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<p>In this paper, a new two-parameter iteration method is constructed for solving systems of absolute value equations which are frequently found in optimization problems. Convergence properties of the new method are analyzed in detail under suitable conditions, and the optimal parameter is discussed in a special case. Several numerical experiments are implemented and the results confirm the effectiveness of the new method.</p>

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A new two-parameter iteration method for solving absolute value equations

  • 期刊论文

  • 发表日期：

    2025年1月12日

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  • Xiao-Yong Xiao,
  • Miao Zhang

摘要

In this paper, a new two-parameter iteration method is constructed for solving systems of absolute value equations which are frequently found in optimization problems. Convergence properties of the new method are analyzed in detail under suitable conditions, and the optimal parameter is discussed in a special case. Several numerical experiments are implemented and the results confirm the effectiveness of the new method.