Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
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.
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
American Mathematical Society
2006
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| Online Access: | http://www.ams.org/journals/proc/2006-134-08/S0002-9939-06-08094-4/S0002-9939-06-08094-4.pdf http://hdl.handle.net/20.500.11937/25896 |