@InProceedings{dadush_et_al:LIPIcs.ESA.2021.36, author = {Dadush, Daniel and Koh, Zhuan Khye and Natura, Bento and V\'{e}gh, L\'{a}szl\'{o} A.}, title = {{An Accelerated Newton-Dinkelbach Method and Its Application to Two Variables per Inequality Systems}}, booktitle = {29th Annual European Symposium on Algorithms (ESA 2021)}, pages = {36:1--36:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-204-4}, ISSN = {1868-8969}, year = {2021}, volume = {204}, editor = {Mutzel, Petra and Pagh, Rasmus and Herman, Grzegorz}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2021.36}, URN = {urn:nbn:de:0030-drops-146172}, doi = {10.4230/LIPIcs.ESA.2021.36}, annote = {Keywords: Newton-Dinkelbach method, fractional optimization, parametric optimization, strongly polynomial algorithms, two variables per inequality systems, Markov decision processes, submodular function minimization} }