two psd matrices is psd if and only if the product is normal.
On a Parametrization of Positive Semidefinite Matrices with Zeros
โ Scribed by Drton, Mathias; Yu, Josephine
- Book ID
- 118211964
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 235 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0895-4798
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A matrix [ ai j( a)xi j ] is shown to be positive semidefinite or positive definite if the matrix [xi j] is positive semidefinite or positive definite and aij( a) belongs to a large class of functions of a. This class includes the reciprocals of the ath mean values of xii and xii in the cases where
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