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一种互补问题解的存在性区间检验方法
引用本文:吴业军,杨帆,孙福树,滑伟.一种互补问题解的存在性区间检验方法[J].南京工程学院学报(自然科学版),2006,4(3):1-4.
作者姓名:吴业军  杨帆  孙福树  滑伟
作者单位:南京工程学院基础部,江苏,南京,211167
基金项目:南京工程学院校科研和教改项目
摘    要:对互补问题解的存在性提出了一种区间检验.把解互补问题转化为求非线性映照的不动点.介绍了n维区间向量和区间max运算及互补问题的Krawczyk类算子,提出了区间max运算下互补问题的最佳Krawczyk算子检验方法,并给出了检验实例.

关 键 词:互补问题  Krawczyk算子  区间max运算  最佳Krawczyk算子
文章编号:1672-2558(2006)03-0001-04
收稿时间:2006-04-01
修稿时间:2006-07-05

An Interval Method for Testing the Existence of Solution to Complementarity Problems
WU Ye-jun,YANG Fan,SUN Fu-shu,HUA Wei.An Interval Method for Testing the Existence of Solution to Complementarity Problems[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2006,4(3):1-4.
Authors:WU Ye-jun  YANG Fan  SUN Fu-shu  HUA Wei
Abstract:In this paper,an interval method is proposed to test the existence of solution to complementarity problems.Firstly,solving complementarity problems is changed into finding a nonlinear mapping's fixed point.Then n-dimensional interval vector,interval max operation and Krawczyk operator for complementarity problems are introduced.Lastly,the(optimal) Krawczyk operator with interval max operation for testing the existence of solution to complementarity problems is obtained and a testing example is given.
Keywords:complementarity problems  Krawczyk operator  interval max operation  optimal Krawczyk operator
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