摘要
提出一个广义Budan-Fourier定理并设计了一个反复运用该定理实现反正切函数多项式实根分离的逐次Budan-Fourier算法,运用该算法解决了混合三角函数多项式的实根分离问题.
In this paper,a generalized Budan-Fourier theorem is obtained and a so-called Successive Budan-Fourier Algorithm is proposed to solve the real root isolation of arctangent function polynomials by repeatedly applying the theorem.And then the real root isolation problem of mixed trigonometric function polynomials is solved by the algorithm.
作者
陈世平
陈果
CHEN Shi-ping;CHEN Guo(College of Business Administration,Sichuan Vocational College of Finance and Economics,Chengdu 610101,China;Information Engineering College,Southwest University of Science and Technology,Mianyang 621000,China)
出处
《数学的实践与认识》
2023年第10期245-259,共15页
Mathematics in Practice and Theory
