Geospatial Algebraic Computations : Theory and Applications - Awange, Joseph; Paláncz, Béla.; SpringerLink (Online service) (Cham : Springer International Publishing : Imprint: Springer, 2016)
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.
Keywords: Geophysics; Computer mathematics; Civil engineering; Computer science-Mathematics.; Numerical analysis; Geophysics/Geodesy.; Computational Mathematics and Numerical Analysis; Civil Engineering; Symbolic and Algebraic Manipulation; Numeric Computing