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Multidimensional inequality comparisons: On aggravation and mitigation of inequalities

✍ Scribed by Piet Rietveld

Book ID
116100914
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
368 KB
Volume
32
Category
Article
ISSN
0165-1765

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Let A and B be n-by-n Hermitian matrices. Then Tr e A e B S(Ξ±)Tr e A+B where Ξ± is the condition number of e A and S(t) is the Specht ratio of the reverse arithmetic-geometric mean inequality. It is a sharp reverse result to the Golden-Thompson inequality. This can be extended to each eigenvalue. Eq