S-Sparse Ostrowski-Brauer矩阵线性互补问题的误差界及其应用OA
An Error Bound for Linear Complementarity Problems of S-Sparse Ostrowski-Brauer Matrices and Its Applications
本文研究S-Sparse Ostrowski-Brauer(S-SOB)矩阵线性互补问题误差界的估计问题.利用矩阵不等式放缩技术及S-SOB矩阵逆矩阵无穷大范数,获得S-SOB矩阵线性互补问题的误差界,该界仅依赖于S-SOB矩阵的元素.在此基础上,给出S-SOB-B矩阵线性互补问题的误差界,并从理论上证明所给误差界在一定条件下优于García-Esnaola等(2009)和LIU等(2021)所给的结果.最后,通过数值算例进一步阐明了结果的有效性.
In this paper,using inequality scaling techniques and an upper bound on the infinity norm of the inverse of S-Sparse Ostrowski-Brauer(or,for short,S-SOB)matrices,an error bound for the linear complementarity problem(LCP)of S-SOB matrices is presented,which depends only on the entries of the involved matrices.Based on this result,we also give an error bound for the LCP of S-SOB-B matrices.In some cases,the proposed bounds are proved to be better than those of…查看全部>>
刘毅;高磊
宝鸡文理学院数学与信息科学学院,陕西 宝鸡721013江西工程学院公共课教学部,江西 新余338000
数理科学
线性互补问题误差界S-SOB矩阵S-SOB-B矩阵
Linear complementarity problemError boundS-SOB matrixS-SOB-B matrix
《应用数学》 2023 (1)
非对称合作系统中集体性奖惩机制的研究
1-15,15
Supported by the National Natural Science Foundation of China(31600299),the Youth Science and Technology Nova Program of Shaanxi Province,China(2022KJXX-01),and the Scientific Research Program Funded by Yunnan Provincial Education Department,China(2022J0949)
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