A Fixed Point Iterative Method for Third-order Tensor Linear Complementarity Problems

Xuezhong Wang (), Ping Wei () and Yimin Wei ()
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Xuezhong Wang: Hexi University
Ping Wei: Hexi University
Yimin Wei: Fudan University

Journal of Optimization Theory and Applications, 2023, vol. 197, issue 1, No 13, 334-357

Abstract: Abstract Fixed point iterative approach for solving the third-order tensor linear complementarity problems (TLCP) is presented in this paper. Theoretical analysis shows that the third-order tensor linear complementarity problem is equivalent to a fixed point equation under tensor T-product. Based on the fixed point equation, a fixed point iterative method is proposed and corresponding convergence proof are studied. Moreover, we provide estimations of the convergence rate. The computer-simulation results further substantiate that the proposed fixed point iterative method can solve the TLCP.

Keywords: Tensor linear complementarity problem; Fixed point iterative method; T-product; Convergence.; 15A18; 15A69; 65F15; 65F10; 90C11 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-023-02169-5

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