摘要
利用严格α-对角占优M-矩阵的元素性质,特殊矩阵级数的收敛性,矩阵范数的性质,矩阵分裂技巧以及严格对角占优M-矩阵逆的无穷范数上界,得到了严格α-对角占优M-矩阵A的||A-1||∞一个新的上界估计式。数值例子说明新估计式是可行的、有效的。
By using the properties of elements of strictly α-diagonally dominant M-matrices, the convergence of special matrix series, the properties of matrix norm, matrix splitting techniques, and the infinite norm upper bound for the inverse of strictly diagonally dominant M-matrices, a new upper bound estimation formula of ||A-1||∞ for strictly α-diagonally dominant M-matrices is obtained. Numerical examples show that the new estimation formula is feasible and effective.
出处
《理论数学》
2023年第6期1643-1651,共9页
Pure Mathematics
