Multigrid methods for Toeplitz linear systems with different size reduction (Q438734)
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scientific article; zbMATH DE number 6062481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multigrid methods for Toeplitz linear systems with different size reduction |
scientific article; zbMATH DE number 6062481 |
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Multigrid methods for Toeplitz linear systems with different size reduction (English)
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31 July 2012
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The authors analyze the convergence of a multigrid method where the fine problem of size \(n\) is projected to a coarser problem of size \(n/g, ~g=2, 3, \dots\). They present a tow-grid analysis using the ideas for circulant structures and by exploiting the spectral analysis of \(g\)-circulant matrices. Numerical experiments regarding circulant and Toeplitz matrices are also presented.
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circulant
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\(g\)-circulant and Toeplitz matrices
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two-grid and multigrid methods
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convergence
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numerical experiments
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