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<p>A new subclass of <i>H</i>-matrices, called <i>SN</i>-scal matrices, is introduced. The relationship between <i>SN</i>-scal matrices and other subclasses of <i>H</i>-matrices are discussed, and an infinity norm bound of the inverse for <i>SN</i>-scal matrices is provided. We apply the new bound to obtain an alternative error bound for the linear complementarity problems (LCPs) of <i>SN</i>-scal matrices. Moreover, a lower bound for the smallest singular value is also presented. Theoretical analysis and numerical examples show the validity of new results.</p>

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Infinity norm bounds for the inverse of SN-scal matrices with applications

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Guixiang Sun,
  • Deshu Sun,
  • Yingxia Zhao

摘要

A new subclass of H-matrices, called SN-scal matrices, is introduced. The relationship between SN-scal matrices and other subclasses of H-matrices are discussed, and an infinity norm bound of the inverse for SN-scal matrices is provided. We apply the new bound to obtain an alternative error bound for the linear complementarity problems (LCPs) of SN-scal matrices. Moreover, a lower bound for the smallest singular value is also presented. Theoretical analysis and numerical examples show the validity of new results.