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获得矩阵乘积的特征值与奇异值的不等式. (1)设A、B为非负定Hermite阵,1≤i1＜…＜ik≤l≤n,则∏kt=1λl-it+1(AB)≥∏kt=1λl-t+1(A)λn-it+1(B);∏kt=1λn-l+it(AB)≤∏kt=1λn-l+t(A)λit(B). (2)设A、B∈Cn×n,1≤i1<…<ik≤l≤n,则∏kt=1σl-it+1(AB)≥∏kt=1σl-t+1(A)σn-it+1(B);∏kt=1σn-l+it(AB)≤∏kt=1σn-l+t(A)σit(B).