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: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
American Mathematical Society
2006
|
| 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 |
| _version_ | 1848751833466535936 |
|---|---|
| author | Hadwin, D. Harrison, K. Ward, Jo |
| author_facet | Hadwin, D. Harrison, K. Ward, Jo |
| author_sort | Hadwin, D. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T07:59:00Z |
| format | Journal Article |
| id | curtin-20.500.11937-25896 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:59:00Z |
| publishDate | 2006 |
| publisher | American Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-258962017-10-02T02:27:48Z Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals Hadwin, D. Harrison, K. Ward, Jo 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. 2006 Journal Article http://hdl.handle.net/20.500.11937/25896 http://www.ams.org/journals/proc/2006-134-08/S0002-9939-06-08094-4/S0002-9939-06-08094-4.pdf American Mathematical Society restricted |
| spellingShingle | Hadwin, D. Harrison, K. Ward, Jo Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title | Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title_full | Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title_fullStr | Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title_full_unstemmed | Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title_short | Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| title_sort | rank-one completions of partial matrices and completely rank-nonincreasing linear functionals |
| url | 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 |