On first zero crossing points

被引：2
作者：
Wolfe, MA [1 ]
机构：
[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 150卷 / 02期
关键词：
interval mathematics; automatic derivative and slope arithmetic; the interval Newton operator;
D O I：
10.1016/S0096-3003(03)00285-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Three algorithms, FZ1, FZ2 and FZ3 for bounding the first zero crossing point of a set of univariate functions on a bounded closed interval are described. Extended interval arithmetic is used in both FZ2 and FZ3. Automatic derivative arithmetic is used in FZ2 and automatic slope arithmetic is used in FZ3. Numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：467 / 479
页数：13
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