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| S-QN矩阵和B-S-QN矩阵线性互补问题解的误差界估计 |
| Error bound estimation for linear complementarity problems of S-QN matrices and B-S-QN matrices |
| 投稿时间：2025-01-15 修订日期：2025-02-13 |
| DOI： |
| 中文关键词: S-QN矩阵 B-S-QN矩阵 无穷大范数 线性互补问题 误差界 |
| 英文关键词: S-QN matrix B-S-QN matrix infinity norm linear complementarity problem error bound |
| 基金项目: |
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| 摘要点击次数: 28 |
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| 中文摘要: |
| 给出了 S-QN 矩阵逆的无穷大范数新的上界及其线性互补问题解的新误差界，改进了近期一些已有的结果。结合所得新上界以及不等式放缩技巧，获得了B-S-QN矩阵线性互补问题解的误差界。数值算例表明了新估计式提高了估计的精度。 |
| 英文摘要: |
| In this paper, we present an infinity norm upper bound for the inverse of S-QN matrices, as well as new error bound estimator for the linear complementarity problems of S-QN matrices, which improve the existing results. Based on the expansion and contraction techniques of the inequality, error bound of the linear complementarity problems involving B-S-QN matrices is presented. Numerical examples show the validity of the proposed results. |
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