The updating technique for the solution of a sequence of linear equations (Q795468)
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scientific article; zbMATH DE number 3862322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The updating technique for the solution of a sequence of linear equations |
scientific article; zbMATH DE number 3862322 |
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The updating technique for the solution of a sequence of linear equations (English)
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1983
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The author applies two well-known algorithms for the generalized eigenvalue problem, the QZ-algorithm by Moler and Stewart and the LZ- algorithm by L. Kaufman, to the solution of r systems of linear equations \((A+\lambda_ iB)x=b\quad i=1,2,...,r\) with singular or ill-conditioned matrix B and counts the necessary arithmetic operations.
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updating technique
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numerical results
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generalized eigenvalue problem
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QZ-algorithm
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LZ-algorithm
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ill-conditioned matrix
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