@InBook{roese-koerner-schuh_2016, author = {Roese-Koerner, Lutz and Schuh, Wolf-Dieter}, title = {Effects of Different Objective Functions in Inequality Constrained and Rank-Deficient Least-Squares Problems}, booktitle = {VIII Hotine-Marussi Symposium on Mathematical Geodesy: Proceedings of the Symposium in Rome, 17-21 June, 2013}, year = {2016}, editor = {Sneeuw, Nico and Nov{\'a}k, Pavel and Crespi, Mattia and Sans{\`o}, Fernando}, publisher = {Springer International Publishing}, isbn = {978-3-319-30530-1}, pages = {325--331}, doi = {10.1007/1345_2015_140}, url = {https://doi.org/10.1007/1345_2015_140}, abstract = {Rank-deficient estimation problems often occur in geodesy due to linear dependencies or underdetermined systems. Well-known examples are the adjustment of a free geodetic network or a finite element approximation with data gaps. If additional knowledge about the parameters is given in form of inequalities (e.g., non-negativity), a rank-deficient and inequality constrained adjustment problem has to be solved.} }