Real solution isolation using interval arithmetic

被引：27
作者：
Xia, Bican [1 ]
Zhang, Ting
机构：
[1] Peking Univ, LMAM, Beijing 100871, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 6-7期
关键词：
real solution isolation; interval arithmetic; polynomial systems; semialgebraic systems; maple;
D O I：
10.1016/j.camwa.2006.06.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose a complete algorithm for real solution isolation for semialgebraic systems by using interval arithmetic. The algorithm is implemented as a Maple program Nrealzero and its performance on several examples is reported. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：853 / 860
页数：8
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