Abstract:In this paper, we analyze and characterize the cone of nonsymmetric positive semideflnite matrices (NS-psd). Firstly, we study basic properties of the geometry of the NS-psd cone and show that it is a...In this paper, we analyze and characterize the cone of nonsymmetric positive semideflnite 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 subcone of P0-matrix cone which is not convex. But the interior of the NS-psd cone is not a maximal convex subcone of P-matrix cone. As the byproducts, some new su‐cient and necessary conditions for a nonsymmetric matrix to be positive semideflnite are given. Finally, we present some properties of metric projection onto the NS-psd cone.Read More
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: article
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