S-SDD矩阵和S-SDD-B矩阵的扩展垂直线性互补问题解的误差估计  

Error Estimation of the Extended Vertical Linear Complementarity Problems of S-SDD Matrix and S-SDD-B Matrix

作　　者：李艳艳[1] Li Yanyan(Wenshan University)

机构地区：[1]文山学院

出　　处：《哈尔滨师范大学自然科学学报》2024年第6期9-17,共9页Natural Science Journal of Harbin Normal University

摘　　要：研究S-SDD矩阵和S-SDD-B矩阵扩展垂直线性互补问题解的误差界,首先证明若块矩阵M=(M_(0),M_(1),…,M_(k))的任意子块M_(l)(l=0,1,…,k)是S-SDD矩阵或S-SDD-B矩阵,则行重排矩阵的每一子块也是S-SDD矩阵或S-SDD-B矩阵,且块矩阵M具有行W-性质;其次得到了这2类矩阵扩展垂直线性互补问题的误差界,同时用数值算例验证了误差界的有效性.The error bound of the solution of the extended vertical linear complementarity problem of SSDD matrix and S-SDD-B matrix is studied in this paper.First,it is proved that if any sub-block M_(l)(l=0,1,…,k)of block matrix M=(M_(0),M_(1),…,M_(k))is S-SDD matrix or S-SDD-B matrix,then each sub-block of the row rearrangement matrix is also S-SDD matrix or S-SDD-B matrix,and block matrix M has Wproperty.Secondly,the error bound of these two kinds of matrix extended vertical linear complementarity problems is obtained,and the validity of the error bound is verified by numerical examples.

关 键 词：S-SDD矩阵 S-SDD-B矩阵 扩展垂直线性互补问题 

分 类 号：O151.21[理学—数学]