解变分不等式的一种修正投影算法

A Modified Projection Method for Classical Variational Inequality

摘要

摘要:通过进一步的限制投影区域来对Solodov.etc.的算法做了修正,从而得到一种新的二次投影算法,该算法具有更长的步长,并证明了该算法生成的无穷序列｛xk｝收敛到变分不等式的一个解

Abstract:A modified projection method for classical variational inequalities is proposed through further restraining the projective zone. Such an algorithm turns out to have a long step size. The infinite sequence χk generated by such an algorithm proved to converge to a solution of the variational inequality.