Applying Newton’s second order optimization method to define transition keys between planar coordinate systems

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Dades bibliogràfiques
Publicat a:	E3S Web of Conferences vol. 224 (2020), p. n/a
Autor principal:	Bykasov, D A
Altres autors:	Zubov, A V, Mustafin, M G
Publicat:	EDP Sciences
Matèries:	Computer programs Geodesy Comparative analysis Mathematical analysis Newton methods Applications programs Algorithms Programming languages Optimization Computer applications Geodetics Visual Basic for Applications Software Cartesian coordinates Environmental
Accés en línia:	Citation/Abstract Full Text - PDF
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Descripció
Resum:	The article considers the theoretical component of Newton’s second-order method, its main advantages and disadvantages when used in geodesy. The algorithm for determining the minimum of target functions by the Newton method of the second order was studied and analyzed in detail. Parameters of connection between flat rectangular coordinate systems are calculated. The task of determining the transition keys is relevant for geodesy. Comparative analysis of Newton’s method with the method of conjugated gradients was carried out. The algorithm for solving this problem was implemented in the Visual Basic for Applications software environment. The obtained data allow us to conclude that the Newton method can be used more widely in geodesy, especially in solving nonlinear optimization problems. However, the successful implementation of the method in geodetic production is possible only if the computational process is automated, by writing software modules in various programming languages to solve a specific problem.
ISSN:	2555-0403 2267-1242
DOI:	10.1051/e3sconf/202022401003
Font:	Engineering Database