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.

引用

页码：904 / 918

页数：15

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