Generalizing eigenvalue theorems to pseudospectra theorems (Q2780541)
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: Generalizing eigenvalue theorems to pseudospectra theorems |
scientific article; zbMATH DE number 1729156
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizing eigenvalue theorems to pseudospectra theorems |
scientific article; zbMATH DE number 1729156 |
Statements
15 April 2002
0 references
pseudospectra
0 references
eigenvalues
0 references
iterative methods
0 references
0.9111374
0 references
0.90336215
0 references
0.9027756
0 references
0.9006904
0 references
0.90035105
0 references
0 references
0.89707166
0 references
0.89624465
0 references
0 references
0.8943893
0 references
Generalizing eigenvalue theorems to pseudospectra theorems (English)
0 references
Pseudospectra are powerful tools for studying the behaviour of matrix iterative methods, especially when the matrix is highly nonnormal. Eigenvalues do not give an appropriate information in this situation. They can be even misleading. NEWLINENEWLINENEWLINESixteen theorems that describe properties of \(\varepsilon\)-pseudospectra are presented. Each of them is followed by a sketch of a proof, and it is preceded by its equivalent formulation for eigenvalues -- if \(\varepsilon=0\).
0 references
