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

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Gepubliceerd in:E3S Web of Conferences vol. 224 (2020), p. n/a
Hoofdauteur: Bykasov, D A
Andere auteurs: Zubov, A V, Mustafin, M G
Gepubliceerd in:
EDP Sciences
Onderwerpen:
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
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Samenvatting: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
Bron:Engineering Database