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Dr. Dennis Amelunxen
- © Dennis Amelunxen
City University of Hong Kong
Department of Mathematics
G6613 (Green Zone), 6/F Academic 1
Tat Chee Avenue, Kowloon Tong, Hong Kong Persönliche Homepage
sites.google.com/site/dennisamelunxen/home
Publikationen in der Arbeitsgruppe
| Citation key | AB-Intrinsic-Volumes-Of-Symmetric-Cones |
|---|---|
| Author | Dennis Amelunxen and Peter Bürgisser |
| Year | 2012 |
| Note | A substantially revised and shortened version of this preprint has been published in Mathematical Programming 149(1-2) pp. 105-130, 2015. |
| Abstract | We compute the intrinsic volumes of the cone of positive semidefinite matrices over the real numbers, over the complex numbers, and over the quaternions, in terms of integrals related to Mehta's integral. Several applications for the probabilistic analysis of semidefinite programming are given. |