| 四次函数实零点的完全判据和正定条件 |
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| 引用本文： | 冯贝叶.四次函数实零点的完全判据和正定条件[J].应用数学学报,2006,29(3):454-466. |
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| 作者姓名： | 冯贝叶 |
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| 作者单位： | 中国科学院数学与系统科学研究院,北京,100080 |
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| 摘 要： | 本文给出了四次函数实零点的完全判据和正定条件,这一结果在研究多项式系统的奇点分析和分支问题时给出了可以实用的判据．
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| 关 键 词： | 4次函数 多项式的实根的数目 多项式的正定性 判定条件 |
| 收稿时间： | 2004-05-08 |
| 修稿时间： | 2004-05-082004-12-23 |
The complete criterion of roots of quartic functions and the positive definite condition of a quartic function |
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| FENG BEIYE.The complete criterion of roots of quartic functions and the positive definite condition of a quartic function[J].Acta Mathematicae Applicatae Sinica,2006,29(3):454-466. |
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| Authors: | FENG BEIYE |
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| Institution: | Academy of Mathmematics and Systems Science, the Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | This paper gives the complete criterion to detemine the numbers and multiplicity of root of a quartic function and the positive definite condition of a quartic function. When one studies the singular point and the bifurcation problems for a polynomial, these results give useful criterion. |
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| Keywords: | quartic functions roots positive definite condition |
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