Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices (Q874989)
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scientific article; zbMATH DE number 5141621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices |
scientific article; zbMATH DE number 5141621 |
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Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices (English)
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10 April 2007
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\(\mathcal{H}^{2}\)-matrices employ nested local expansion systems in order to approximate matrices in optimal order of complexity. This paper presents a criterion for the approximability of general matrices in the \(\mathcal{H}^{2}\)-matrix format and an algorithm for finding good nested expansion systems and constructing the approximation efficiently.
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data-sparse approximation
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hierarchical matrices
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nested bases
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\(\mathcal{H}^{2}\)-matrices
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complexity
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