一种修正的m步松弛投影法

One Kind of m-Steps Modified Relaxed Projection Method

在松弛投影法的基础上,用超平面来代替凸集,充分利用已经求出的最优参数,构造出一种新的解决凸可行性问题的算法,即m步修正松弛投影法,并证明了该算法是强收敛的.

Based on the relaxed projection method,the author uses a hyperplane to substitute for the convex set and makes full use of the calculated bestparameter.A new algorithm named m-steps modified relaxed projection method is constructed to solve the convex feasibility problem.Furthermore,the algorithm is proved to be strong convergence.