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

Journal of Optimization Theory and Applications, ISSN: 1573-2878, Vol: 197, Issue: 1, Page: 334-357
2023
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  • Citations
    8

Article Description

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.

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