块α-对角占优矩阵的等价表征及应用  

Equivalent Representations of Block α-Diagonally Dominant Matrices and Its Applications

作　　者：李敏[1] 孙玉祥[1] 

机构地区：[1]北华大学数学学院

出　　处：《北华大学学报（自然科学版）》2008年第6期485-489,共5页Journal of Beihua University（Natural Science）

摘　　要：应用矩阵对角占优理论,讨论了分块矩阵的对角占优问题.给出了块严格α-对角占优矩阵的等价表征,并得到块H-矩阵的实用判据,作为应用得到非奇异矩阵和正稳定矩阵的判定方法.Applying the theorem of diagonally dominant matrices, the block diagonally dominant matrices is discussed. The equivalent representations of block α-diagonally dominant matrices are given. From this condition, criteria for block H-matrices, nonsingular and positive stability of matrices are given.

关 键 词：块α-对角占优矩阵 块H-矩阵 非奇异矩阵 正稳定矩阵 

分 类 号：O151.21[理学—数学]