334 citations · 1k across the 76 of their papers we have counts for
90 papers
On semidefinite programming characterizations of the numerical radius and its dual norm
Shmuel Friedland, Chi-Kwong Li
We state and give self contained proofs of semidefinite programming characterizations of the numerical radius and its dual norm for matrices. We show that the computation of the nu…
Complexity of Geometric programming in the Turing model and application to nonnegative tensors
Shmuel Friedland, Stéphane Gaubert
We consider a version of geometric programming problem consisting in minimizing a function given by the maximum of finitely many log-Laplace transforms of discrete nonnegative meas…
Haagerup bound for quaternionic Grothendieck inequality
Shmuel Friedland, Zehua Lai, Lek-Heng Lim
We present here several versions of the Grothendieck inequality over the skew field of quaternions: The first one is the standard Grothendieck inequality for rectangular matrices,…
Infimum of a matrix norm of A induced by an absolute vector norm
Shmuel Friedland
We characterize the infimum of a matrix norm of a square matrix A induced by an absolute norm, over the fields of real and complex numbers. Usually this infimum is greater than the…
Quantum Optimal Transport
Sam Cole, Michał Eckstein, Shmuel Friedland +1
We analyze a quantum version of the Monge--Kantorovich optimal transport problem. The quantum transport cost related to a Hermitian cost matrix is minimized over the set of all…
Upper bounds for the spectral norm of symmetric tensors
Shmuel Friedland
The maximum of the absolute value of a real homogeneous polynomial of degree on the unit sphere corresponds to the spectral norm of the induced real -symmetric tensor $…