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Dashnic-Zusmanovich矩阵线性互补问题误差界的估计 被引量:4

Error Bounds for Linear Complementarity Problems of Dashnic-Zusmanovich Matrix
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摘要 研究P-矩阵的新子类Dashnic-Zusmanovich矩阵线性互补问题的误差界.利用Dashnic-Zusmanovich矩阵M和M=I-D+DM的性质、不等式的性质,以及M矩阵的逆矩阵无穷范数上界的估计式,得到了矩阵M的线性互补误差界的估计式. The error bounds have been researched for linear complementarity problems of Dashnic-Zusmanovich matrix of the new subclasses of P-matrix,Using the properties of matrices M and M=I-D+DM,the properties of inequalities,and the estimators of the upper bound of infinite norm for the inverse matrix of M matrix,the estimation of the error bounds of the matrix has been obtained.
作者 李艳艳 周平 LI Yan-yan;ZHOU Ping(School of Mathematics,Wenshan University,Wenshan,Yunnan 663099,China)
出处 《西南师范大学学报(自然科学版)》 CAS 北大核心 2019年第6期10-13,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 云南省教育厅科学研究基金项目(2018JS491,2019J0910) 文山学院科学研究基金项目(2018Y04)
关键词 Dashnic-Zusmanovich矩阵 线性互补 P-矩阵 误差界 Dashnic-Zusmanovich matrix linear complementarity P-matrix error bounds
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