IJPAM: Volume 71, No. 2 (2011)

A UNIVERSAL METHOD OF SOLVING QUARTIC EQUATIONS

Sergei L. Shmakov
Saratov State University
83, Astrakhanskaya Str.,
Saratov, 410012, RUSSIAN FEDERATION


Abstract. All the existing methods of solving quartic equations (Descartes-Euler-Cardano's, Ferrari-Lagrange's, Neumark's, Christianson-Brown's, and Yacoub-Fraidenraich-Brown's ones) are particular versions of some universal method. It enables producing an arbitrary number of other particular algorithms with some desired properties.


Dedicated to Vera P. Filinova
my mathematics teacher.


Received: June 2, 2011

AMS Subject Classification: 11D25

Key Words and Phrases: quartic equation, solution, method, resolvent, shift, hyperbolic transformation

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 2