Solution of Algebraic Polynomial 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 1 in Mathematical Geosciences, 2023, pp 3-38 from Springer

Abstract: Abstract Algebraic resultant methods to find zeros of polynomials and polynomial systems like Sylvester and Dixon resultant are introduced. Features and applications of the Gröbner basis as a popular tool for reducing multivariate polynomial systems to a higher order univariate polynomial is also discussed. Many geodesical examples are presented, like planar ranging, 3D resection, GPS meteorology, and pose estimation.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_1

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