Overdetermined and Underdetermined Systems

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 3 in Mathematical Geosciences, 2023, pp 77-112 from Springer

Abstract: Abstract The concept of under and over determined systems are introduced. Methods for solution of overdetermined systems like Gauss-Jacobi combinatorical solution, transformation of overdetermined systems into determined ones, extended Newton–Raphson method. Techniques for underdetermined systems like direct minimization, Lagrange method, and method of penalty function. Geodesical examples are presented.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_3

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