矩阵对角占优性的推广及应用

Generalization and Application on Diagonal Dominance of Matrices

通过引进局部α双对角占优矩阵的概念,给出广义严格对角占优矩阵的若干充要条件和充分条件,从而给出M矩阵的等价表征和判定条件,推广和改进了已有的相应结果,作为应用给出一个新矩阵的谱包含域.

The concept conditions are given for results are improved an eigenvalue. local α-bi-diagonal dominant matrix is introduced and some necessary and sufficient entifying generalized strict diagonal dominant matrix, thus the corresponding known generalized. As an application, we obtain a new distribution theorem about the