An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains (Q2910974)
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scientific article; zbMATH DE number 6081318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains |
scientific article; zbMATH DE number 6081318 |
Statements
12 September 2012
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block iterative method
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preconditioner
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banded matrices
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Schwarz method
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numerical examples
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An optimal block iterative method and preconditioner for banded matrices with applications to PDEs on irregular domains (English)
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The authors present a completely algebraic version of the Schwarz method, including an algebraic approach to finding the optimal operator or a sparse approximation thereof. The method is applied to any banded or block banded systems of linear equations. The authors prove that the optimized Schwarz method converges in two iterations. Numerical examples are also presented and discussed.
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