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 and Sadiya Ali Rano

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 201, issue C, 670-683

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.

Keywords: Non-linear equations; Conjugate gradient; Projection map; Signal recovery (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:201:y:2022:i:c:p:670-683

DOI: 10.1016/j.matcom.2021.07.005

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