A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations. (14th November 2022)

• Record Type: Journal Article
• Authors: Fang, Minglei; Wang, Min; Ding, Defeng
• Other Names: Stanimirović Predrag S. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-11-14
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/5540504
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φ k for solving large-scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search technique. Global convergence of the proposed method is proved under some suitable assumptions. Finally, numerical results illustrating the robustness of the suggested strategy and its comparisons are shown.