Hybrid Hu-Storey type methods for large-scale nonlinear monotone systems and signal recovery

Autor:	Zoltan Papp, Sanja Rapajić, Abdulkarim Hassan Ibrahim, Supak Phiangsungnoen
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Nonlinear monotone systems Hyperplane projection method Derivative-free line search Conjugate gradient directions Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-18 (2024)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-024-03187-1
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1cee506cfefb44c7a5b104c1d8f5549e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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