求解区间参数非线性方程组的数值方法
Numerical Method for Solving Nonlinear Equations with Interval Parameter
DOI: 10.12677/AAM.2017.67105, PDF, HTML, XML, 下载: 1,952  浏览: 6,643  科研立项经费支持
作者: 王琪, 肖旺, 王海军*：中国矿业大学数学学院，江苏 徐州
关键词: 区间参数非线性方程组；牛顿降阶法；Krawczyk算子；Nonlinear Equations with Interval Parameters； Newton Order-Reduction Method； Krawczyk Operator
摘要: 本文研究了区间参数非线性方程组的求解问题，通过改进区间Krawczyk算子并结合牛顿降阶法提出了求解区间参数非线性方程组的区间算法，给出了相关的理论结果和数值有效性测试。数值算例表明提出的算法可以有效的求解区间参数非线性方程组。
Abstract: In this paper, the problem of solving nonlinear equations with interval parameters is considered. By improving interval Krawczyk operator and applying Newton order-reduction method, we pro-pose an interval algorithm to solve nonlinear equations with interval parameters. The theoretical result and numerical test are given and numerical result shows that proposed interval algorithm can effectively solve nonlinear equations with interval parameters.
文章引用：王琪, 肖旺, 王海军. 求解区间参数非线性方程组的数值方法[J]. 应用数学进展, 2017, 6(7): 871-880. https://doi.org/10.12677/AAM.2017.67105

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