A hybrid method for polynomial complex zero (Q758127)
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scientific article; zbMATH DE number 4195053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A hybrid method for polynomial complex zero |
scientific article; zbMATH DE number 4195053 |
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A hybrid method for polynomial complex zero (English)
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1991
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The paper deals with an iterative algorithm for finding isolated simple complex zeroes of a polynomial. Using Weierstrass' interval formula for the simultaneous inclusion of all zeroes of the polynomial and rectangular floating-point arithmetic, a hybrid method with high computational efficiency is presented. Furthermore, error bounds of the approximate solution are determined. In a second part, a computationally verifiable test for the existence of a zero in a given disc is established. A numerical example is given, too.
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rectangular arithmetic
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iterative algorithm
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isolated simple complex zeroes
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polynomial
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Weierstrass' interval formula
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simultaneous inclusion
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floating-point arithmetic
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hybrid method
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error bounds
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numerical example
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