| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598600 | Linear Algebra and its Applications | 2016 | 8 Pages |
Abstract
It is known that AB and BA are similar when A and B are Hermitian matrices. In this note we answer a question of F. Zhang by demonstrating that similarity can fail if A is Hermitian and B is normal. Perhaps surprisingly, similarity does hold when A is positive semidefinite and B is normal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stephan Ramon Garcia, David Sherman, Gary Weiss,