块α-对角占优矩阵的讨论  

Discussion for block α-diagonally dominant matrices

作　　者：高会双[1] 韩贵春[1] 肖丽霞[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《纯粹数学与应用数学》2014年第1期53-59,共7页Pure and Applied Mathematics

基　　金：内蒙古民族大学科学研究基金(NMD1226)

摘　　要：应用矩阵块对角占优理论,讨论了块α-对角占优矩阵之间的蕴含关系,并得到了条件最弱的块严格α1-双对角占优的两个等价表征,并作为应用给出了块H矩阵新的判定准则,最后用数值例子说明结果的有效性.Applying the theorem of block diagonally dominant matrices, we discuss the relations between blockα-diagonally dominant matrices. We give two equivalence representations for strictly double blockα1-diagonally dominant matrices. As its application, we obtain some criteria for block H-matrices. In the end, the efficiency of the proposed criteria is showed by a numerical example.

关 键 词：块对角占优 块α-对角占优矩阵 块H矩阵 

分 类 号：O151.21[理学—数学]