Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
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- by Don Hadwin, K. J. Harrison and J. A. Ward PDF
- Proc. Amer. Math. Soc. 134 (2006), 2169-2178 Request permission
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.References
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Additional Information
- Don Hadwin
- Affiliation: Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
- Email: don@cisunix.unh.edu
- K. J. Harrison
- Affiliation: School of Mathematical and Physical Sciences, Murdoch University, Murdoch, W.A. 6150, Australia
- Email: K.Harrison@murdoch.edu.au
- J. A. Ward
- Affiliation: Faculty of Science, Curtin University, Bentley, W.A. 6102, Australia
- Email: J.Ward@exchange.curtin.edu.au
- Received by editor(s): April 23, 2002
- Received by editor(s) in revised form: July 15, 2004
- Published electronically: March 20, 2006
- Communicated by: David R. Larson
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2169-2178
- MSC (2000): Primary 15A60
- DOI: https://doi.org/10.1090/S0002-9939-06-08094-4
- MathSciNet review: 2213688