𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The structure of cones of matrices

✍ Scribed by George Phillip Barker; Raphael Loewy


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
396 KB
Volume
12
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Faces of the cone of Euclidean distance
✍ Pablo Tarazaga πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 216 KB

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

Max-algebraic attraction cones of nonneg
✍ Sergei˘ Sergeev πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 406 KB

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 βŠ— x = A r+t βŠ— x, where r is any integer after the periodicity transie

On cone of nonsymmetric positive semidef
✍ Yingnan Wang; Naihua Xiu; Jiye Han πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 252 KB

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