Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603790 | Linear Algebra and its Applications | 2007 | 9 Pages |
Abstract
We extend to the von Neumann–Schatten classes Cp and norms ∥·∥p, where 2 ⩽ p < ∞, Penrose’s result on minimizing ∥AXB − C∥2. We give an example to show that this extension does not hold for 1 ⩽ p < 2. The proof of the global inequality depends on local considerations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory