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https://hdl.handle.net/1822/1471| Title: | N-matrix completion problem |
| Author(s): | Araújo, C. Mendes Torregrosa, Juan R. Urbano, Ana M. |
| Keywords: | Partial Matrix Matrix completion problem N-matrix Undirected graphs completion problem undirected graph |
| Issue date: | 1-Oct-2003 |
| Publisher: | Elsevier |
| Journal: | Linear Algebra and Its Applications |
| Citation: | "Linear algebra and its applications". ISSN 0024-3795. 372 (2003) 111-125. |
| Abstract(s): | An n x n matrix is called an N-matrix if all principal minors are negative. In this paper, we are interested in N-matrix completion problems, that is, when a partial N-matrix hás an N-matrix completion. In general, a combinatorially or non-combinatorially symmetric partial N-matrix does not have an N-matrix completion. Here we prove that a combinatorially symmetric partial N-matrix has an N-matrix completion if the graph of its specified entries is a 1-chordal graph. We also prove that there exists an N-matrix completion for a partial N-matrix whose associated graph is an undirected cycle. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/1471 |
| DOI: | 10.1016/S0024-3795(03)00500-7 |
| ISSN: | 0024-3795 |
| Peer-Reviewed: | yes |
| Access: | Open access |
| Appears in Collections: |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| NmatC[1].pdf | 200,35 kB | Adobe PDF | View/Open |
