广义对角占优矩阵的迭代判定法  

An Iterative Criterion for Generalized Diagonally Dominant Matrices

作　　者：苏岐芳[1] 

机构地区：[1]台州学院数学系,临海317000

出　　处：《工程数学学报》2006年第1期163-168,共6页Chinese Journal of Engineering Mathematics

摘　　要：证明了矩阵不是广义对角占优矩阵的充要条件,并给出了判定矩阵不是广义对角占优矩阵或不是M-矩阵的迭代算法,从而使得对广义对角占优矩阵和M-矩阵的判定问题在实际应用中更加简捷而有效。We prove a sufficient and necessary condition for matrices which are not generalized diagonally dominant matrices. Moreover, an iterative algorithm for matrices which are not generalized diagonally dominant matrices or not M-matrices is given, which makes the criteria for generalized diagonally dominant matrices and M-matrices more simple and effective in practice.

关 键 词：对角占优矩阵 广义对角占优矩阵 对角占劣矩阵 不可约矩阵 M-矩阵 

分 类 号：O151.21[理学—数学]