6 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
Tensor Eigenvalue Complementarity Problems
Jinyan Fan, Jiawang Nie, Anwa Zhou
This paper studies tensor eigenvalue complementarity problems. Basic properties of standard and complementarity tensor eigenvalues are discussed. We formulate tensor eigenvalue com…
Completely positive tensor decomposition
Jinyan Fan, Anwa Zhou
A symmetric tensor, which has a symmetric nonnegative decomposition, is called a completely positive tensor. We consider the completely positive tensor decomposition problem. A sem…
The CP-matrix Approximation Problem
Jinyan Fan, Anwa Zhou
A symmetric matrix is completely positive (CP) if there exists an entrywise nonnegative matrix such that . In this paper, we study the CP-matrix approximation p…
Interiors of completely positive cones
Anwa Zhou, Jinyan Fan
A symmetric matrix is completely positive (CP) if there exists an entrywise nonnegative matrix such that . We characterize the interior of the CP cone. A semidefi…
The CP-matrix completion problem
Anwa Zhou, Jinyan Fan
A symmetric matrix is completely positive (CP) if there exists an entrywise nonnegative matrix such that . The CP-completion problem is to study whether we can assi…