Tensor Complementarity Problems

   
A. Tensor Complementarity Problem
   
[1]

M. Che, L. Qi and Y. Wei, “Positive definite tensors to nonlinear complementarity problems”, Journal of  Optimization Theory and Applications, 168 (2016) 475-487.

 

[2]

Y. Song and L. Qi, “Property of tensor complementarity problem and some classes of structured tensors”, November 2014.  arXiv:1412.0113v2.

 

[3]

Y. Song and L. Qi, “Tensor complementarity problem and semi-positive tensors”, Journal of Optimization Theory and Applications169 (2016) 1069-1078.

 

[4]

Z. Luo, L. Qi and N. Xiu, “The sparsest solutions to Z-tensor complementarity problems”, Optimization Letters, 11 (2017) 471-482.

 

[5]

Y. Song and L. Qi, “Strictly semi-positive tensors and the boundedness of tensor complementarity problems, Optimization Letters DOI: 10.1007/s11590-016-1104-7.

 

[6]

M.S. Gowda, Z. Luo, L. Qi and N. Xiu, Z-tensors and complementarity problems”, October 2015.   arXiv:1510.07933.

 

[7]

Z. Huang and L. Qi, “Formulating an n-person noncooperative game as a tensor complementarity problem”, Computational Optimization and Applications 66 (2017) 557-576.

 

B.

P. Tensors

 

[8]

Y. Song and L. Qi, “Properties of some classes of structured tensors”, Journal of Optimization Theory and Applications  165 (2015) 854-873.

 

[9]

W. Ding, Z. Luo and L. Qi, “P-Tensors, P$_0$-Tensors, and Tensor Complementarity Problem”, July 2015.  arXiv:1507.06731.

 

C.

Tensor Eigenvalue Complementarity Problem

 

[10]

C. Ling, H. He and L. Qi, “On the cone eigenvalue complementarity problem for higher-order tensors”, Computational Optimization and Applications 63 (2016) 143-168.

 

[11]

Y. Song and L. Qi, “Eigenvalue analysis of constrained minimization problem for homogeneous polynomials”, Journal of Global Optimization 64 (2016) 563-575.

 

[12]

C. Ling, H. He and L. Qi, “Higher-degree eigenvalue complementarity problems for tensors”, Computational Optimization and Applications 64 (2016) 149-176.

 

[13]

Z. Chen and L. Qi, A semismooth Newton method for tensor eigenvalue complementarity problem Computational Optimization and Applications 65 (2016) 109-126.