用差分代换研究实数域中多项式的半正定性  

Study of multi-nomial semi-positive definiteness in real number field by the means of difference replacement

作　　者：刘保乾[1] 

机构地区：[1]西藏自治区人事厅信息中心,西藏拉萨850000

出　　处：《佛山科学技术学院学报（自然科学版）》2008年第2期8-11,共4页Journal of Foshan University(Natural Science Edition)

摘　　要：以逐次差分代换为依据,提出了多级差分代换平凡和非平凡以及绝对差分代换非平凡的概念;通过分情形讨论,将实数域中的多项式转化为正数域中的等价多项式集,从而实现用差分代换研究实数域中多项式半正定性的问题。Based on gradual difference replacement, the definitions of multi-difference replacement non- triviality and absolute difference replacement non-triviality are put forward. Through situational discussion, we have converted the muhi-nomial in real number field into equivalent muhi-nomial set in positive number, thus we can study the muhi-nomial semi-positive definiteness in real number field by the means of difference replacement.

关 键 词：多项式 差分代换 半正定 

分 类 号：O156.2[理学—数学]