93 citations · 322 across the 31 of their papers we have counts for
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math.OC2012★ 13 cited
Polynomial-sized Semidefinite Representations of Derivative Relaxations of Spectrahedral Cones
James Saunderson, Pablo A. Parrilo
We give explicit polynomial-sized (in and ) semidefinite representations of the hyperbolicity cones associated with the elementary symmetric polynomials of degree in …
math.OC2012★ 32 cited
Diagonal and Low-Rank Matrix Decompositions, Correlation Matrices, and Ellipsoid Fitting
James Saunderson, Venkat Chandrasekaran, Pablo A. Parrilo +1
In this paper we establish links between, and new results for, three problems that are not usually considered together. The first is a matrix decomposition problem that arises in a…