块H-矩阵的刻画

基金项目:

四川省跨世纪杰出青年科技学术带头人基金资助项目,编号:JSA1081

详细信息

Equivalent Conditions of Block H-Matrices

摘要: 根据块对角占优、块严格对角占优和不可约对角占优矩阵的概念,针对α连对角占优矩阵,应用分块技术,给出和引进了块弱不可约α严格对角占优矩阵的概念,并在此基础上给出了简捷的块H-矩阵的充要条件和充分条件的刻画,推广和包含了已有的相应结果。
- 矩阵 /
- 块对角占优 /
- α连对角占优 /
- 不可约 /
- 方向图
Abstract: Based on the block diagonally dominant matrices, block strictly diagonally dominant matrices and irreducible diagonally dominant matrix, by the block α-connective diagonally dominant, the irreducibly block diagonal dominance is introduced and the block method are applied, and new simple equivalent conditions of the block H-matrices are obtained, which generalizes and includes the corresponding results of the matrices.
- matrix /
- block diagonally dominant matrix /
- α-connective matrix /
- irreducibility /
- directed graph