Solutions of large-scale nonlinear systems VIA using quasi-Newton methods of order 1 and 2 | ||
| The Arab Journal of Scientific Research | ||
| Volume 8, Issue 9, October 2024, Pages 1-22 PDF (1.26 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/ajsr.2024.390105 | ||
| Author | ||
| Nouf Abdullah Hassan Alshehri | ||
| Department of Mathematics College of Science King Khalid University | ||
| Abstract | ||
| This thesis studies numerical solutions of large-scale nonlinear systems using unconstrained optimization techniques. We focus on Quasi-Newton methods of order 1 and 2. We describe the methods, the corresponding algorithms, and their costs and convergence rates in order to allow a motivated methods choice. We limit ourselves to nonlinear linear systems resulting from finite elements discretization of boundary value problems. | ||
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