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math.OC2014★ 70 cited
Positive semidefinite rank
Hamza Fawzi, João Gouveia, Pablo A. Parrilo +2
Let M be a p-by-q matrix with nonnegative entries. The positive semidefinite rank (psd rank) of M is the smallest integer k for which there exist positive semidefinite matrices $A_…
math.OC2014★ 1 cited
Rational and real positive semidefinite rank can be different
João Gouveia, Hamza Fawzi, Richard Z. Robinson
Given a nonnegative matrix M with rational entries, we consider two quantities: the usual positive semidefinite (psd) rank, where the matrix is factored through the cone of real sy…