An estimate for the spectral norm of the inverse of a matrix with the Gauss-Jordan algorithm (Q1824987)
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scientific article; zbMATH DE number 4119498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An estimate for the spectral norm of the inverse of a matrix with the Gauss-Jordan algorithm |
scientific article; zbMATH DE number 4119498 |
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An estimate for the spectral norm of the inverse of a matrix with the Gauss-Jordan algorithm (English)
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1989
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A new algorithm is presented for calculating an estimate for the spectral norm of the inverse of a matrix, which is to be used in combination with solving a linear system by means of the Gauss-Jordan method. The algorithm needs \(5n^ 2+O(n)\) extra floating-point multiplications to obtain the required estimate.
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condition estimation
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matrix inverse
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condition number
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algorithm
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spectral norm
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Gauss-Jordan method
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0.8935585
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0.87649447
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0.87560093
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0.8752656
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0.8749949
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0.8749466
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