35 citations · 158 across the 37 of their papers we have counts for
4 papers · 1 filter
Low-Rank Matrix Optimization Over Affine Set
Xinrong Li, Naihua Xiu, Ziyan Luo
The low-rank matrix optimization with affine set (rank-MOA) is to minimize a continuously differentiable function over a low-rank set intersecting with an affine set. Under some su…
P-Tensors, P-Tensors, and Tensor Complementarity Problem
Weiyang Ding, Ziyan Luo, Liqun Qi
The concepts of P- and P-matrices are generalized to P- and P-tensors of even and odd orders via homogeneous formulae. Analog to the matrix case, our P-tensor definition en…
The Sparsest Solutions to -Tensor Complementarity Problems
Ziyan Luo, Liqun Qi, Naihua Xiu
Finding the sparsest solutions to a tensor complementarity problem is generally NP-hard due to the nonconvexity and noncontinuity of the involved norm. In this paper, a sp…
Doubly Nonnegative Tensors, Completely Positive Tensors and Applications
Ziyan Luo, Liqun Qi
The concept of double nonnegativity of matrices is generalized to doubly nonnegative tensors by means of the nonnegativity of all entries and -eigenvalues. This generalization i…