Spectral portrait for non-Hermitian large sparse matrices (Q1340876)
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scientific article; zbMATH DE number 704628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral portrait for non-Hermitian large sparse matrices |
scientific article; zbMATH DE number 704628 |
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Spectral portrait for non-Hermitian large sparse matrices (English)
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20 December 1994
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The spectral portrait of a matrix, like the pseudospectrum studied by \textit{L. N. Trefethen} [Pitman Res. Notes Math. Ser. 260, 234-266 (1992; Zbl 0798.15005)], contains the eigenvalues of all matrices in a small neighbourhood of a given matrix. In this paper the authors present an algorithm for estimating the spectral portrait of a large sparse matrix \(A\). It computes \(\sigma_{\min} (A - \mu I)\) for each \(\mu\) on a certain grid.
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pseudo-eigenvalues
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nonnormal matrices
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pseudospectrum
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algorithm
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large sparse matrix
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