Nonlinear Geodetic Equations with Uncertainties: Algebraic-Numeric Solutions

Joseph L. Awange (), Béla Paláncz (), Robert H. Lewis () and Lajos Völgyesi ()
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Joseph L. Awange: Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences
Béla Paláncz: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering
Robert H. Lewis: Fordham University
Lajos Völgyesi: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering

Chapter 4 in Mathematical Geosciences, 2023, pp 113-179 from Springer

Abstract: Abstract Techniques for solution of nonlinear equations where coefficients or parameters are uncertain are considered. An algebraic based nonlinear transformation technique of probability density functions, and a method employing stochastic homotopy are presented. These methods are applied to linear as well as nonlinear systems, even in cases when different variables have different types of error distribution. Several geodesical examples are discussed.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_4

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