严格α-对角占优M-矩阵A的‖A^(-1)‖_∞的上界估计

An Upper Bound of ‖A^(-1)‖_∞ for Strictly α- Diagonally Dominant M-matrices

针对逆矩阵的无穷范数的上界估计问题,利用严格对角占优M-矩阵逆的无穷范数的上界,给出了严格α-对角占优M-矩阵A的||A^(-1)||_∞的单调递减的上界序列,理论证明及数值分析均表明所得估计改进了某些现有结果.

A sequence of the upper bound of ｜｜ A^（-1）｜｜_∞ for a strictly α-diagonally dominant M-matrix A is given by using the upper of the infinity norm of the inverse of a strictly diagonally dominant M-matrix.It is proved that the sequence is monotone decreasing with a lower bound ｜｜A^（-1）｜｜oo and,consequently,the sequence is convergent.The result in this paper improve some existing results.