A semi-iterative method for real spectrum singular linear systems with an arbitrary index (Q1379018)
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scientific article; zbMATH DE number 1115949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A semi-iterative method for real spectrum singular linear systems with an arbitrary index |
scientific article; zbMATH DE number 1115949 |
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A semi-iterative method for real spectrum singular linear systems with an arbitrary index (English)
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9 February 1998
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The authors develop a semi-iterative method for computing the action of the Drazin inverse of a singular linear system. A convergence theory including the estimates of the rate of convergence is presented. The paper extends earlier work by \textit{M. Hanke} and \textit{M. Hochbruck} [ETNA, Electron. Trans. Numer. Anal. 1, 89-103 (1993; Zbl 0809.65039)] who considered matrices with one-dimensional Jordan blocks corresponding to the zero eigenvalue. The performance of the algorithm is illustrated on numerical examples.
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semi-iterative method
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Drazin inverse
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singular linear system
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convergence
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performance
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algorithm
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numerical examples
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0.89947116
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0.8984801
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0.89439577
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