Generalizations of the Cauchy and Fujiwara bounds for products of zeros of a polynomial (Q2826204)
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scientific article; zbMATH DE number 6636941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalizations of the Cauchy and Fujiwara bounds for products of zeros of a polynomial |
scientific article; zbMATH DE number 6636941 |
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10 October 2016
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zeros of polynomials
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Cauchy bound
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companion matrix
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compound matrix
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0.9134301
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0.90405726
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0.9021462
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0.8911882
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0.8900888
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Generalizations of the Cauchy and Fujiwara bounds for products of zeros of a polynomial (English)
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It is well known that the Cauchy bound is one of the best known upper bounds for the modulus of the zeros of a polynomial and the Fujiwara bound is another useful upper bound for the modulus of the zeros of a polynomial. The authors employ compound matrices to derive a generalization of the Cauchy bound and the Fujiwara bound. This generalization yields upper bounds for the modulus of the product of \(m\) zeros of the polynomial. The concept given by the authors is interesting. The proof of results are adequate.
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