摘要
本文探索非多项式型实函数的实根分离问题,实现了分离三角函数多项式实根的"完备算法",即可以找出一个互不相交的区间列,每一个区间包含函数一个实根,整个列表包含函数的全部实根,且每个区间长度可以小于任意指定精度.
The real root isolation for non-polynomial functions is discussed. A complete algorithm to isolate the real zeros of trigonometric function polynomial is presented, which can output a list of mutually disjoint intervals. Each interval contains only one zero of the generalized polynomial and the list contains all the roots of the polynomial. Furthermore, the length of each interval can be less than any given positive real number.
出处
《汕头大学学报（自然科学版）》
2016年第3期25-39,共15页
Journal of Shantou University：Natural Science Edition
关键词
三角函数多项式
实根分离
区间列
终止性
trigonometric function polynomial
real root isolation
interval list
termination
