陈灵.矩阵指数的偏迹不等式[J].数学研究及应用,1992,12(1):80~82
矩阵指数的偏迹不等式
Inequalities for the Partial Trace of Matrix Exponential
投稿时间:1990-01-10  
DOI:10.3770/j.issn:1000-341X.1992.01.012
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陈灵 暨南大学数学系 
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英文摘要:
      In this paper it is shown that if C is an n×n complex matrix and C(k) is the k-th compound of C, 1≤k≤n, N = (n k) and if the eigenvalues of C(k) are labeled inorder of decreasing magnitude |λ1(C(k))|≥λ2(C(k))|≥…≥λN(C(k))|define the partial trace tri(k)(C) by (?) Then for two n×n Hermrtian matrices A, B,with equality holds if A, B are commutative or k = n.
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