Modified gradient dynamic approach to the tensor complementarity problem

ABSTRACT

Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP) are presented. Theoretical analysis shows that each of the defined dynamical system models ensures the convergence. The computer-simulation results further substantiate that the considered dynamical system can solve the TCP.

KEYWORDS:

• Tensor complementarity problem
• dynamical system
• activation function
• convergence

AMS SUBJECT CLASSIFICATIONS:

• 15A18
• 15A69
• 65F15
• 65F10
• 90C11

Acknowledgements

We thank the Editor Prof. Burdakov, the associate editor and anonymous reviewer for their detailed and helpful comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Yimin Wei http://orcid.org/0000-0001-6192-0546

Additional information

Funding

Y. Wei is supported by the National Natural Science Foundation of China [grant number 11771099] and Shanghai Municipal Education Commission. M. Che is supported by the Fundamental Research Funds for the Central Universities [grant number JBK 1801058]. L. Qi is supported by the Hong Kong Research Grant Council [grant numbers PolyU 15302114, 15300715, 15301716 and 15300717]; Hong Kong Polytechnic University, Hong Kong.