Tensor Complementarity Problems—Part I: Basic Theory

• Published in: Journal of optimization theory and applications Vol. 183; no. 1; pp. 1 - 23
• Main Authors: Huang, Zheng-Hai, Qi, Liqun
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2019; Springer Nature B.V
• Subjects: Applications of Mathematics; Calculus of Variations and Optimal Control; Optimization; Engineering; Error analysis; Invited Paper; Mathematical analysis; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Stability analysis; State-of-the-art reviews; Tensors; Theory; Theory of Computation; Error bound theory; 90C30; 90C33; Tensor complementarity problem; Stability and continuity analysis; 65H10; Global uniqueness and solvability; Nonemptiness and compactness of the solution set

Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor complementarity problem is a class of nonlinear complementarity problems with the involved function being defined by a tensor, which is also a direct and natural extension of the linear complementarity problem. In the last...