摘要
对一类特殊的实代数数:可以分成二部分之和,且其中一部分为它定义多项式的最大根,另一部分的相反数也是它定义多项式的最大根进行了研究.给出它的符号判定算法,并用Maple9.0系统编程实现.该算法同样适用于二个定义多项式均仅含单实根的实代数数.
We have proposed an algorithm for determining the sign of the real algebraic numbers, which can be divided into two parts. Both can be the maximum root of their definitional polynomials. It is realized with the help of MAPLE9.0. In the fact, the algorithm is also fitted for the real algebraic numbers which have simple real roots in both definitional polynomials.
关键词
实代数数
符号判定
算法
结式
最大根
隔离区间
Real algebraic numbers
Sign determination
Algorithm
Resultant
Maximum roots
Isolating intervals
