广义对角占优矩阵的实用新判定  

New criteria for generalized diagonally dominant matrices

作　　者：许洁[1] 赵微[2] 孙玉祥[3] 

机构地区：[1]吉林化工学院理学院,吉林吉林132022 [2]大庆师范学院数学科学学院,黑龙江大庆163712 [3]北华大学数学学院,吉林吉林132000

出　　处：《云南大学学报（自然科学版）》2014年第5期637-641,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：黑龙江省教育厅科技项目(12513002)

摘　　要：根据广义对角占优矩阵实用判定中存在的困难,通过对矩阵行标进行划分,利用矩阵自身元素间的关系,得到一组判定条件,避免了利用α对角占优矩阵给出判定条件此类方法中关于α的讨论,改进了相关结果,进一步丰富了广义对角占优矩阵判定的理论,最后通过数值例子验证结果的有效性.In order to overcome the difficult of some methods for generalized diagonally dominant matrices in practice, a new set of practical discriminating method is present by the partition of the row indices. The proposed methods determined the matrix directly make use of the relationship between the matrix elements, which avoided the discussion ofin some similar reference. Finally, a numerical example is given to demonstrate the utility of the given methods.

关 键 词：对角占优 广义对角占优 α对角占优 

分 类 号：O151.21[理学—数学]