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- Title
Hybrid Hu-Storey type methods for large-scale nonlinear monotone systems and signal recovery.
- Authors
Papp, Zoltan; Rapajić, Sanja; Ibrahim, Abdulkarim Hassan; Phiangsungnoen, Supak
- Abstract
We propose two hybrid methods for solving large-scale monotone systems, which are based on derivative-free conjugate gradient approach and hyperplane projection technique. The conjugate gradient approach is efficient for large-scale systems due to low memory, while projection strategy is suitable for monotone equations because it enables simply globalization. The derivative-free function-value-based line search is combined with Hu-Storey type search directions and projection procedure, in order to construct globally convergent methods. Furthermore, the proposed methods are applied into solving a number of large-scale monotone nonlinear systems and reconstruction of sparse signals. Numerical experiments indicate the robustness of the proposed methods.
- Subjects
NONLINEAR systems; SIGNAL reconstruction; CONJUGATE gradient methods; GLOBALIZATION; EQUATIONS
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03187-1