Scholarlink

<p>This paper develops new parameterized error bounds for linear complementarity problems (LCPs) involving Nekrasov matrices and <i>B</i>-Nekrasov matrices. By utilizing the monotonicity properties of the parameter-dependent functions, we provide a complete characterization of the optimal values of these error bounds. Our analysis demonstrates that, under appropriate conditions, the proposed optimal bounds strictly improve those established by Dai et al. (Numer. Math. Theor. Meth. Appl., 12(4): 1191-1212, 2019). Supporting numerical experiments validate the theoretical results and highlight the efficacy of the new bounds.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Parameterized error bounds and their optimality for linear complementarity problems involving Nekrasov and B-Nekrasov matrices

  • 期刊论文

  • 发表日期：

    2025年10月13日

查看全文
  • Xia Jing,
  • Lei Gao

摘要

This paper develops new parameterized error bounds for linear complementarity problems (LCPs) involving Nekrasov matrices and B-Nekrasov matrices. By utilizing the monotonicity properties of the parameter-dependent functions, we provide a complete characterization of the optimal values of these error bounds. Our analysis demonstrates that, under appropriate conditions, the proposed optimal bounds strictly improve those established by Dai et al. (Numer. Math. Theor. Meth. Appl., 12(4): 1191-1212, 2019). Supporting numerical experiments validate the theoretical results and highlight the efficacy of the new bounds.