We prove that this smoothing function has two important properties, which will be very useful in the analysis on the global linear and local superlinear ( or quadratic) convergence of non-interior continuation methods for solving variational inequalities and complementarity problems. 证明了:该光滑化函数拥有两个在求解变分不等式和互补问题的非内部连续化算法的全局线性和局部超线性(或二次)收敛性分析中非常有用的两个性质。
When semidefinite programming satisfies the Slater conditions, linear semidefinite programming and Quadratic Semidefinite Programming are transformed into variational inequality problems. 其次,在满足严格可行性条件下,将线性半定规划和二次半定规划问题分别转化为变分不等式问题。