【摘要】 利用Chen—Harker—Kanzow—Smale光滑函数提出了一种新的解葙约束变分不等式的光滑牛顿算法．此算法在每一步迭代中只需处理一个光滑函数,不需考虑使近似参数下降的过程．当满足适当条件时可证明本算法是超线性收敛的．更多还原

【Abstract】 In this paper, a new smoothing Newton algorithm for sloving box constrained variational inequality is proposed through using Chen-Harker-Kanzow-Smale smoothing function. This method has the advantage that it has only to deal with a smooth function at each iteration and it never requires a procedure to decrease an approximation parameter. Under the proper conditions, its convergence rate is superlinear.更多还原