Spectral conjugate gradient like method for signal reconstruction

Abdulkarim Hassan Ibrahim, Kanikar Muangchoo*, Auwal Bala Abubakar, Afeez Dewumi Adedokun, Hassan Mohammad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

This paper presents a derivative-free conjugate gradient algorithm for solving the l1-regulariza-tion problem arising in compressive sensing. The search direction of the proposed method is bounded and satisfies the sufficient descent condition. Under some mild assumptions, the global convergence of the proposed algorithm is established. Numerical experiments in recovering sparse signal are performed to illustrate the efficiency of the algorithm compared with existing algorithms.

Original languageEnglish
Pages (from-to)2013-2022
Number of pages10
JournalThai Journal of Mathematics
Volume18
Issue number4
Publication statusPublished - Dec 2020
Externally publishedYes

Keywords

  • Compressive sensing
  • Conjugate gradient method
  • Global convergence
  • Nonlinear equations
  • Projection method

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