实系数多项式实根范围的探讨  

On the Range of Real Roots of Polynomials with Real Coefficients

作　　者：黄香蕉[1] 明万元[1] 赵龙斌 HUANG Xiangjiao;MING Wanyuan;ZHAO Longbin(School of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang 330063,China;School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China)

机构地区：[1]南昌航空大学数学与信息科学学院,江西南昌330063 [2]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《高等数学研究》2024年第4期27-28,共2页Studies in College Mathematics

基　　金：国家自然科学基金项目(62172198);江西省研究生优质课程线上转化项目(2020-36);南昌航空大学教改项目(JY22070,JY24024,SZ2327).

摘　　要：针对实系数多项式方程,在已知一个实根的条件下,给出了其余实根上、下界的估计.然后将结论推广至已知多个实根的情形,并通过例题加以说明.For a given real root of polynomial equation with real coefficients,a lower and upper bounds of all other real roots of this equation are presented.The obtained result is further extended to the case of several known real roots,and the validity of the proposed method is verified by an example.

关 键 词：多项式 实根 上界 

分 类 号：O13[理学—数学] O172.1[理学—基础数学]