On the Fan and Lidskii majorisations of positive semidefinite matrices
نویسندگان
چکیده
منابع مشابه
On the Fan and Lidskii Majorisations of Positive Semidefinite Matrices
Let A,B be two positive definite matrices. The Fan-Lidskii majorisations can be subsumed as the symmetric norm rearrangement inequalities ‖A↓ +B↑‖ ‖A+B‖ ‖A↓ +B↓‖ where the up/down arrows on A,B mean the diagonal matrices with the same eigenvalues in decreasing/increasing order down to the diagonal. We refine these relations with sums of type A +UBU∗ and A +VBV∗ for two unitary matrices U,V asso...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2015
ISSN: 1331-4343
DOI: 10.7153/mia-18-42