Synopsis
Algebraic symbolic and numeric methods.- Basics of ring theory.- Basics of polynomial theory.- Groebner basis.- Polynomial resultants.- Linear homotpy.- Solutions of Overdetermined Systems.- Extended Newton-Raphson method.- Procrustes solution.- 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.
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