摘要
目的给出判断一个矩阵为H矩阵的充分条件。方法采用逻辑推理的方法进行了证明。结果得到了当所给矩阵满足定理条件时,判断其为H矩阵的条件。结论此结果对于控制系统的稳定性、特征值分布、线性方程组迭代解等方面都具有一定的理论意义。
Aim To find out the condition for judging an irreducible matrix or a matrix with non- zero element chain to be an H-matrix. Methods It is proved with logical inference method. Results The condition for judging an irreducible matrix or a matrix with nonzero element chain to be an H- matrix is derived. Conclusion The result is significant in many fields, such as the stability of control system, the distribution of characteristic value and the iterative solutions of the systems of linear e- quations
出处
《宝鸡文理学院学报（自然科学版）》
CAS
2012年第1期32-35,共4页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
国家自然科学基金资助项目(10071048)
宝鸡文理学院重点项目(ZK09123)
关键词
非奇异H矩阵
对角占优
严格对角占优
nonsingular H-matrix
diagonal dominance
strictly diagonally dominant
