35 citations · 158 across the 37 of their papers we have counts for
6 papers · 1 filter
Z-tensors and complementarity problems
M. Seetharama Gowda, Ziyan Luo, Liqun Qi +1
Tensors are multidimensional analogs of matrices. In this paper, based on degree-theoretic ideas, we study homogeneous nonlinear complementarity problems induced by tensors. By spe…
Completely Positive Tensors and Multi-Hypergraphs
Changqing Xu, Ziyan Luo, Liqun Qi
Completely positive graphs have been employed to associate with completely positive matrices for characterizing the intrinsic zero patterns. As tensors have been widely recognized…
Characterization Tensors of Balanced Incomplete Block Designs
Liqun Qi, Ziyan Luo
Balanced incomplete block designs (BIBDs) have wide applications in engineering, business and sciences. In this paper, for each (v, k, λ)-BIBD, we construct a strongly symmetric k-…
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…