A note on upper bounds on the cp-rank |
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Authors: | Naomi Shaked-Monderer |
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Institution: | Emek Yezreel College, Emek Yezreel 19300, Israel |
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Abstract: | Hanna and Laffey gave an upper bound on the cp-rank of a completely positive matrix, in terms of its rank and the number of zeros in a full rank principal submatrix. This bound, for the case that the matrix is positive, was improved by Barioli and Berman. In this paper a new straightforward proof of both results is given, and the same approach is used to improve Hanna and Laffey’s bound in the case that the matrix has a zero entry. |
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Keywords: | 15F48 15A57 |
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