Verified error bounds for singular solutions of nonlinear systems (Q747729)
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scientific article; zbMATH DE number 6495731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Verified error bounds for singular solutions of nonlinear systems |
scientific article; zbMATH DE number 6495731 |
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Verified error bounds for singular solutions of nonlinear systems (English)
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19 October 2015
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The way to compute verified error bounds for isolated singular solutions and non-isolated singular solutions with maximum rank deficiency of general nonlinear systems is demonstrated. Using the border system technique, a deflation algorithm to compute verified error bound for such a singular solution of the given system or for a solution of a slight perturbed system is presented. The algorithm presented here decreases the dimension of the deflation system in each step. Numerical experiments are given.
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singular solutions
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verification
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border systems
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deflations
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error bounds
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nonlinear system
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algorithm
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numerical experiment
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