A matrix A is said to be matrix majorized by a matrix B, written A βΊ B, if there exists an n Γ n row stochastic matrix X such that A = BX. This is a generalization of multivariate majorization. In this paper, we characterize the linear operators that strongly preserve the matrix majorization.
β¦ LIBER β¦
On linear preservers of (right) matrix majorization
β Scribed by A.M. Hasani; M. Radjabalipour
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 134 KB
- Volume
- 423
- Category
- Article
- ISSN
- 0024-3795
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Let F be a field. Let V denote the vector space of all m Γ n matrices over F or the vector space of all n Γ n symmetric matrices over F of characteristic not 2 or 3. For each fixed positive integer s 2, let Q s denote the set of all matrix pairs (A, B) in V such that rank(A + B) = rank(A) + rank(B)