矩阵的k-path覆盖对角占优性与应用  

k-path cover diagonal dominance of matrices and its applications

作　　者：林彤[1] 杜宇辉[2] 术洪亮[3] 

机构地区：[1]东北电力大学理学院,吉林吉林132012 [2]北华大学数学学院,吉林吉林132033 [3]吉林大学数学学院,吉林长春130012

出　　处：《东北师大学报（自然科学版）》2008年第4期1-6,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省科技发展计划项目(20060119)

摘　　要：引进了k-path覆盖对角占优矩阵,研究了它的性质,给出了广义对角占优矩阵的新表征,推广、改进、修正了一些关于广义严格对角占优矩阵判定的已有结果.Were introduced the concept of k-path cover diagonal dominant matrix, and investigated its properties, gave the new equivalent conditions for generalized strict diagonal dominant matrix. These results were the generalization, improvement and revision on the existing results about the criteria for generalized strict diagonal dominant matrix.

关 键 词：κ-path覆盖对角占优矩阵 广义严格对角占优矩阵 M-矩阵 

分 类 号：O151.21[理学—数学]