Antieigenvalue bounds (Q910679)
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: Antieigenvalue bounds |
scientific article; zbMATH DE number 4140565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Antieigenvalue bounds |
scientific article; zbMATH DE number 4140565 |
Statements
Antieigenvalue bounds (English)
0 references
1989
0 references
The first antieigenvalue (or the deviation) of a bounded operator T is defined by \[ \mu_ 1(T)=\inf (Re[Tx,x])/(\| Tx\| \cdot \| x\|). \] In the article under review bounds for \(\mu_ 1(T)\) are determined. As main result a new method for the computation of antieigenvalues is presented (namely that of Lagrange multiplier).
0 references
cosine of an operator
0 references
numerical range
0 references
first antieigenvalue
0 references
deviation
0 references
bounded operator
0 references
computation of antieigenvalues
0 references
Lagrange multiplier
0 references
