两类区间算法的收敛性

The Convergence of Two Classes of Interval Algorithms

对于非线性方程组,本文中推广了 Alefeld 的两种区间 Newton法,由此可导出各种不同的算成,以便在特定的应用中做出合适的选择。另外,对Alefeld 提出的问题给出肯定的回答。

For a nonlinear system of equations, a generalization of two interval Newton-algorithms presented by Alefeld is discussed, from which different algorithms can be derived and it is possible to choose the appropriate one for a particular application. This paper also gives an affirmative answer to the question put by Alefeld.