93 citations · 322 across the 31 of their papers we have counts for
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math.OC2015
Lieb's concavity theorem, matrix geometric means, and semidefinite optimization
Hamza Fawzi, James Saunderson
A famous result of Lieb establishes that the map is jointly concave in the pair of positive definite matrices, where…
math.OC2015★ 34 cited
Sparse sum-of-squares certificates on finite abelian groups
Hamza Fawzi, James Saunderson, Pablo A. Parrilo
Let G be a finite abelian group. This paper is concerned with nonnegative functions on G that are sparse with respect to the Fourier basis. We establish combinatorial conditions on…