An Interval Method for Testing the Existence of Solution to Complementarity Problems
Hua Wei · Journal of Nanjing Institute of Technology · 2006
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.