Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
Abstract
We obtain necessary and sufficient conditions for the existence and the uniqueness of rank-one completions of a partial matrix, and we verify a conjecture of Hadwin and Larson concerning the nature of completely rank-nonincreasing linear functionals defined on pattern subspaces.
Citation
Hadwin, D. and Harrison, K. and Ward, J. 2006. Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals. Proceedings of the American Mathematical Society. 134 (8): pp. 2169-2178.
Source Title
Proceedings of the American Mathematical Society
Additional URLs
ISSN
Faculty
Faculty of Science and Computing
Collection
Related items
Showing items related by title, author, creator and subject.
-
Tran, Truyen; Phung, Dinh; Venkatesh, Svetha (2011)Ranking is an important task for handling a large amount of content. Ideally, training data for supervised ranking would include a complete rank of documents (or other objects such as images or videos) for a particular ...
-
Zhu, W.; Berndsen, A.; Madsen, E.; Tan, M.; Stairs, I.; Brazier, A.; Lazarus, P.; Lynch, R.; Scholz, P.; Stovall, K.; Ransom, S.; Banaszak, S.; Biwer, C.; Cohen, S.; Dartez, L.; Flanigan, J.; Lunsford, G.; Martinez, J.; Mata, A.; Rohr, M.; Walker, A.; Allen, B.; Bhat, Ramesh; Bogdanova, S.; Camilo, F.; Chatterjee, S.; Cordes, J.; Crawford, F.; Deneva, J.; Desvignes, G.; Ferdman, R.; Freire, P.; Hessels, J.; Jenet, F.; Kaplan, D.; Kaspi, V.; Knispel, B.; Lee, K.; van Leeuwen, J.; Lyne, A.; McLaughlin, M.; Siemens, X.; Spitler, L.; Venkataraman, A. (2014)In the modern era of big data, many fields of astronomy are generating huge volumes of data, the analysis of which can sometimes be the limiting factor in research. Fortunately, computer scientists have developed powerful ...
-
McLay, S.; McCutcheon, D.; Arendts, Glenn; Macdonald, S.; Fatovich, Daniel (2018)© 2017 Australasian College for Emergency Medicine and Australasian Society for Emergency Medicine Objectives: To determine the priorities for emergency medicine research of patients currently in an ED and to compare their ...