重庆工商大学学报：自然科学版
重慶工商大學學報：自然科學版
중경공상대학학보：자연과학판
Journal of Chongqing Technology and Business University:Natural Science Edition
2012年
4期
23-26
,共4页
特征值%实部%虚部%不等式%上界
特徵值%實部%虛部%不等式%上界
특정치%실부%허부%불등식%상계
eigenvalue%real part%imaginary part%inequality%upper bound
讨论了矩阵特征值及其实部虚部之间的不等式；得到了特征值与其实部、虚部，特征值实部与虚部之间的一些不等式；给出了特征值实部与虚部的上界的估计和判断矩阵非奇异性的方法．
討論瞭矩陣特徵值及其實部虛部之間的不等式；得到瞭特徵值與其實部、虛部，特徵值實部與虛部之間的一些不等式；給齣瞭特徵值實部與虛部的上界的估計和判斷矩陣非奇異性的方法．
토론료구진특정치급기실부허부지간적불등식；득도료특정치여기실부、허부，특정치실부여허부지간적일사불등식；급출료특정치실부여허부적상계적고계화판단구진비기이성적방법．
This paper discussed inequalities between matrix eigenvalue and its real part and imaginary part, obtained some inequalities between eigenvalues and their real parts and imaginary parts and between eigenvalues real parts and imaginary parts, and proposed the method for upper bound estimate for the real parts and imaginary parts of eigenvalues and the method for determining nonsingularity of matrices.
