@Article{klauck_et_al:DagRep.5.2.109, author = {Klauck, Hartmut and Lee, Troy and Theis, Dirk Oliver and Thomas, Rekha R.}, title = {{Limitations of Convex Programming: Lower Bounds on Extended Formulations and Factorization Ranks (Dagstuhl Seminar 15082)}}, pages = {109--127}, journal = {Dagstuhl Reports}, ISSN = {2192-5283}, year = {2015}, volume = {5}, number = {2}, editor = {Klauck, Hartmut and Lee, Troy and Theis, Dirk Oliver and Thomas, Rekha R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagRep.5.2.109}, URN = {urn:nbn:de:0030-drops-50480}, doi = {10.4230/DagRep.5.2.109}, annote = {Keywords: Convex optimization, extended formulations, cone rank, positive semidefinite rank, nonnegative rank, quantum communication complexity, real algebraic geometry} }