摘要
应用不可约矩阵的特性研究非奇H矩阵,得到了不可约矩阵是非奇H矩阵的实用判据。利用具非零元素链矩阵的性质得到其为非奇H矩阵的实用判据。所得结果不要求矩阵的对角占优条件,适用范围广,可作为非奇H矩阵的实用充分条件。
In this paper, we first apply properties of irreducible matrices to study nonsingular H-matrices, then conditions for irreducible matrices to be nonsingular H-matrices are obtained. Applying the properties of non-zero elements chain matrices, conditions for them to be nonsingular H-matrices are also obtained. Results obtained do not require that matrices should be diagonal dominant, and are applicable to more matrices. These results are sufficient conditions of nonsingular H-matrices.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2004年第1期102-104,共3页
Journal of University of Electronic Science and Technology of China
基金
四川省跨世纪杰出青年科技学术带头人基金资助项目(JSA1081)
关键词
不可约
非零元素链
对角占优
非奇H矩阵
irreducibility
non-zero elements chain
diagonal dominance
nonsingular H-matrix
