摘要
在块对角占优矩阵和块广义对角占优矩阵定义的基础上,利用矩阵分块技术,对矩阵元素进行比较,给出判定块广义对角占优矩阵的充分条件,并利用此结论给出判定矩阵是否可逆的充分条件.
Based on the concepts of block diagonally dominant matrix and block generalized diagonally dominant matrix,a new simple criterion for nonsingular block generalize diagonal dominant matrix is obtained.As an application,the sufficient conditions of inverse matrix are given.
出处
《吉林化工学院学报》
CAS
2010年第2期84-87,共4页
Journal of Jilin Institute of Chemical Technology
关键词
块广义对角占优矩阵
矩阵范数
可逆矩阵
block generalized diagonally dominant matrix
matrix norm
inverse matrix
