The copositive completion problem: Unspecified diagonal entries |
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Authors: | Leslie Hogben |
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Affiliation: | Department of Mathematics, Iowa State University, Carver Hall, Ames, IA 50011, USA |
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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. |
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Keywords: | 15A18 15A48 15A63 05C50 |
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