Interval Methods for Root-Finding of Nonlinear Equations of One Variable

被引：0
|
作者：
Galdino, Sergio [1 ]
机构：
[1] State Univ Pernambuco, Polytech Sch, Recife, PE, Brazil
来源：
PROCEEDINGS 2012 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC) | 2012年
关键词：
interval computing; interval analysis; root-finding; nonlinear equations; ENCLOSING SIMPLE ZEROS;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Interval analysis has proven successful for finding a root xi of a nonlinear quation f(x)=0 in the interval [a,b]. The classical version of interval Newton's method and more three new (supposed) interval methods has been tested on a series of examples. The Regula Falsi-Newton hybrid interval method and Halley's (two versions) interval method are competitive when compared with the interval Newton's method (used version). The numerical results empirically show that all methods give us verified computations (self-validating), ensuring that the exact value is certain to belong to the intervals computed.
引用
收藏
页码：439 / 444
页数：6
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