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A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation

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  • Yuhan Chen

    (School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China
    School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China)

  • Chenliang Li

    (School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China)

Abstract

In this paper, a tensor splitting AOR iterative method for solving the H + -tensor absolute value equation is presented. Some sufficient conditions for the existence of the solution to the tensor absolute value equation are given. Under suitable conditions, the new method is proved to be convergent. Finally, some numerical examples demonstrate that our new method is effective.

Suggested Citation

  • Yuhan Chen & Chenliang Li, 2022. "A Tensor Splitting AOR Iterative Method for Solving a Tensor Absolute Value Equation," Mathematics, MDPI, vol. 10(7), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1023-:d:777315
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    References listed on IDEAS

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    1. Xue-Li Bai & Zheng-Hai Huang & Yong Wang, 2016. "Global Uniqueness and Solvability for Tensor Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 72-84, July.
    2. Singh, Ajeet & Shukla, Anurag & Vijayakumar, V. & Udhayakumar, R., 2021. "Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Maolin Che & Liqun Qi & Yimin Wei, 2016. "Positive-Definite Tensors to Nonlinear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 475-487, February.
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