On the convergent condition of Durand-Kerner method in parallel circular iteration of multi-step (Q2572333)
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| Language | Label | Description | Also known as |
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| English | On the convergent condition of Durand-Kerner method in parallel circular iteration of multi-step |
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On the convergent condition of Durand-Kerner method in parallel circular iteration of multi-step (English)
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16 November 2005
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The author presents a proof of an improved method for iterative simultaneous refinement of all simple complex zeros of monic polynomials, when each zero is included in a disk, provided that initial approximations for all disks are available. The iterative procedure is based on calculation of Durand-Kerner corrections in circular arithmetic. The method offers weaker initial requirements for the convergence of the iterations.
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Durand-Kerner method
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Parallel circular iteration
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Multistep method
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simple complex zeros
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polynomials
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circular arithmetic
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convergence
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