摘要
本文提出了两类局部双α对角占优矩阵,给出了其为广义严格对角占优矩阵的几个充分条件,并用数值例子说明了所得结果的有效性。
Two kinds of locally α-diagonally dominant matrix are proposed and some sufficient conditions are obtained for judging their generalized strictly diagonally dominance. A numerical example is also given to illustrate the effectiveness of our results.
出处
《工程数学学报》
CSCD
北大核心
2005年第6期1075-1082,共8页
Chinese Journal of Engineering Mathematics
基金
湖南省自然科学基金(04JJ40005)湖南省教育厅重点项目(02A010).
关键词
广义对角占优矩阵
广义α对角占优矩阵
局部双α对角占优矩阵
不可约矩阵
generalized strictly diagonally dominant matrix
strictly α-diagonally dominant matrix
locally double α-diagonally dominant matrix
irreducibility matrix