| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603236 | Linear Algebra and its Applications | 2007 | 14 Pages |
Abstract
Let A be a complex matrix of order n with eigenvalues and m be any integer satisfying . The bound for ∑|λj|2 by Kress, de Vries, and Wegmann is strengthened. Furthermore, new bounds are presented to estimate the spectral radius of A using m and traces of A, A2, A∗A and A∗A-AA∗. We also improve some Wolkowicz–Styan bounds and previous localization of eigenvalues in rectangular or elliptic regions using traces. Several simple lower bounds for the spectral radius are given, involving , , , and m.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
