Journal article
Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
Proceedings of the American Mathematical Society, Vol.134(08), pp.2169-2179
2006
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.
Details
- Title
- Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals
- Authors/Creators
- D. Hadwin (Author/Creator)K.J. Harrison (Author/Creator)J.A. Ward (Author/Creator)
- Publication Details
- Proceedings of the American Mathematical Society, Vol.134(08), pp.2169-2179
- Publisher
- American Mathematical Society
- Identifiers
- 991005540185507891
- Copyright
- © 2006 American Mathematical Society
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 9 Mathematics
- 9.207 Convergence & Optimization
- 9.207.584 Moore-Penrose Inverse
- Web Of Science research areas
- Mathematics
- Mathematics, Applied
- ESI research areas
- Mathematics