Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm (Q1971116)
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: Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm |
scientific article; zbMATH DE number 1421574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm |
scientific article; zbMATH DE number 1421574 |
Statements
Numerical experiments in computing bounds for the norm of the error in the preconditioned conjugate gradient algorithm (English)
0 references
7 September 2000
0 references
Algorithms for computing bounds on the \(A\)-norm of the error in the preconditioned conjugate gradient method are considered. A modified version of the latter is proposed, which produces lower and upper bounds on the \(A\)-norm assuming that lower respectively upper bound of the smallest respectively largest eigenvalues of the preconditioned matrix are known. Numerical examples illustrate the capabilities of the algorithm.
0 references
preconditioned conjugate gradient method
0 references
numerical examples
0 references
bounds for the A-norm of the error
0 references
