<p>In this paper, the extended vertical tensor complementarity problem (EVTCP) is reformulated as an absolute value equation. Immediately after that, a kind of modulus-based tensor splitting iterative methods is proposed. The convergence of the proposed method under the proper conditions is discussed in combination with the properties of the power Lipschitz tensor. Finally, the numerical experimental results illustrate the effectiveness of the proposed method.</p>

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A Kind of Modulus-Based Tensor Splitting Methods for the Extended Vertical Tensor Complementarity Problem

  • Shi-Liang Wu,
  • Xue-Fan Zhao,
  • Cui-Xia Li

摘要

In this paper, the extended vertical tensor complementarity problem (EVTCP) is reformulated as an absolute value equation. Immediately after that, a kind of modulus-based tensor splitting iterative methods is proposed. The convergence of the proposed method under the proper conditions is discussed in combination with the properties of the power Lipschitz tensor. Finally, the numerical experimental results illustrate the effectiveness of the proposed method.