Add to ORKGThis note proves the following inequality: If n = 3k for some positive integer k, then for any n positive definite matrices A1, A2,…, An, the following inequality holds: (Formula Presented) where ‖ · ‖ represents the operator norm. This inequality is a special case of a recent conjecture proposed by Recht and Ré (2012)
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This note proves the following inequality: If $n=3k$ for some positive integer $k$, then for any $n$...
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AbstractGiven matrices of the same size, A = [aij] and B = [bij], we define their Hadamard product t...
AbstractWe point out a sharp reverse Cauchy-Schwarz/Hölder matrix inequality. The Cauchy-Schwarz ver...
This note proves the following inequality: If $n=3k$ for some positive integer $k$, then for any $n$...
For positive semi-definite n×n matrices, the inequality 4|||AB|||≤|||(A+B)<SUP>2</SUP>||| is s...
AbstractA sharper form of the arithmetic-geometric-mean inequality for a pair of positive definite m...
AbstractIdeas related to matrix versions of the arithmetic-geometric mean inequality are explained
AbstractRecently, Sagae and Tanabe defined a geometric mean of positive definite matrices and proved...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
AbstractWe integrate ten unitarily invariant matrix norm inequalities equivalent to the Heinz inequa...
Inequalities for norms of different versions of the geometric mean of two positive definite matrices...
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