54 citations · 155 across the 71 of their papers we have counts for
5 papers · 1 filter
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…
Low Rank Symmetric Tensor Approximations
Jiawang Nie
For a given symmetric tensor, we aim at finding a new one whose symmetric rank is small and that is close to the given one. There exist linear relations among the entries of low ra…
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…
Hankel tensor decompositions and ranks
Jiawang Nie, Ke Ye
Hankel tensors are generalizations of Hankel matrices. This article studies the relations among various ranks of Hankel tensors. We give an algorithm that can compute the Vandermon…
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…