| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601711 | Linear Algebra and its Applications | 2010 | 15 Pages |
Abstract
It is known that for any nonzero complex n×nn×n matrices XX and YY the quotient of Frobenius norms‖XY-YX‖F‖X‖F‖Y‖Fdoes not exceed 2. However, except for some special cases, only necessary conditions for attaining this bound have been found so far. We will completely characterize the pairs of matrices that satisfy equality with the quotient’s maximum.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Che-Man Cheng, Seak-Weng Vong, David Wenzel,