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弱链对角占优B-矩阵线性互补问题解的误差界估计 被引量:1

ERROR BOUND ESTIMATION OF THE SOLUTION FOR LINEAR COMPLEMENTARITY PROBLEMS OF WEAKLY CHAINED DIAGONALLY DOMINANT B-MATRICES
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摘要 通过利用弱链对角占优M-矩阵的逆矩阵的无穷大范数的范围,结合不等式的放缩技巧,给出弱链对角占优B-矩阵线性互补问题解的误差界新估计式.理论分析和数值算例均证明新的估计式改进了近期一些已有的结果. By using the infinite norm range of the inverse matrix of the weakly diagonally dominant M-matrix,combined with the expansion and contraction techniques of the inequality,a new error bound estimator for the linear complementarity problem of weakly diagonally dominant B-matrix is given.Both theoretical analysis arid numerical examples show that the new estimator improves some existing results.
作者 董瑛雪 莫宏敏 周翠玲 Dong Yingxue;Mo Hongmin;Zhou Cuiling(College of Mathematics and Statistics,Jishou University,Jishou 416000,China)
出处 《数值计算与计算机应用》 2022年第2期154-162,共9页 Journal on Numerical Methods and Computer Applications
基金 国家自然科学基金(11461027) 湖南省教育厅科研基金(16A173)资助.
关键词 弱链对角占优B-矩阵 线性互补问题 误差界 B-矩阵 Weakly chained diagonally dominant B-matrix Linear complementarity problem Error bounds B-matrices
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  • 1P. N. Shivakumar, J. J. Williams, Q. Ye, Corneliu A. Marinov. On two - sided bounds related to weakly diagonally dominant M - matrices with application to digital dynamics [ J ] Matrix Anal. Appl. 1996, 17 (2) : 298--312.
  • 2T. Z. Huang, Y. Zhu. Estimation of A-1∞ for weakly chained diagonally dominant M - matrices [ J ] Linear Algebra Appl. , 2009, 432 : 670--677.
  • 3潘淑珍,陈神灿.弱链对角占优矩阵‖A^(-1)‖_∞的上界估计[J].福州大学学报(自然科学版),2012,40(3):281-284. 被引量:12

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