A systematic approach to the exact roots of polynomials

被引：5
|
作者：
Beji, Serdar [1 ]
机构：
[1] Istanbul Tech Univ, Fac Naval Architecture & Ocean Engn, TR-34469 Istanbul, Turkey
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2008年 / 5卷 / 02期
关键词：
zeros of the second; third; and fourth degree polynomials; systematic approach; Cardan and Cardan-Ferrari solutions;
D O I：
10.1007/s00009-008-0141-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A unified framework is introduced for obtaining the exact roots of a polynomial by establishing a corresponding polynomial of one degree less. The approach gives the well-known solutions for the second and third degree polynomials and a new solution for the quartic equation, which is different in form from the classical Ferrari-Cardan solution. In accord with Abel's proof, the method produces no solution for the quintic equation.
引用
收藏
页码：163 / 172
页数：10
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