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math.OC2013★ 7 cited
Worst-Case Results For Positive Semidefinite Rank
João Gouveia, Richard Z. Robinson, Rekha R. Thomas
This paper presents various worst-case results on the positive semidefinite (psd) rank of a nonnegative matrix, primarily in the context of polytopes. We prove that the psd rank of…
math.OC2013
Which Nonnegative Matrices Are Slack Matrices?
João Gouveia, Roland Grappe, Volker Kaibel +3
In this paper we characterize the slack matrices of cones and polytopes among all nonnegative matrices. This leads to an algorithm for deciding whether a given matrix is a slack ma…