| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600510 | Linear Algebra and its Applications | 2012 | 9 Pages |
Abstract
We describe properties of a Hermitian matrix M∈Mn(C)M∈Mn(C) having minimal quotient norm in the following sense:‖M‖⩽‖M+D‖‖M‖⩽‖M+D‖for all real diagonal matrices D∈Mn(C)D∈Mn(C). Here ‖‖ denotes the operator norm. We show a constructive method to obtain all the minimal matrices of any size.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
E. Andruchow, G. Larotonda, L. Recht, A. Varela,