最终严格对角占优矩阵逆矩阵无穷范数上界的进一步研究

The Upper Bounds of the Infinite Norm of the Inverse Matrix for the Eventually Strictly Diagonally Dominant Matrices

研究矩阵条件数计算中,最终严格对角占优矩阵A的逆矩阵A^(-1)无穷范数‖A^(-1)‖_∞的上界估计问题,利用Nekrasov矩阵逆矩阵无穷范数已有的带有参数的几个估计式,在矩阵A的定义式的基础上,得到了‖A^(-1)‖_∞的一些新结果.

This paper studies the estimation of the infinite norm ‖A-1‖∞ of the inverse matrix A-1 of the eventually strictly diagonally dominant matrix A in the calculation of the number of matrix conditions. Using several estimators with parameters with infinite norm of the inverse matrix of Nekrasov matrix,we obtain some new results ‖A-1‖∞ on the basis of the definition of a matrix.