On arrangements of roots for a real hyperbolic polynomial and its derivatives (Q1599937)
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scientific article; zbMATH DE number 1751550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On arrangements of roots for a real hyperbolic polynomial and its derivatives |
scientific article; zbMATH DE number 1751550 |
Statements
On arrangements of roots for a real hyperbolic polynomial and its derivatives (English)
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19 November 2002
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The authors compute the number of connected components in the space of all real univariate polynomials of degree \(n\) having all their roots real and simple and having no common root with their \(k\)th derivatives. They also obtain an extension of Rolle's theorem on strictly hyperbolic polynomials.
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hyperbolic polynomials
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0.9714734
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0.9455538
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0.9250891
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0.9124542
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0.9081053
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