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.
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Proceedings of the American Mathematical Society
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Faculty of Science and Computing
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