93 citations · 322 across the 31 of their papers we have counts for
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math.OC2017★ 2 cited
Improving Efficiency and Scalability of Sum of Squares Optimization: Recent Advances and Limitations
Amir Ali Ahmadi, Georgina Hall, Antonis Papachristodoulou +2
It is well-known that any sum of squares (SOS) program can be cast as a semidefinite program (SDP) of a particular structure and that therein lies the computational bottleneck for…
math.OC2017★ 4 cited
A spectrahedral representation of the first derivative relaxation of the positive semidefinite cone
James Saunderson
If is an symmetric matrix, then the directional derivative of in the direction is the elementary symmetric polynomial of degree in the…
math.OC2017★ 93 cited
Semidefinite approximations of the matrix logarithm
Hamza Fawzi, James Saunderson, Pablo A. Parrilo
The matrix logarithm, when applied to Hermitian positive definite matrices, is concave with respect to the positive semidefinite order. This operator concavity property leads to nu…