严格对角占优M-矩阵A的‖A^(-1)‖_∞的上界估计  

Estimation of the Upper Bound on ‖A^(-1)‖_∞ for Strictly Diagonally Dominant M-matrix A

作　　者：赵建兴[1] 桑彩丽 

机构地区：[1]贵州民族大学理学院,贵州贵阳550025

出　　处：《数学的实践与认识》2015年第16期284-289,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361074)

摘　　要：针对严格对角占优M-矩阵A的‖A^(-1)‖_∞。的估计问题,利用逆矩阵元素的上界,给出了‖A^(-1)‖_∞的单调递减的上界序列,理论证明及数值算例均表明所得估计改进了某些现有结果.A estimation sequence of the upper bounds for ‖A^（-1）‖_∞ of a strictly diagonally dominant M-matrix A is given.It is proved that the sequence is monotone decreasing with a lower bound ‖A^（-1）‖_∞,consequently,the sequence is convergent.The result in this paper improve some existing results.

关 键 词：严格对角占优 M-矩阵 范数 上界 序列 

分 类 号：O241.6[理学—计算数学]