Extreme points of a convex subset of the cone of positive semidefinite matrices
β Scribed by R. Loewy
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 481 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
In this paper, we analyze and characterize the cone of nonsymmetric positive semidefinite matrices (NS-psd). Firstly, we study basic properties of the geometry of the NS-psd cone and show that it is a hyperbolic but not homogeneous cone. Secondly, we prove that the NS-psd cone is a maximal convex su
A function f from the symmetric group S n into R is called a class function if it is constant on each conjugacy class. Let d f be the generalized matrix function associated with f, mapping the n-by-n Hermitian matrices to R. For example, if f (Ο ) = sgn(Ο ), then d f (A) = det A. Let K n (K n (R)) d