Iterative solution of simultaneous equations (Q1114327)
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scientific article; zbMATH DE number 4082831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative solution of simultaneous equations |
scientific article; zbMATH DE number 4082831 |
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Iterative solution of simultaneous equations (English)
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1988
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Stationary linear iteration methods are used to obtain generalized solutions for linear systems of simultaneous equations. Necessary and sufficient conditions are found for termination of the iterates after a finite number of steps. It is pointed out that there exist cases when the iterates converge, but not to a generalized solution. The results obtained are connected with the matching rules arrising in the asymptotic theory of singular perturbations.
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Stationary linear iteration methods
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generalized solutions
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matching rules
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singular perturbations
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