Perturbation theorems for estimating magnitudes of roots of polynomials (Q972942)
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scientific article; zbMATH DE number 5710904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation theorems for estimating magnitudes of roots of polynomials |
scientific article; zbMATH DE number 5710904 |
Statements
Perturbation theorems for estimating magnitudes of roots of polynomials (English)
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21 May 2010
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The authors study the perturbation theorems for estimating magnitudes of roots of polynomials. The main focus is on the initial estimation of the magnitudes of roots and not finding the roots itself. In addition to the two theorems given and proven by the first author and \textit{H. A. Yurtsever} [Appl. Math. Comput. 188, No. 2, 2025--2028 (2007; Zbl 1119.65041)], two new theorems are posed and proven to estimate the magnitudes of roots. Several numerical applications of the theorems are presented.
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roots of polynomials
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perturbation theory
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estimation
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magnitudes of roots
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