Alternating roots of polynomials (Q2496992)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Alternating roots of polynomials |
scientific article |
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Alternating roots of polynomials (English)
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26 July 2006
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The paper contains a sketchy proof of the fact that if two distinct polynomials \(P\) and \(Q\) of the same degree have only real roots, then there are at least \(\deg P -\deg (P-Q)\) alternations of roots along the real axis.
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implicit function theorem
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