方阵特征值及其实部、虚部之间的不等式

Inequalities between the eigenvalues of matrices andits real parts as well as its imaginary parts

研究方阵的特征值及其实部、虚部之间的不等式，给出了特征值与其实部、特征值与其虚部、特征值的实部与虚部之间的一些基本不等式，并导出了特征值、特征值的实部、特征值的虚部的一些新的上、下界．

his paper studies the inequalities between the eigenvalues of matricesand its real parts as well as its imaginary parts,and gives also the basicinequalities on the real parts and the imaginary parts of the eigenvalues.A number of new upper bounds and lower bounds for the eigenvalues and its real partsas well as its imaginary partS are deduced.