摘要
利用矩阵的连续过渡、子矩阵的谱半径估计等方法,研究了正定条件下的广义H-矩阵的判别法.给出了判定正定条件下广义H-矩阵的几个充分条件,当块矩阵退化为点矩阵时,这些条件即为非奇异H-矩阵的充分条件.
By using a matrix＇ continuous transition method and the sub-matrix＇ estimate of spectral radius methods etc., some decision methods for a generalized H-matrix under positive definite matrix conditions were researched. Some new sufficient conditions for generalized H-matrices are obtained. When a block matrix degenerates a point matrix, these conditions then become H-matrix＇s sufficient conditions.
出处
《应用数学和力学》
CSCD
北大核心
2007年第11期1333-1339,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10671164)
湖南省科学工程计算与数值仿真重点实验室资助项目
关键词
H-矩阵
广义H-矩阵
谱半径
H-matrix
generalized H-matrix
spectral radius
