【摘要】 讨论了一般的直交非线性互补问题(VNCP):f(x)≥0,g(x)≥0,fT(x)g(x)=0.构造了一种改进的Krawczyk区间算子,给出了求解VNCP问题的区间算法.该算法可检验任一区间中是否存在VNCP问题的解.若存在VNCP问题的解,用该算法可以求出VNCP问题在该区间中的所有解,并可得到包含VNCP问题解的区间宽度足够小的子区间.更多还原

【Abstract】 A discussion was made on the vertical nonlinear complementarity problems(VNCPs):f(x)≥0,g(x)≥0, and f~T(x)g(x)=0.An improved Krawczyk interval operator was constructed,and an interval algorithm for VNCPs was given.With the algorithm,it can be tested whether there exist solutions to VNCPs in any intervals,and all the existing solutions can be found out by the algorithm.Moreover, the subintervals with minimal width,which include the solutions to VNCPs,were also obtained.更多还原