New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications

Auwal Bala Abubakar, Poom Kumam*, Abdulkarim Hassan Ibrahim, Parin Chaipunya, Sadiya Ali Rano

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we present a new hybrid spectral-conjugate gradient (SCG) algorithm for finding approximate solutions to nonlinear monotone operator equations. The hybrid conjugate gradient parameter has the Polak–Ribière–Polyak (PRP), Dai–Yuan (DY), Hestenes–Stiefel (HS) and Fletcher–Reeves (FR) as special cases. Moreover, the spectral parameter is selected such that the search direction has the descent property. Also, the search directions are bounded and the sequence of iterates generated by the new hybrid algorithm converge globally. Furthermore, numerical experiments were conducted on some benchmark nonlinear monotone operator equations to assess the efficiency of the proposed algorithm. Finally, the algorithm is shown to have the ability to recover disturbed signals.

Original languageEnglish
JournalMathematics and Computers in Simulation
DOIs
Publication statusAccepted/In press - 2021
Externally publishedYes

Keywords

  • Conjugate gradient
  • Non-linear equations
  • Projection map
  • Signal recovery

Fingerprint

Dive into the research topics of 'New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications'. Together they form a unique fingerprint.

Cite this