| 弱链对角占优B-矩阵线性互补问题的误差界新估计 |
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| 引用本文： | 徐玉梅,王峰.弱链对角占优B-矩阵线性互补问题的误差界新估计[J].西南师范大学学报(自然科学版),2019,44(2):18-24. |
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| 作者姓名： | 徐玉梅 王峰 |
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| 作者单位： | 贵州民族大学数据科学与信息工程学院 |
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| 基金项目： | 国家自然科学基金项目（11601473）；贵州省科学技术基金项目（20181079）；贵州省教育厅自然科学基金项目（2015420）. |
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| 摘 要： | 利用弱链对角占优M-矩阵的逆矩阵的无穷大范数的范围,结合不等式放缩技术,给出了弱链对角占优B-矩阵线性互补问题误差界新的估计式,进而给出B-矩阵线性互补问题误差界的估计式.新估计式改进了已有文献的结果.
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| 关 键 词： | 线性互补问题 误差界 弱链对角占优B-矩阵 B-矩阵 |
| 收稿时间： | 2018/3/5 0:00:00 |
New Error Bounds for Linear Complementarity Problems of Weakly Chained Diagonally Dominant Matrices |
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| XU Yu-mei,WANG Feng.New Error Bounds for Linear Complementarity Problems of Weakly Chained Diagonally Dominant Matrices[J].Journal of Southwest China Normal University(Natural Science),2019,44(2):18-24. |
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| Authors: | XU Yu-mei WANG Feng |
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| Institution: | College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China |
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| Abstract: | With the range for the infinity norm of inverse matrix of a weakly chained diagonally dominant M-matrix and combining some techniques of inequalities, some new error bounds for the linear complementarity problem are obtained when the involved matrix is a weakly chained diagonally dominant B-matrix. Theory analysis and numerical examples show that these bounds improve existed results. |
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| Keywords: | linear complementarity problems error bounds weakly chained diagonally dominant B-matrices B-matrices |
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