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四次正多项式的正分解
The Positive Factorization of Quartic Positive Polynomials
【摘要】 研究次数为4的符号正多项式的正分解问题,得出四次正多项式分解为一次和三次正多项式乘积的充要条件.
【Abstract】 This paper deals with the positive factorization problem of quartic positive symbolic polynomials,in which the necessary and sufficient conditions for such polynomial factors are obtained as being the product of two positive polynomials with one being linear and the other cubic.
【关键词】 正多项式;
判别式序列;
符号计算;
Sturm-Tarski定理;
【Key words】 positive polynomials; discrimination sequence; symbolic computation; Sturm-Tarski theorem;
【Key words】 positive polynomials; discrimination sequence; symbolic computation; Sturm-Tarski theorem;
【基金】 国家自然科学基金(10571095);宁波大学科研基金(XK0709019)
- 【文献出处】 宁波大学学报(理工版) ,Journal of Ningbo University(Natural Science & Engineering Edition) , 编辑部邮箱 ,2009年01期
- 【分类号】O151.1
- 【下载频次】50