一种修正的m步松弛投影法

journal6 ›› 2006, Vol. 27 ›› Issue (5): 6-9.

一种修正的m步松弛投影法

(吉首大学数学与计算机科学学院,湖南吉首 416000)

出版日期:2006-09-25 发布日期:2012-06-29
作者简介:方东辉(1979-),男,湖南洞口人,吉首大学数学与计算机科学学院讲师,硕士,主要从事非线性逼近与优化研究.
基金资助:
湖南省教育厅科学研究项目(05C143)

One Kind of m-Steps Modified Relaxed Projection Method

(College of Mathematics and Computer Sciences,Jishou University,Jishou 416000,Hunan China)

Online:2006-09-25 Published:2012-06-29

摘要/Abstract

摘要：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.

关键词： 凸可行性问题, 松弛投影法, m步修正松弛投影法, 弱收敛, 强收敛

Abstract: 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.

Key words: convex feasibility problem, relaxed projection method, m-steps modified relaxed projection method, weakly convergence, strong convergence

方东辉. 一种修正的m步松弛投影法[J]. journal6, 2006, 27(5): 6-9.

FANG Dong-Hui. One Kind of m-Steps Modified Relaxed Projection Method[J]. journal6, 2006, 27(5): 6-9.

[1]	曾艳，陈国平. Banach空间中广义变分不等式迭代算法的强收敛性[J]. 吉首大学学报（自然科学版）, 2017, 38(4): 14-18.
[2]	邢家省, 高建全, 罗秀华. 空间L_p(Ω)中强收敛和弱收敛的一些判别方法[J]. journal6, 2014, 35(6): 1-6.