解一类变分不等式问题的半内点同伦方法

Semi-interior Point Homotopy Method for Solving a Class of Variational Inequality Problems

求解含有等式与不等式约束条件变分不等式问题的半内点组合同伦方程,在较弱的条件下证明从R^(n)内任意一点出发的同伦路径的存在性、有界性和收敛性,并利用数值算例验证半内点组合同伦方法求解含等式与不等式约束条件变分不等式问题的可行性和有效性.

We solved a semi-interior point combined homotopy equation for variational Inequality problems with inequality and inequality constraints.Under weak conditions,we proved the existence,boundedness and convergence of homotopy paths starting from any point in R^(n),and verified the feasibility and effectiveness of the semi-interior point combined homotopy method for solving variational inequality problems with equality and inequality constraints by using numerical examples.