摘要
利用矩阵分裂方法和已有严格对角占优M-矩阵的逆的无穷大范数估计式,给出严格α-对角占优M-矩阵A的‖A^(-1)‖_∞的单调不增上界序列,并通过数值算例验证了所得结果.数值结果表明,所给方法可行,且比某些已有结果更精确.
Using matrix splitting method and some existing infinity norm estimates of the inverse of strictly diagonally dominant M-matrices, we gave a monotone non-increasing sequence for the upper bounds of ‖A^（-1）‖∞ of a strictly a-diagonally dominant M-matrix A. The obtained results were verified by several numerical examples. Numerical results show that the method is feasible and more accurate than some existing resultS.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2016年第4期720-724,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11361074
11501141)
贵州省科学技术基金(批准号:黔科合J字[2015]2073号)
贵州民族大学引进人才科研项目基金(批准号:15XRY003)
贵州民族大学科研项目基金(批准号:15XJS009)
关键词
对角占优
M-矩阵
逆
上界
序列
diagonally dominant
M-matrix
inverse
upper bound
sequence
