Another hybrid approach for solving monotone operator equations and application to signal processing

Poom Kumam, Auwal Bala Abubakar, Abdulkarim Hassan Ibrahim, Hamza Umar Kura, Bancha Panyanak, Nuttapol Pakkaranang

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a hybrid conjugate gradient (CG) approach for solving nonlinear equations and signal reconstruction. The CG parameter of the approach is a convex combination of the Dai-Yuan (DY)-like and Hestenes-Stiefel (HS)-like parameters. Independent of any line search, the search direction is descent and bounded. Under some reasonable assumptions, the global convergence of the hybrid approach is proved. Numerical experiments on some benchmark test problems show that the proposed approach is efficient compared with some existing algorithms. Finally, the proposed approach is applied in signal reconstruction.
Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
Publication statusPublished - 1 Jan 2022

Keywords

  • ℓ1 -norm minimization
  • compressive sensing
  • global convergence
  • gradient method
  • projection method
  • signal reconstruction

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