摘要
进一步讨论了迹占优矩阵的性质.先讨论了迹占优矩阵和亚正定矩阵之间的关系,然后给出了迹占优矩阵行列式的一个估计,最后证明了如果系数矩阵为迹占优矩阵,Jacobi迭代法是收敛的.
The purpose of this paper is to discuss some properties of the trace dominant matrices.The relationship between trace dominant matrices and sub-positive definite matrices is firstly discussed.After that an inequality for the determinant of trace dominant matrices is presented.It is proven that the Jacobi iterative is convergent if the coefficient matrix is a trace dominant matrix.
出处
《昆明理工大学学报（理工版）》
北大核心
2010年第5期122-124,共3页
Journal of Kunming University of Science and Technology(Natural Science Edition)
基金
重庆市教委科技计划资助项目(项目编号:KJ101108)
重庆三峡学院科学研究重点项目(项目编号:10ZD-16)
关键词
迹占优矩阵
亚正定矩阵
行列式
JACOBI迭代法
trace dominant matrix
sub-positive definite matrix
determinant
Jacobi iterative method
