科研之友
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摘要
Let A, B, C be n x n positive semidefinite matrices. It is known that which includes det(A + B + C) + det C %26gt;= det(A + C) + det(B+ C), %26lt;br%26gt;which includes %26lt;br%26gt;det (A + B) %26gt;= det A + det B %26lt;br%26gt;as a special case. In this article, a relation between these two inequalities is proved, namely, det(A + B + C) + det C - (det(A + C) + det(B + C)) %26gt;= det(A + B) - (det A + det B).
- 出版日期2014-12
