期刊文献+

解决矩阵秩最小化问题的一个新算法

A New Algorithm to Solve the Matrix Rank Minimization Problem
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摘要 介绍一种新的不动点迭代算法,用于解决矩阵秩最小化问题.此算法是在原不动点算法基础上,将收缩算子与单位算子做一个凸组合,进行加速.并证明了新算法的收敛性. In this paper, a new fixed point iterative algorithm is introduced, which is to solve the matrix rank minimization problem. Based on the original fixed point iterative algorithm, the new algorithm makes a convex combination between unit operator and shrinkage operator, and accelerates the iterative algorithm successfully. At last, the convergence of the new algorithm is proved.
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2012年第5期21-23,共3页 Natural Science Journal of Harbin Normal University
关键词 矩阵秩 不动点迭代算法 收缩算子 Matrix rank Fixed point iterative algorithm Shrinkage operator
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参考文献2

  • 1Charles Byme. A unified treatment of some iterative algo- rithms in signal processing and image reconstruction. Inverse Problems ,2004,20 : 103 - 120.
  • 2Shiqian Ma, D G, L C. Fixed point and Bregment iterative methods for matrix rank minimization, Math Program Ser, 2011,12g :321 -353.

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