| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9498191 | Linear Algebra and its Applications | 2005 | 15 Pages |
Abstract
Our purpose is to identify matrices that extremize the maximum and minimum singular values among all matrices that share one of two types of Gersgorin data. All matrices sharing one type of information are treated equally, and no other information is taken into account. Knowledge of extremizers provides optimal estimates. Examples are given. As the largest singular value is also an operator norm induced by an absolute vector norm, we mention analogous facts for other operator norms.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles R. Johnson, Tomasz Szulc, Dominika Wojtera-Tyrakowska,