Absence of positive roots of sextic polynomials (Q449586)
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scientific article; zbMATH DE number 6074778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Absence of positive roots of sextic polynomials |
scientific article; zbMATH DE number 6074778 |
Statements
Absence of positive roots of sextic polynomials (English)
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31 August 2012
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The authors consider monic sextic polynomials \(\lambda^6+a\lambda^5+b\lambda^4+c\lambda^3+d\lambda^2+\alpha \lambda +\beta\) and give necessary and sufficient conditions on the real coefficients \(a,b,c,d,\alpha,\beta\) such that the polynomial does not have any positive root. The conditions are expressed in terms of roots of quartic polynomials and geometry of explicit parametric curves.
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sextic polynomials
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positive roots
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characteristic region
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