研究球形约束变分不等式求解的算法，提出一种光滑化牛顿方法，证明了该方法具有全局收敛性和超线性收敛。

In this paper we present a smoothing Newton method for solving ball constrained variational inequalities. Global and superlinear convergence theorems of the proposed method are established.

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分别采用光滑化函数法和求解lc1函数类型方法对牛顿型算法进行研究求解。

In this paper, a special support vector regression machine algorithm is proposed, within which smoothing function and method to solve LC1 type functions are combined to solve Newton-type algorithm.

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