严格α-对角占优M-矩阵的逆矩阵无穷范数的界的估计

Estimation of Inverse Matrix of the Infinite Norm of Strict Diagonal Dominant Matrices

利用非奇异矩阵A与A-B的逆矩阵的关系式,在严格α-对角占优M-矩阵A的基础上,构造了严格对角占优M-矩阵B,并借助矩阵B的逆矩阵的无穷范数的上界,给出了矩阵A的逆矩阵A^(-1)的无穷范数‖A^(-1)‖_∞的单调递减的上界序列。数值例子说明所得结果的可行性和有效性。

By relation between the non singular matrix and of the inverse matrix, strict diagonal dominant matrix is constructed based on the strict diagonal dominant matrix. And with the help of the upper bound of the infinite norm of inverse matrix of , given the decreasing sequence of upper bound infinite norm of inverse matrix , numerical examples show the feasibility and validity of the results.