Properties of iteration of Toeplitz operators with Toeplitz preconditioners (Q1267027)
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: Properties of iteration of Toeplitz operators with Toeplitz preconditioners |
scientific article; zbMATH DE number 1206838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of iteration of Toeplitz operators with Toeplitz preconditioners |
scientific article; zbMATH DE number 1206838 |
Statements
Properties of iteration of Toeplitz operators with Toeplitz preconditioners (English)
0 references
1 August 1999
0 references
Toeplitz operators are preconditioned by approximations applied to the symbol (also known as generating function) of the operator. The preconditioned operator divides in two parts, a compact one and a perturbation. As a result, Krylov subspace methods exhibit superconvergence in initial iterations. Convergence estimates are given in terms of the symbol of the operator. The results are confirmed by numerical experiments.
0 references
preconditioning
0 references
Toeplitz operators
0 references
Krylov subspace methods
0 references
superconvergence
0 references
numerical experiments
0 references
