In this paper we obtain new characterizations of the faces of the cone of Euclidean distance matrices. In one case the characterization is based on a special subspace associated with each distance matrix, in other case on linear restrictions of coordinate matrices. We also relate the faces to the su
The structure of cones of matrices
β Scribed by George Phillip Barker; Raphael Loewy
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 396 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
It is known that the max-algebraic powers A r of a nonnegative irreducible matrix are ultimately periodic. This leads to the concept of attraction cone Attr(A, t), by which we mean the solution set of a two-sided system Ξ» t (A)A r β x = A r+t β x, where r is any integer after the periodicity transie
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