We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
A Modified PRP-CG Type Derivative-Free Algorithm with Optimal Choices for Solving Large-Scale Nonlinear Symmetric Equations.
- Authors
Sabi'u, Jamilu; Muangchoo, Kanikar; Shah, Abdullah; Abubakar, Auwal Bala; Jolaoso, Lateef Olakunle; Lupas, Alina Alb
- Abstract
Inspired by the large number of applications for symmetric nonlinear equations, this article will suggest two optimal choices for the modified Polak–Ribiére–Polyak (PRP) conjugate gradient (CG) method by minimizing the measure function of the search direction matrix and combining the proposed direction with the default Newton direction. In addition, the corresponding PRP parameters are incorporated with the Li and Fukushima approximate gradient to propose two robust CG-type algorithms for finding solutions for large-scale systems of symmetric nonlinear equations. We have also demonstrated the global convergence of the suggested algorithms using some classical assumptions. Finally, we demonstrated the numerical advantages of the proposed algorithms compared to some of the existing methods for nonlinear symmetric equations.
- Subjects
FUKUSHIMA-shi (Japan); NONLINEAR equations; ALGORITHMS
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 2, p234
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13020234