Campus Units
Mathematics
Document Type
Article
Publication Version
Accepted Manuscript
Publication Date
1-2007
Journal or Book Title
Linear Algebra and its Applications
Volume
420
DOI
10.1016/j.laa.2006.06.022
Abstract
In [L. Hogben, C.R. Johnson, R. Reams, The copositive matrix completion problem, Linear Algebra Appl. 408 (2005) 207–211] it was shown that any partial (strictly) copositive matrix all of whose diagonal entries are specified can be completed to a (strictly) copositive matrix. In this note we show that every partial strictly copositive matrix (possibly with unspecified diagonal entries) can be completed to a strictly copositive matrix, but there is an example of a partial copositive matrix with an unspecified diagonal entry that cannot be completed to a copositive matrix.
Rights
This manuscript version is made available under the CCBY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Owner
Elsevier Inc.
Copyright Date
2006
Language
en
File Format
application/pdf
Recommended Citation
Hogben, Leslie, "The copositive completion problem: Unspecified diagonal entries" (2007). Mathematics Publications. 82.
https://lib.dr.iastate.edu/math_pubs/82
Comments
This is a manuscript of an article from Linear Algebra and its Applications 420 (2007): 160, doi:10.1016/j.laa.2006.06.022. Posted with permission.