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.

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.

Item 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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