Modifications of the Interval-Newton-Method with improved asymptotic efficiency

被引：0
|
作者：
G. E. Alefeld
F. A. Potra
W. Völker
机构：
[1] Universität Karlsruhe,Institute für Angewandte Mathematik
[2] University of Iowa,Department of Mathematics
来源：
BIT Numerical Mathematics | 1998年 / 38卷
关键词：
65G10; 65H05; Nonlinear algebraic or transcendental equations; single equations; Interval-Newton-method; modifications;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper three new methods are introduced which compute lower and upper bounds of a simple zero of a real function. The lower and upper bounds are converging to this zero. Compared with the well-known Interval-Newton-Method, which has the same properties and asymptotic efficiency 1.414.... our optimal method has asymptotic efficiency 1.839... The new methods have been extensively tested on a large set of test examples.
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页码：619 / 635
页数：16
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