Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
复制标题
非线性方程组求解的类 Krawczyk 算法
DOI：
10.1137/0722048
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发表时间：
1985
影响因子：
2.9
通讯作者：
H. Schwandt
中科院分区：
文献类型：
--
作者：
H. Schwandt
本文提出了求解非线性方程组的区间算术方法。这些方法都是基于R. [5]和[3]中引入的修改。从包含给定系统的解的区间向量开始，这些方法在相对较弱的条件下收敛到该解，即可以说收敛几乎是全局的。
In this paper we present interval arithmetic methods for the solution of systems of nonlinear equations. These methods are based on the algorithm of R. Krawczyk [5] and a modification introduced in [3]. Starting with an interval vector containing a solution of the given system, these methods converge to that solution under relatively weak conditions, i.e. it can be said that the convergence is almost global.