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Matrix versions of some classical inequalities

✍ Scribed by Jean-Christophe Bourin

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
195 KB
Volume
416
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Operator versions of some classical ineq
Operator versions of some classical inequalities
✍ B. Mond; J. PečariΔ‡; J. Ε unde; S. VaroΕ‘anec πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 270 KB

Using the theory of connections developed in a paper by Kubo and Ando, operator versions of many classical inequalities are obtained. Finally, it is shown how abstract solidarities, an extension of the Kubo-Ando theory, can be used to obtain operator inequalities.

On some matrix inequalities
On some matrix inequalities
✍ Xingzhi Zhan πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 155 KB

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, . . .

Statistical proofs of some matrix inequa
Statistical proofs of some matrix inequalities
✍ C. Radhakrishna Rao πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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