On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity (Q1697274)
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scientific article; zbMATH DE number 6839395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity |
scientific article; zbMATH DE number 6839395 |
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On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity (English)
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15 February 2018
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A general theorem for iteration functions in a cone normed space over \(\mathbb{R}^n\) is given. A local convergence theorem with a priori and a posteriori error estimates as well as a theorem under computationally verifiable initial conditions for the Schröder's iterative method considered as a method for simultaneous computation of polynomial zeros of unknown multiplicity are derived. Results of numerical examples are presented.
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Schröder's method
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polynomial zeros
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multiple zeros
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local convergence
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semilocal convergence
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error estimates
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cone normed space
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numerical example
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