@InProceedings{ivanyos_et_al:LIPIcs.ITCS.2017.55, author = {Ivanyos, G\'{a}bor and Qiao, Youming and Subrahmanyam, K Venkata}, title = {{Constructive Non-Commutative Rank Computation Is in Deterministic Polynomial Time}}, booktitle = {8th Innovations in Theoretical Computer Science Conference (ITCS 2017)}, pages = {55:1--55:19}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-029-3}, ISSN = {1868-8969}, year = {2017}, volume = {67}, editor = {Papadimitriou, Christos H.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2017.55}, URN = {urn:nbn:de:0030-drops-81667}, doi = {10.4230/LIPIcs.ITCS.2017.55}, annote = {Keywords: invariant theory, non-commutative rank, null cone, symbolic determinant identity testing, semi-invariants of quivers} }