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<p>Nonsingular <i>H</i>-matrices play an important role in economic mathematics and cybernetics. In this paper, by using the scaling technique for inequalities and constructing a positive diagonal matrix, some new criteria for nonsingular <i>H</i>-matrices are derived. Additionally, a necessary condition for identifying nonsingular <i>H</i>-matrices is presented. Finally, some numerical examples are provided to illustrate the validity of our results.</p>

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Some New Criteria for Identifying H-Matrices

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Yan Li,
  • Dekun Wen,
  • Min Hui,
  • Yaqiang Wang

摘要

Nonsingular H-matrices play an important role in economic mathematics and cybernetics. In this paper, by using the scaling technique for inequalities and constructing a positive diagonal matrix, some new criteria for nonsingular H-matrices are derived. Additionally, a necessary condition for identifying nonsingular H-matrices is presented. Finally, some numerical examples are provided to illustrate the validity of our results.