对称部分对角占优阵与广义严格对角占优矩阵的判定

Criteria For Symmetrical Component Diagonally Dominant Matrices and Generalized Strictly Diagonally Dominant Matrices

本文利用对称部分对角占优矩阵的性质,构造正对角矩阵,利用放缩不等式等技巧获得了广义对角占优矩阵的若干充分条件,改进了已取得的一些结果.

In this paper, by using the property of symmetrical component diagonally dominant matrix, we construct a positive diagonally matrix. And, by using enlargement and reduce of the inequality, we obtain some sufficient conditions of generalized strictly diagonally dominant matrix. These results improved the known results.