矩阵特征值不等式

Inequalities of Matrix Eigenvalues

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。

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.