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https://hdl.handle.net/1822/5741| Title: | Totally nonpositive completions on partial matrices |
| Author(s): | Araújo, C. Mendes Torregrosa, Juan R. Urbano, Ana M. |
| Keywords: | Partial matrix Totally nonpositive matrix Graph Completion problems completion problem undirected graphs |
| Issue date: | Mar-2006 |
| Publisher: | Elsevier |
| Journal: | Linear Algebra and its Applications |
| Citation: | "Linear Algebra and its Applications". ISSN 0024-3795. 413:2-3 (Mar. 2006) 403-424. |
| Abstract(s): | An n £ n real matrix is said to be totally no positive if every minor is no positive. In this paper, we are interested in totally no positive completion problems, that is, does A partial totally no positive matrix have a totally no positive matrix completion? This Problem has, in general, a negative answer. Therefore, we analyze the question: for which Labelled graphs G does every partial totally no positive matrix, whose associated graph is G, have a totally no positive completion? Here we study the mentioned problem when G Is a choral graph or an undirected cycle. |
| Type: | Article |
| URI: | https://hdl.handle.net/1822/5741 |
| DOI: | 10.1016/j.laa.2005.05.013 |
| ISSN: | 0024-3795 |
| Publisher version: | www.sciencedirect.com |
| Peer-Reviewed: | yes |
| Access: | Open access |
| Appears in Collections: |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tnpLAA2.pdf | 182,27 kB | Adobe PDF | View/Open |
