54 citations · 155 across the 71 of their papers we have counts for
Showing 2017 · math.OCShow all
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math.OC2017★ 1 cited
A Complete Semidefinite Algorithm for Detecting Copositive Matrices and Tensors
Jiawang Nie, Zi Yang, Xinzhen Zhang
A real symmetric matrix (resp., tensor) is said to be copositive if the associated quadratic (resp., homogeneous) form is greater than or equal to zero over the nonnegative orthant…
math.OC2017
The Split Feasibility Problem with Polynomials
Jiawang Nie, Jinling Zhao
This paper discusses the split feasibility problem with polynomials. The sets are semi-algebraic, defined by polynomial inequalities. They can be either convex or nonconvex, either…
math.OC2017★ 1 cited
Tight Relaxations for Polynomial Optimization and Lagrange Multiplier Expressions
Jiawang Nie
This paper proposes tight semidefinite relaxations for polynomial optimization. The optimality conditions are investigated. We show that generally Lagrange multipliers can be expre…