期刊文献+

分裂等式问题的一种简单投影算法

A Simple Projection Algorithm for Solving the Split Equality Problems
下载PDF
导出
摘要 本文主要给出了求解分裂等式问题的一种简单投影算法及其松弛算法,证明了算法的全局收敛性.与相关算法相比,该算法每一步的迭代步长都可直接计算出,避免了计算矩阵的谱半径. In this paper, we mainly introduce a simple projection method and its relaxation to solve the split equality problems. The global convergence property is also proved. Compared with the related algo- rithms, the step - size in these method is computed directly. The algorithm avoids calculating the spectral radius of the matrix.
作者 刘丙花 屈彪
出处 《泰山学院学报》 2013年第3期38-40,共3页 Journal of Taishan University
基金 国家自然科学基金项目(11271226 10971118) 山东省优秀中青年科学家科研奖励基金资助项目(BS2010SF010)
关键词 分裂等式问题 正交投影 松弛投影 split equality problems orthogonal projection relaxed projection
  • 相关文献

参考文献7

  • 1Moudatl A. Alternating CQ - algorithm for convex feasibility and split fixed - point problems[ J]. Nonlinear and Convex Analysis,2012, submitted.
  • 2Moudafi A. A relaxed alternating CQ algorithm for convex feasibility problems [ J ]. Nonlinear Analysis: Theory, Methods and Applica- tions, 2013(79) :17 - 121.
  • 3Byrne, Moudafi A. Extensions of the CQ algorithm for the Split Feasibility and Equality Problems, 2013, draft.
  • 4B Qu, N. H. Xiu. A new halfspace -relaxation projection method for split feasibility problem [ J ]. Linear Algebr. Appl, 2008 (428) : 1218 - 1229.
  • 5E. H. Zarantonello. Projections on convex sets in Hillber space and spectraltheory[ M ]. Wisconsin:University of Wisconsin, 1971.
  • 6R. T. Rockafellar. Convex analysis[ J ]. Princeton Mathematics Series, 1970 (28).
  • 7B. Qu,N. Xiu. A note on the CQ algorithm for the split feasibility problem[J]. Invers Problems, 2005(21 ) : 1655 - 1665.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部