Solution formulas for cubic equations without or with constraints

被引：10
|
作者：
Zhao, Ting [1 ,2 ]
Wang, Dongming [2 ]
Hong, Hoon [3 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, SKLSDE, LMIB, Beijing 100191, Peoples R China
[2] Univ Paris 06, CNRS, Lab Informat Paris 6, F-75252 Paris 05, France
[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2011年 / 46卷 / 08期
关键词：
Cubic polynomial; Solution formula; Root convention; Constraint; COMPLETE DISCRIMINATION SYSTEM; POLYNOMIALS; FIELDS;
D O I：
10.1016/j.jsc.2011.02.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We present a convention (for square/cubic root) which provides correct interpretations of the Lagrange formula for all cubic polynomial equations with real coefficients. Using this convention, we also present a real solution formula for the general cubic equation with real coefficients under equality and inequality constraints. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：904 / 918
页数：15
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