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.
出处
《工程数学学报》
CSCD
北大核心
2006年第1期163-168,共6页
Chinese Journal of Engineering Mathematics
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
diagonally dominant matrix
generalized diagonally dominant matrix
diagonally minor matrix
irreducible matrix
M-matrix
