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<p>In this paper, we introduce a new class of <i>H</i>-matrices, called <i>S</i>-<i>QN</i>-type matrices, which is similar to but different from <i>S</i>-<i>QN</i> matrices. The relations among strictly diagonally dominant (<i>SDD</i>) matrices, Cvetković-Kostić-Varga type (CKV-type) matrices, <i>QN</i> matrices, <i>QN</i>-type matrices, <i>S</i>-<i>QN</i> matrices and <i>S</i>-<i>QN</i>-type matrices are discussed. Moreover, the infinity norm bounds for the inverse of <i>S</i>-<i>QN</i>-type matrices and error bounds of the linear complementarity problems for <i>S</i>-<i>QN</i>-type matrices are given, which improve some existing results. Numerical examples are given to verify the corresponding results.</p>

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Infinity norm bounds for the inverse of S-QN-type matrices with applications

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Jiabing Zhou,
  • Hanxue Zhu,
  • Feng Wang

摘要

In this paper, we introduce a new class of H-matrices, called S-QN-type matrices, which is similar to but different from S-QN matrices. The relations among strictly diagonally dominant (SDD) matrices, Cvetković-Kostić-Varga type (CKV-type) matrices, QN matrices, QN-type matrices, S-QN matrices and S-QN-type matrices are discussed. Moreover, the infinity norm bounds for the inverse of S-QN-type matrices and error bounds of the linear complementarity problems for S-QN-type matrices are given, which improve some existing results. Numerical examples are given to verify the corresponding results.