A universal method of solving quartic equations (Q2879562)
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scientific article; zbMATH DE number 6018738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A universal method of solving quartic equations |
scientific article; zbMATH DE number 6018738 |
Statements
28 March 2012
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algorithm
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Cardan
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Ferrari
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hyperbolic transformation
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quartic equation
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resolvent
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shift
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A universal method of solving quartic equations (English)
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The author of the paper under review describes the five methods for solving a quartic equation known by the names of Descartes-Euler-Cardano, Ferrari-Lagrange, Neumark, Christianson-Brown, and Yacoub-Fraidenraich-Brown, and then shows that all these methods are particular versions of a universal method that he exhibits. This universal method can be used to generate more algorithms that satisfy certain desired properties. A \texttt{MAXIMA} script is appended.
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