Operations Research Transactions ›› 2017, Vol. 21 ›› Issue (2): 57-65.doi: 10.15960/j.cnki.issn.1007-6093.2017.02.007

Special Issue: 庆贺王长钰教授80华诞专辑

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The relaxed projection methods for solving the  l_1-norm problem of linear equations and their applications

QU Biao1,*  ZHANG WenweiYU Lichao1   

  1. 1. Institute of Operations Research, School of Management, Qufu Normal University, Rizhao 276826, Shandong,  China
  • Received:2017-03-24 Online:2017-06-15 Published:2017-06-15

Abstract:

This paper discusses of the methods for solving the l_1-norm problem of linear equations. First, the problem is translated into a split feasibility problem and a convex feasibility problem, respectively. Then,some relaxed projection algorithms are presented. Finally, the new algorithms are applied to solve some signal processing problems.

Key words: linear equations, l_1-norm problem, relaxed projection algorithm