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<p>The main objective of this paper is to propose a new modified fixed point iterative method for solving tensor absolute value equation (TAVE). We first review some existing methods for solving TAVE and point out their limitations. Then, we construct a new modified fixed point iterative scheme to solve TAVE and analyze the convergence of the method under appropriate conditions. Finally, four numerical examples are given to illustrate that the proposed method is feasible and effective.</p>

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A new modified fixed point iterative method for solving tensor absolute value equation

  • 期刊论文

  • 发表日期：

    2025年7月7日

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  • Rui Mei,
  • Panpan Liu,
  • Suhua Li

摘要

The main objective of this paper is to propose a new modified fixed point iterative method for solving tensor absolute value equation (TAVE). We first review some existing methods for solving TAVE and point out their limitations. Then, we construct a new modified fixed point iterative scheme to solve TAVE and analyze the convergence of the method under appropriate conditions. Finally, four numerical examples are given to illustrate that the proposed method is feasible and effective.