Solutions of large-scale nonlinear ‎systems VIA using quasi-Newton ‎methods of order 1 and 2‎

Document Type : Original Article

Author

Department of Mathematics College of Science King Khalid ‎University

10.21608/ajsr.2024.390105

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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