[1]张九玲,罗俊,王前芬. 求解分裂可行问题的改进投影算法[J].计算机技术与发展,2015,25(03):114-117.
　ZHANG Jiu-ling,LUO Jun,WANG Qian-fen. Improved Projection Methods for Solving Split Feasibility Problem[J].,2015,25(03):114-117.
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 求解分裂可行问题的改进投影算法()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
25
期数:
2015年03期
页码:
114-117
栏目:
智能、算法、系统工程
出版日期:
2015-03-10

文章信息/Info

Title:
 Improved Projection Methods for Solving Split Feasibility Problem
文章编号:
1673-629X（2015)03-0114-04
作者:
 张九玲; 罗俊; 王前芬
 南京邮电大学 理学院
Author(s):
 ZHANG Jiu-ling; LUO Jun; WANG Qian-fen
关键词:
 ; 分裂可行问题; 步长; CQ算法; 变分不等式
Keywords:
 ; split-feasibility problem ; step size; CQ algorithm; variational inequalities
分类号:
TP301.6
文献标志码:
A
摘要:
 分裂可行问题是一类有着广泛应用的最优化问题。文中由变分不等式改进的修正外梯度方法得到启发，对求解分裂可行性问题的修正松弛CQ算法进行改进，即对该算法的步长提出了一种新的取法，从而减少了算法迭代步骤，提高了算法运行效率，比常规的算法效率提高了17%。此外，证明了算法的全局收敛性。数值实验结果表明，文中改进的投影算法具有较快的收敛速度和良好的可行性，特别地，当维数较大的时候，其优越性更明显。
Abstract:
 Split feasibility problem is a optimization problem with wide range of applications. In this paper,based on the inspiration of the improved modified extra-gradient method to solve some variational inequalities,improve the modified relaxed CQ algorithm for the split feasibility problem,which proposes a new strategy for computing step size. The new algorithm reduces the iterative steps and improves operation efficiency. The efficiency of the algorithm is increased by 17%. In addition,prove the global convergence of the method. And meanwhile the same numerical results show that the algorithm has a faster convergence speed and can be applied easily. In particular, when the dimension is large,its superiority is more obvious.

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更新日期/Last Update: 2015-05-04