【矩阵特徵值与奇异值不等式宝音特古斯】.pdf

【矩阵特徵值与奇异值不等式宝音特古斯】.pdf

矩阵特征值与奇异值不等式 宝音特古斯(北京师范大学数学系95级) 导师:王伯英教摘 要 本文主要过论了四个问题.A,B∈Cx,我们在2中给出3(A-B)<(A-BD)<(A+B),A2O,B≥0,(其中DC,0≤1)的合理部防的肯是的回答,并且 还讨这了相关的几个性债.在3、94中在>0下,给出3不等式,X(A)。(B)0,B20(AB)=A+(AB)=A+(A)A+(B),A=,B≥0(t=1,Someinequalitiesfortheeigenvalues andsingularvaluesofmatrices Abstract In this paper,we mainly discuss four problem: We obtain some singular values inequalities for matrices sum andminus.We get the necessary and sufficient conditions of several well- known inequalities for the eigenvalues an