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<p>In this paper, a two-parameter magnitude method (T-Mag) is proposed for solving real preconditioned interval systems of linear equations. By introducing two parameters, the proposed method generalizes the magnitude (Mag) method by Hladík (SIAM J. Numer. Anal. <b>52</b>, 194–206, 2014) and produces a tighter enclosure. We establish the theoretical foundation and rigorously prove the key properties of the proposed method. Finally, some numerical examples are employed to verify the effectiveness of the proposed method.</p>

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Two-parameter magnitude method for solving real preconditioned interval linear equations

  • 期刊论文

  • 发表日期：

    2025年11月17日

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  • Yan Zhu,
  • Lingjian Pu,
  • Shiliang Wu

摘要

In this paper, a two-parameter magnitude method (T-Mag) is proposed for solving real preconditioned interval systems of linear equations. By introducing two parameters, the proposed method generalizes the magnitude (Mag) method by Hladík (SIAM J. Numer. Anal. 52, 194–206, 2014) and produces a tighter enclosure. We establish the theoretical foundation and rigorously prove the key properties of the proposed method. Finally, some numerical examples are employed to verify the effectiveness of the proposed method.