate the computing process by writing specific software modules. This makes the process of calculating parameters convenient for the surveyor, as it relieves them from routine calculations.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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