一种互补问题解的存在性区间检验方法  

An Interval Method for Testing the Existence of Solution to Complementarity Problems

作　　者：吴业军[1] 杨帆[1] 孙福树[1] 滑伟[1] 

机构地区：[1]南京工程学院基础部,江苏南京211167

出　　处：《南京工程学院学报（自然科学版）》2006年第3期1-4,共4页Journal of Nanjing Institute of Technology(Natural Science Edition)

基　　金：南京工程学院科研基金项目(KXJ04098)

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m ax运算及互补问题的Krawczyk类算子.提出了区间m ax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.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.

关 键 词：互补问题 Krawczyk算子 区间max运算 最佳Krawczyk算子 

分 类 号：O241[理学—计算数学]