Geospatial Algebraic Computations: Theory and Applications

Part I Algebraic symbolic and numeric methods.- Basics of Ring Theory.- Basics of Polynominal Theory.- Groebner Basis.- Polynominal Resultants.- Linear and Nonlinear Homotpy.- Solutions of Overdetermined Systems.- Extended Newton-Raphson method.- Procrustes Solution.- EIV models and Pareto Optimality.-Symbolic Regression.- Robust Estimation.- Part II Applications to geodesy and geoinformatics.- LPS-GNSS Orientations and vertical Deflections.- Cartesian to Ellipsoidal Mapping.- Positioning by Ranging.-Positioning by resection Methods.- Positioning by intersection Methods.- GNSS Environmental Monitoring.- Algebraic Diagnosis of Outliers.- Datum Transformation Problems.- Appendix.- References.- Index.