[1]王前芬,张九玲,罗俊. 求解多集合分裂可行问题的不精确投影算法[J].计算机技术与发展,2015,25(02):9092.
　WANG Qian-fen,ZHANG Jiu-ling,LUO Jun. Inexact Projection Methods for Solving Multiple-sets Split Feasibility Problem[J].,2015,25(02):9092.
点击复制

 求解多集合分裂可行问题的不精确投影算法()
分享到：

《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
25
期数:
2015年02期
页码:
9092
栏目:
智能、算法、系统工程
出版日期:
2015-02-10

文章信息/Info

Title:
 Inexact Projection Methods for Solving Multiple-sets Split Feasibility Problem
文章编号:
1673-629X（2015)02-0090-03
作者:
 王前芬; 张九玲; 罗俊
 南京邮电大学 理学院
Author(s):
 WANG Qian-fen; ZHANG Jiu-ling; LUO Jun
关键词:
 ; 多集合分裂可行问题; 不精确投影; 全局收敛性; 类-Armijo搜索
Keywords:
 ; multiple-sets split feasibility problem; inexact projection; global convergence; Armijo-like searches
分类号:
TP301.6
文献标志码:
A
摘要:
 文中基于求解分裂可行问题的不精确投影算法，推广到求解多集合分裂可行问题。首先，用到包含给定闭凸集的半空间上的投影代替原来到闭凸集上的投影，投影更容易计算。其次，用类-Armijo搜索获取步长代替恒定步长，并且利用得到的迭代步作为一个预测步，再进行一次校正，提出了预测校正不精确投影算法。该算法不需要计算矩阵的范数和最大特征值。文中还证明了预测校正算法的全局收敛性，最后给出了算法的数值实验结果，表明不精确投影算法是可行稳定的，且预测校正算法具有更快的收敛速度。
Abstract:
 Based on the inexact projection-type method for solving the split feasibility problem,present the inexact projection methods to solve the multiple-sets split feasibility problem. Firstly,each iteration of the first proposed algorithm consists of a projection onto a half-space which includes the given non-empty closed convex set. The new algorithm is easy to implement. Secondly,modification of the in-exact projection method is presented with constant stepsize by adopting Armijo-like searches which does not require the computation of the matrix norm and the largest eigenvalue,and make another correction by using iteration as a predicting step. It has also proved the glob-al convergence of the predictor-corrector algorithm,and given the numerical experiment results which show that the inexact projection al-gorithm is feasible and stable,the predictor-corrector algorithm has a faster convergence rate.

相似文献/References:

[1]张志宏,吴庆波,邵立松,等.基于飞腾平台TOE协议栈的设计与实现[J].计算机技术与发展,2014,24(07):1.
　ZHANG Zhi-hong,WU Qing-bo,SHAO Li-song,et al. Design and Implementation of TCP/IP Offload Engine Protocol Stack Based on FT Platform[J].,2014,24(02):1.
[2]梁文快,李毅. 改进的基因表达算法对航班优化排序问题研究[J].计算机技术与发展,2014,24(07):5.
　LIANG Wen-kuai,LI Yi. Research on Optimization of Flight Scheduling Problem Based on Improved Gene Expression Algorithm[J].,2014,24(02):5.
[3]黄静,王枫,谢志新,等. EAST文档管理系统的设计与实现[J].计算机技术与发展,2014,24(07):13.
　HUANG Jing,WANG Feng,XIE Zhi-xin,et al. Design and Implementation of EAST Document Management System[J].,2014,24(02):13.
[4]侯善江[],张代远[][][]. 基于样条权函数神经网络P2P流量识别方法[J].计算机技术与发展,2014,24(07):21.
　HOU Shan-jiang[],ZHANG Dai-yuan[][][]. P2P Traffic Identification Based on Spline Weight Function Neural Network[J].,2014,24(02):21.
[5]李璨,耿国华,李康,等. 一种基于三维模型的文物碎片线图生成方法[J].计算机技术与发展,2014,24(07):25.
　LI Can,GENG Guo-hua,LI Kang,et al. A Method of Obtaining Cultural Debris’ s Line Chart Based on Three-dimensional Model[J].,2014,24(02):25.
[6]翁鹤,皮德常. 混沌RBF神经网络异常检测算法[J].计算机技术与发展,2014,24(07):29.
　WENG He,PI De-chang. Chaotic RBF Neural Network Anomaly Detection Algorithm[J].,2014,24(02):29.
[7]刘茜[],荆晓远[],李文倩[],等. 基于流形学习的正交稀疏保留投影[J].计算机技术与发展,2014,24(07):34.
　LIU Qian[],JING Xiao-yuan[,LI Wen-qian[],et al. Orthogonal Sparsity Preserving Projections Based on Manifold Learning[J].,2014,24(02):34.
[8]尚福华,李想,巩淼. 基于模糊框架-产生式知识表示及推理研究[J].计算机技术与发展,2014,24(07):38.
　SHANG Fu-hua,LI Xiang,GONG Miao. Research on Knowledge Representation and Inference Based on Fuzzy Framework-production[J].,2014,24(02):38.
[9]叶偲,李良福,肖樟树. 一种去除运动目标重影的图像镶嵌方法研究[J].计算机技术与发展,2014,24(07):43.
　YE Si,LI Liang-fu,XIAO Zhang-shu. Research of an Image Mosaic Method for Removing Ghost of Moving Targets[J].,2014,24(02):43.
[10]余松平[][],蔡志平[],吴建进[],等. GSM-R信令监测选择录音系统设计与实现[J].计算机技术与发展,2014,24(07):47.
　YU Song-ping[][],CAI Zhi-ping[] WU Jian-jin[],GU Feng-zhi[]. Design and Implementation of an Optional Voice Recording System Based on GSM-R Signaling Monitoring[J].,2014,24(02):47.
[11]罗俊[],刘健[]. Hilbert 空间上多集合分裂可行问题的KM 迭代算法[J].计算机技术与发展,2016,26(01):43.
　LUO Jun[],LIU Jian[]. KM Iterative Algorithm for Multiple-sets Split Feasibility Problem in Hilbert Space[J].,2016,26(02):43.

更新日期/Last Update: 2015-04-28