摘要
P-矩阵在科学工程计算中发挥着重要作用.基于Ostrowski-Brauer Sparse(OBS)矩阵的定义,引入一类新的P-矩阵子类——Ostrowski-Brauer Sparse B(OBS-B)矩阵,该矩阵类包含B-矩阵和DB-矩阵.进一步,利用OBS矩阵逆的无穷大范数估计式,给出了OBS-B矩阵线性互补问题的误差界,并证明了在一定条件下所给误差界优于García-Esnaola和Peña给出的经典误差界.最后,通过数值算例对所得结果进行了说明.
P-matrices play a critical role in scientific engineering calculations.Based on Ostrowski-Brauer Sparse(OBS)matrices,a new subclass of P-matrices called Ostrowski-Brauer Sparse B(OBS-B)matrices is introduced,which contains B-matrices and DB-matrices.Moreover,using the infinity norm bound of the inverse of OBS matrices,a computable error bound for the linear complementarity problem of OBS-B matrices is given.And it is shown that the given bound improves the classical bound provided for B-matrices by García-Esnaola and Peña in some cases.Finally,numerical examples are reported to illustrate the effectiveness of the obtained bound.
作者
刘毅
井霞
高磊
LIU Yi;JING Xia;GAO Lei(School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2021年第2期205-213,共9页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(31600299)
陕西省自然科学基础研究计划(2020JM-622)
云南省教育厅科学研究基金(2019J0910).
关键词
OBS-B矩阵
P-矩阵
线性互补
误差界
OBS-B matrices
P-matrices
linear complementarity problem
error bounds
