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Some matrix rearrangement inequalities

โœ Scribed by Eric Carlen; Elliott H. Lieb


Book ID
106299349
Publisher
Springer
Year
2005
Tongue
English
Weight
218 KB
Volume
185
Category
Article
ISSN
0373-3114

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๐Ÿ“œ SIMILAR VOLUMES


Some matrix inequalities
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The arithmetic-geometric mean inequality for singular values due to Bhatia and Kittaneh says that 2s j (AB \* ) s j (A \* A + B \* B), j = 1, 2, . . .

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โœ C. Radhakrishna Rao ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 101 KB

Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for instance Refs. [18,21]). During recent years, there have been a number of papers where statistical results are used to prove some matrix theorems, especially matrix inequalities (Refs. [5,7,8,10,14,15