Spectral inequalities for matrix exponentials (Q1113971)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Spectral inequalities for matrix exponentials |
scientific article; zbMATH DE number 4081742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral inequalities for matrix exponentials |
scientific article; zbMATH DE number 4081742 |
Statements
Spectral inequalities for matrix exponentials (English)
0 references
1988
0 references
For any complex matrix A the author proves the following inequality for partial traces of the kth compound matrix \(tr_ i^{(k)}(e^ Ae^{A^*})\leq tr_ i^{(k)}(e^{A+A^*}).\) Equality holds if A is normal.
0 references
spectral inequalities
0 references
matrix exponentials
0 references
partial trace inequality
0 references
compound matrix
0 references
