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Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals

Hadwin, D., Harrison, K.J. and Ward, J.A. (2006) Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals. Proceedings of the American Mathematical Society, 134 (08). pp. 2169-2179.

Free to read: http://dx.doi.org/10.1090/S0002-9939-06-08094-4
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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.

Publication Type: Journal Article
Murdoch Affiliation: School of Chemical and Mathematical Science
Publisher: American Mathematical Society
Copyright: © 2006 American Mathematical Society
URI: http://researchrepository.murdoch.edu.au/id/eprint/12595
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