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Results tagged with inequalities
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user 141956
for questions involving inequalities, upper and lower bounds.
4
votes
0
answers
166
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Sum of eigenvalues is nonpositive
Let $A$ be a symmetric positive semidefinite $n \times n$ matrix. How can I show that the sum of the largest $n-k+1$ eigenvalues of $A - k\cdot \textrm{diag}(A)$ is nonpositive, for any $k \in \{1, \d …
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