Ein numerisches Verfahren zur simultanen Ermittlung aller Nullstellen eines Polynoms. (A numerical method for the simultaneous computation of all zeros of a polynomial) (Q917224)
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scientific article; zbMATH DE number 4155766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ein numerisches Verfahren zur simultanen Ermittlung aller Nullstellen eines Polynoms. (A numerical method for the simultaneous computation of all zeros of a polynomial) |
scientific article; zbMATH DE number 4155766 |
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Ein numerisches Verfahren zur simultanen Ermittlung aller Nullstellen eines Polynoms. (A numerical method for the simultaneous computation of all zeros of a polynomial) (English)
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1990
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The paper describes a locally convergent iterative method for computing simultaneously all roots of a given n-th order polynomial. The method is based on the solution by Newton's method of the system of n nonlinear equations arising from the relations between the roots and coefficients of the given polynomial.
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all zeros of a polynomial
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local convergence
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iterative method
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Newton's method
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