Uneingeschränkter Zugang

Some properties of the basins of attraction of the Newton’s method for simple nonlinear geodetic systems


Zitieren

Banach, S. (1922). Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales (On operations in abstract sets and their application to integral equations). Fundamenta Mathematicae, 3(1):133–181. Search in Google Scholar

Barnsley, M. F. (2000). Fractals everywhere. Morgan Kaufmann Publishers, 2 edition. Search in Google Scholar

Dennis, J. E. J. and Schnabel, R. B. (1996). Numerical Methods for Unconstrained Optimization and Nonlinear Equations, volume 16 of Classics In Applied Mathematics. SIAM, Philadelphia, 2 edition. Search in Google Scholar

Ghilani, C. D. (2017). Adjustment computations: Spatial data analysis. Wiley, 6 edition. Search in Google Scholar

Guckenheimer, J. and Holmes, P. (1983). Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, volume 42 of Applied Mathematical Sciences. Springer, New York. Search in Google Scholar

Kelley, C. T. (1995). Iterative methods for linear and nonlinear equations. SIAM, Philadelphia. Search in Google Scholar

Kincaid, D. and Cheney, W. (2002). Numerical Analysis: Mathematics of Scientific Computing. University of Texas, Austin, 3 edition. Search in Google Scholar

Kroszczynski, K. and Winnicki, I. (2002). The properties of strange attractor reconstructed from the time series of tropospheric mean temperature. In Proceedings of the 18th International Conference on Interactive Information and Processing Systems for Meteorology, Oceanography and Hydrology (IIPS), pages 199–200, Orlando, FL. American Meteorological Society. Search in Google Scholar

Lothar, G. (1993). Developments with respect to the automated processing and analysis of engineering survey data. In Proceedings of the Applications of Geodesy to Engineering, pages 175–184. Search in Google Scholar

Nielsen, A. A. (2013). Least squares adjustment: Linear and nonlinear weighted regression analysis. Search in Google Scholar

Nusse, H. E. and Yorke, J. A. (1998). Dynamics: Numerical Explorations. Applied Mathematical Sciences. Springer, New York. Search in Google Scholar

Ortega, J. M. (1972). Numerical Analysis. A Second Course. Computer Science and Applied Mathematics: Monographs and Textbooks. Academic Press, New York. Search in Google Scholar

Ortega, J. M. and Rheinboldt, W. C. (1970). Iterative Solutions of Nonlinear Equations in Several Variables. Academic Press, New York. Search in Google Scholar

Ostrowski, A. M. (1966). Solutions of Equations and Systems of Equations, volume 9 of Pure and Applied Mathematics: Monographs and Textbooks. Academic Press, New York, 2 edition. Search in Google Scholar

Qureshi, S., Chicharro, F. I., Argyros, I. K., Soomro, A., Alahmadi, J., and Hincal, E. (2024). A new optimal numerical root-solver for solving systems of nonlinear equations using local, semi-local, and stability analysis. Axioms, 13(6), doi:10.3390/axioms13060341. Search in Google Scholar

Siki, Z. (2018). Geoeasy an open source project for surveying calculations. Geoinformatics FCE CTU, 17(2):1–8, doi:10.14311/gi.17.2.1. Search in Google Scholar

Traub, J. F. (1982). Iterative Methods for the Solution of Equations. American Mathematical Society, New York, 2 edition. Search in Google Scholar

Uren, J. and Price, B. (1985). Intersection and resection. Surveying for Engineers, 108:188–196. Search in Google Scholar

Čepek, A. (2002). The GNU GaMa Project – Adjustment of geodetic networks. Acta Polytechnica, 42(3):26–30, doi:10.14311/350. Search in Google Scholar

eISSN:
2391-8152
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Informatik, andere, Geowissenschaften, Geodäsie, Kartografie und Photogrammetrie