54 citations · 155 across the 71 of their papers we have counts for
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math.OC2018★ 2 cited
The Saddle Point Problem of Polynomials
Jiawang Nie, Zi Yang, Guangming Zhou
This paper studies the saddle point problem of polynomials. We give an algorithm for computing saddle points. It is based on solving Lasserre's hierarchy of semidefinite relaxation…
math.OC2018
Completely Positive Binary Tensors
Jinyan Fan, Jiawang Nie, Anwa Zhou
A symmetric tensor is completely positive (CP) if it is a sum of tensor powers of nonnegative vectors. This paper characterizes completely positive binary tensors. We show that a b…
math.OC2018★ 2 cited
A Matrix Positivstellensatz with lifting polynomials
Igor Klep, Jiawang Nie
Given the projections of two semialgebraic sets defined by polynomial matrix inequalities, it is in general difficult to determine whether one is contained in the other. To address…