Algebraic Geodesy and Geoinformatics

1. Introduction
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

2. Basics of ring theory
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

3. Basics of polynomial theory
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

4. Groebner basis
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

5. Polynomial resultants
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

6. Linear homotpy
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

7. Solutions of Overdetermined Systems
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

8. Extended Newton-Raphson method
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

9. Procrustes solution
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

10. LPS-GNSS orientations and vertical deflections
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

11. Cartesian to ellipsoidal mapping
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

12. Positioning by ranging
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

13. Positioning by resection methods
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

14. Positioning by intersection methods
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

15. GNSS environmental monitoring
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

16. Algebraic diagnosis of outliers
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

17. Datum transformation problems
Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik

Keywords: Earth Sciences, Computer Applications in Earth Sciences, Geographical Information Systems/Cartography, Computational Mathematics and Numerical Analysis, Remote Sensing/Photogrammetry, Mathematical Applications in Earth Sciences