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- Title
A Scaled Dai–Yuan Projection-Based Conjugate Gradient Method for Solving Monotone Equations with Applications.
- Authors
Althobaiti, Ali; Sabi'u, Jamilu; Emadifar, Homan; Junsawang, Prem; Sahoo, Soubhagya Kumar
- Abstract
In this paper, we propose two scaled Dai–Yuan (DY) directions for solving constrained monotone nonlinear systems. The proposed directions satisfy the sufficient descent condition independent of the line search strategy. We also reasonably proposed two different relations for computing the scaling parameter at every iteration. The first relation is proposed by approaching the quasi-Newton direction, and the second one is by taking the advantage of the popular Barzilai–Borwein strategy. Moreover, we propose a robust projection-based algorithm for solving constrained monotone nonlinear equations with applications in signal restoration problems and reconstructing the blurred images. The global convergence of this algorithm is also provided, using some mild assumptions. Finally, a comprehensive numerical comparison with the relevant algorithms shows that the proposed algorithm is efficient.
- Subjects
CONJUGATE gradient methods; IMAGE reconstruction algorithms; CONSTRAINED optimization; NONLINEAR equations; EQUATIONS; NONLINEAR systems
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 7, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14071401