两个新的矩阵特征值包含区域  

Two New Eigenvalue Inclusion Regions for Matrices

作　　者：赵瑞娟[1] 李耀堂[1] 

机构地区：[1]云南大学数学与统计学院,云南昆明650091

出　　处：《昆明学院学报》2012年第6期1-4,共4页Journal of Kunming University

基　　金：国家自然科学基金资助项目(10961027)

摘　　要：引入广义α-对角占优矩阵和广义双α-对角占优矩阵概念,给出判定它们的充分必要条件,并由此获得了矩阵特征值的两个新包含区域,证明新的特征值包含区域包含于最近几个文献所给的特征值包含区域,因而能更精确地确定矩阵特征值的位置.The definitions of generalized a - diagonally dominant matrices and generalized doubly a - diagonally dominant matrices are presented, and sufficient and necessary conditions for judging them arc obtained. By using the conditions, two new eigenvalue inclusion regions are given, and proved to be tighter than the corresponding eigenvalue inclusion regions in several recently papers, therefore, they can be used to determine the location of eigenvalue more accurately.

关 键 词：矩阵特征值 包含区域 广义α-对角占优矩阵 广义双α-对角占优矩阵 

分 类 号：O151.21[理学—数学]