Backward error analysis for linear systems associated with inverses of H- matrices (Q761766)
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scientific article; zbMATH DE number 3888799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Backward error analysis for linear systems associated with inverses of H- matrices |
scientific article; zbMATH DE number 3888799 |
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Backward error analysis for linear systems associated with inverses of H- matrices (English)
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1984
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A backward error analysis for linear systems \(Ax=b\), where A is a matrix whose inverse can be associated with a diagonally dominant matrix is developed. It is shown that under some conditions the Gaussian elimination without pivoting for such systems can be safely implemented.
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backward error analysis
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inverses of H-matrices
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Gaussian
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elimination
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M-matrix
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stability of triangular factorizations
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