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<p>In this study, we examine the two-step technique for solving absolute value equations. In this approach, we utilize the generalized Newton approach as a predictor step. The Weddle’s formula is used as a corrector step. Furthermore, we demonstrate the convergence analysis of the suggested technique using different theorems under certain assumptions. Numerical experiments are used to demonstrate the effectiveness and feasibility of the suggested approach. Finally, we show the conclusion of the proposed technique.</p>

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A new iterative method based on Weddle’s rule for solving absolute value equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月14日

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  • Nisar Gul,
  • Loredana Ciurdariu,
  • Siyar Gul,
  • Imad Khan

摘要

In this study, we examine the two-step technique for solving absolute value equations. In this approach, we utilize the generalized Newton approach as a predictor step. The Weddle’s formula is used as a corrector step. Furthermore, we demonstrate the convergence analysis of the suggested technique using different theorems under certain assumptions. Numerical experiments are used to demonstrate the effectiveness and feasibility of the suggested approach. Finally, we show the conclusion of the proposed technique.